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cyclers.space

cyclers.space

42 independently reproduced orbits — and counting. What "reproduced" means › Why do some orbits look pointy? ›

cyclers.space 42 independently reproduced orbits — and counting V4 ×6V3 ×2V2 ×8V1 ×26 validation V1+ of the open cycler catalogue — regenerated at every build Uranian moon-pair quasi-cyclers Uranus-centric, camera down the Uranian pole (local equatorial frame, moons coplanar); units km. Moon orbits: real sourced semi-major axes as circles (JPL Solar System Dynamics gm_de440 planetary constants (Uranus system GM) + satellite physical/orbital tables (moon semi-major axes), ssd.jpl.nasa.gov — the same registry as cyclerfinder.core.satellites.py). 6 V4 representatives (1 per moon-pair direction) of the 30-member symmetric-closure family discovered by this project; the other 24 same-pair-redundant closures are not separately catalogued. Transfer arcs: idealized 2-body Hohmann-type ellipses between the real moon radii, NOT the row's real arc (found via CR3BP + real URA111 ephemeris). Fan-out azimuth is for visual separation only. Measured synodic duty cycle 61.7-79.1% across the six rows; each valid over a bounded 2000-2083 window, not perpetual. Ariel Umbriel Titania Oberon Umbriel-Oberon-Umbriel (V4) Titania-Oberon-Titania (V4) Ariel-Oberon-Ariel (V4) Umbriel-Titania-Umbriel (V4) Ariel-Titania-Ariel (V4) Ariel-Umbriel-Ariel (V4) Heliocentric Earth–Mars cyclers Heliocentric ecliptic (J2000 idealization); units AU. 17 Russell-family multi-arc rows (V3 ×2, V1 ×15): sourced max-aphelion rings only — per-arc conics unpublished, no full curves drawn. Planets: Standish J2000 osculating ellipses — J2000 osculating ellipse (Standish & Williams Table 1). Clock: idealized phase (no epoch) — encounter timing not asserted. Earth Mars Earth–Moon: Ross-RT resonant family Earth–Moon rotating frame (planar CR3BP, μ = 0.0121506); unit = Earth–Moon distance. Curves: propagated from each row's catalogue (μ, state_nd, T). state_nd is derived upstream from the sourced (μ, C) — a recorded publication gap, not a published trajectory. Markers: time-true in the rotating frame (sourced periods 44.8–84.5 d). Why the pointy cusps? Rotating-frame view: sharp reversals are a frame effect (like Mars's apparent retrograde loop seen from Earth), not a collision or close approach — full explanation: /about/#reading-diagrams. (1,1) prograde Earth-Moon cycler (V2) (2,1) prograde Earth-Moon cycler (V2) (2,1) prograde Earth-Moon cycler, 3D out-of-plane spatial extension (winding k1=2, k2=0, k_z=10) (V2) (3,1) prograde Earth-Moon cycler (V2) (3,2) prograde Earth-Moon cycler (V2) (3,3) prograde Earth-Moon cycler (V2) Earth Moon Earth–Moon: Braik-Ross cyclers Earth–Moon rotating frame (planar CR3BP, μ = 0.0121506); unit = Earth–Moon distance. Curves: propagated from each row's catalogue (μ, state_nd, T). state_nd is derived upstream from the sourced (μ, C) — a recorded publication gap, not a published trajectory. Markers: time-true in the rotating frame (sourced periods 42.1–78.6 d). Why the pointy cusps? Rotating-frame view: sharp reversals are a frame effect (like Mars's apparent retrograde loop seen from Earth), not a collision or close approach — full explanation: /about/#reading-diagrams. (1,1) prograde Earth-Moon cycler — short-period branch (C11a) (V1) (1,1) prograde Earth-Moon cycler — long-period branch (C11b) (V1) (3,2) prograde Earth-Moon cycler (V1) Earth Moon Jovian-moon triple cyclers Jovicentric multi-rev conic arcs (idealized circular-coplanar model). The catalogue's invariants (V∞ multiset, transit times, sequence) do not fix the arc geometry — no curve is drawn for these rows. V1 Liang et al. CGE triple cycler Callisto-Ganymede-Callisto-Europa-Callisto — V∞ Callisto:5.67, Ganymede:6.99, Europa:4.67 km/s V1 Liang et al. CGE triple cycler Callisto-Ganymede-Callisto-Europa-Callisto — V∞ Callisto:5.67, Ganymede:6.99, Europa:4.49 km/s V1 Liang et al. CGE triple cycler Callisto-Ganymede-Callisto-Europa-Callisto — V∞ Callisto:7.64, Ganymede:10.49, Europa:12.02 km/s No curve drawn — see caption. Other systems No scene renderer for this system yet — rows are named and counted, no curve drawn. V1 (1,1) prograde CR3BP cycler (mu=0.001) P1-P2 V1 (3,2) prograde CR3BP cycler (mu=0.1) P1-P2 V1 (3,1) prograde CR3BP cycler (mu=0.3) P1-P2 V1 (1,1) prograde CR3BP cycler (mu=0.5) P1-P2 V2 (3,2) prograde CR3BP cycler (Pluto-Charon, mu=0.10876473603280369) Pluto-Charon No curve drawn — see caption.

A public, reproducible catalogue of planetary cycler trajectories — repeating orbits that shuttle between two or more bodies without stopping, proposed as the backbone of interplanetary transport architectures. It spans the classic Earth-Mars and Earth-Venus-Mars routes and their moon-to-moon cousins in the Earth-Moon, Jovian, Saturnian, and Uranian systems.

Each entry is sourced from the published literature and shown with its validation level, V∞ signature, orbital elements, and primary citation. All numerical values trace back to a specific table, page, or equation in a cited paper. Most entries are V0 — literature-sourced, not yet independently re-derived by the upstream cyclerfinder (319 at V0, 6 at V4, 2 at V3, 8 at V2, 26 at V1). Higher levels populate as the finder's cross-validation gauntlet (the Forge pipeline) closes loops on each entry — a level is assigned only when recorded, mechanical test evidence earns it.

Five kinds, and what they cost

Not every "cycler" is the same. A true cycler repeats forever (a railway line in space); a quasi-cycler repeats for a bounded window; a precursor places a vehicle onto one; a tour runs once to a destination (most flown missions); and a resonant PO repeats forever but never meets the body it would serve. And the railway itself is never quite free: cyclers span a spectrum from ballistic (no deterministic engine burns in the idealised model — e.g. the Earth–Mars S1L1 at ~10 m/s over 30 yr) to powered (the Aldrin cycler at ~1.5–2 km/s every 15 yr). None is truly zero for all time — real planetary geometry, sunlight, and navigation always cost a little. What the kinds mean → ·  the maintenance-ΔV bands →

Catalogue (361 entries)

Filter by encounter body. Click a column header to sort. Click a name for the full record.

Bodies:
epoch-locked only
361 entries 0 / 361 fully defined
Name Class Bodies Struct Period (yr) Identity V∞ (km/s) ΔV band Returns Validity Data Defined Validation Source
Aldrin classic Earth-Mars cycler (outbound / up-escalator, 1 synodic) Cycler E-M SE 2.13 E:6.50, M:9.70 Powered 43% no V2 Aldrin 1985
Aldrin classic Earth-Mars cycler (inbound / down-escalator, 1 synodic) Cycler M-E SE 2.13 M:9.70, E:6.50 Powered 43% no V1 Aldrin 1985
Aldrin 3:2(1)- establishment trajectory (Rogers 2015 Table 4) Precursor E-M SE 2.13 E:6.55, M:? 1 2023-12-09 → 2024-05-29 57% no V0 Rogers 2015
U0L1 3:2(1)- establishment trajectory (Rogers 2015 Table 4) Precursor E-M SE 2.13 E:8.05, M:? 1 2025-11-25 → 2026-03-02 57% no V0 Rogers 2015
VISIT-2 3:2(2)- establishment trajectory (Rogers 2015 Table 3, circular-coplanar) Precursor E-M SE 2.13 a=1.33 AU, e=0.266 E:4.61, M:? 1 57% no V0 Rogers 2015
Case 1 (Byrnes 2002 / 2L3) 3:2(2)- establishment trajectory (Rogers 2015 Table 3, circular-coplanar) Precursor E-M SE 2.13 a=1.26 AU, e=0.233 E:4.48, M:? 1 57% no V0 Rogers 2015
Case 3 (Byrnes 2002) 3:2(2)- establishment trajectory (Rogers 2015 Table 3, circular-coplanar) Precursor E-M SE 2.13 a=1.32 AU, e=0.259 E:4.61, M:? 1 57% no V0 Rogers 2015
S1L1 3:2(2)- establishment trajectory (Rogers 2015 Table 3, circular-coplanar) Precursor E-M SE 2.13 a=1.31 AU, e=0.253 E:4.48, M:? 1 57% no V0 Rogers 2015
U0L1 2:1(1)- establishment trajectory (Rogers 2015 Table 3, circular-coplanar) Precursor E-M SE 2.13 a=1.96 AU, e=0.565 E:12.63, M:? 1 57% no V0 Rogers 2015
U0L1 high-energy zero-loop one-synodic Earth-Mars cycler Cycler E-M SE 2.14 a=2.05 AU, e=0.563 E:?, M:? 71% no V0 McConaghy 2002
McConaghy/Landau/Yam/Longuski two-synodic-period Earth-Mars cycler Cycler E-M MA 4.27 TR=2.65, t=[153,153] d E:4.70, M:5.00 Essentially ballistic 80% no V0 McConaghy 2006
S1L1 ballistic two-synodic-period Earth-Mars cycler Cycler E-M SE 4.27 a=1.30 AU, e=0.257 E:5.65, M:3.05 100% no V0 McConaghy 2002
Russell-Ocampo cycler 2.1.1.+2 ('Case 2' of Byrnes/McConaghy/Longuski 2002) Cycler E-M MA 4.27 AR=0.95, TR=1.11, t=[207] d E:4.10, M:2.00 100% no V0 Byrnes 2002
Russell-Ocampo cycler 2.3.1.+1 ('Case 3' of Byrnes/McConaghy/Longuski 2002) Cycler E-M MA 4.27 AR=1.08, TR=0.92, t=[143] d E:5.40, M:5.30 100% no V0 Byrnes 2002
Russell-Ocampo cycler 2.5.1.+0 (short-transit 2-synodic) Cycler E-M MA 4.27 AR=1.44, TR=1.12, t=[94,558] d E:7.80, M:9.90 100% no V1 Russell 2005
Aldrin 4:3(2)- establishment trajectory (Rogers 2015 Table 4) Precursor E-M SE 4.27 E:5.51, M:? 1 2023-01-03 → 2023-06-13 57% no V0 Rogers 2015
VISIT-1 4:3(2)- establishment trajectory (Rogers 2015 Table 4) Precursor E-M SE 4.27 E:2.83, M:? 1 2046-06-12 → 2046-12-30 57% no V0 Rogers 2015
VISIT-2 4:3(2)- establishment trajectory (Rogers 2015 Table 4) Precursor E-M SE 4.27 E:3.88, M:? 1 2023-12-27 → 2024-07-21 57% no V0 Rogers 2015
Case 1 (Byrnes 2002 / 2L3) 4:3(2)- establishment trajectory (Rogers 2015 Table 4) Precursor E-M SE 4.27 E:4.53, M:? 1 2024-12-14 → 2025-12-14 57% no V0 Rogers 2015
Case 2 (Byrnes 2002) 4:3(2)- establishment trajectory (Rogers 2015 Table 4) Precursor E-M SE 4.27 E:2.91, M:? 1 2029-04-22 → 2029-10-10 57% no V0 Rogers 2015
Case 3 (Byrnes 2002) 4:3(2)- establishment trajectory (Rogers 2015 Table 4) Precursor E-M SE 4.27 E:3.69, M:? 1 2022-12-20 → 2023-07-24 57% no V0 Rogers 2015
S1L1 4:3(2)- establishment trajectory (Rogers 2015 Table 4) Precursor E-M SE 4.27 E:3.66, M:? 1 2022-12-20 → 2023-07-29 57% no V0 Rogers 2015
VISIT-1 5:4(3)- establishment trajectory (Rogers 2015 Table 3, circular-coplanar) Precursor E-M SE 4.27 a=1.22 AU, e=0.184 E:2.66, M:? 1 57% no V0 Rogers 2015
VISIT-2 5:4(3)- establishment trajectory (Rogers 2015 Table 3, circular-coplanar) Precursor E-M SE 4.27 a=1.36 AU, e=0.266 E:3.75, M:? 1 57% no V0 Rogers 2015
Case 1 (Byrnes 2002 / 2L3) 5:4(3)- establishment trajectory (Rogers 2015 Table 3, circular-coplanar) Precursor E-M SE 4.27 a=1.29 AU, e=0.229 E:3.30, M:? 1 57% no V0 Rogers 2015
Case 2 (Byrnes 2002) 5:4(3)- establishment trajectory (Rogers 2015 Table 3, circular-coplanar) Precursor E-M SE 4.27 a=1.24 AU, e=0.193 E:2.77, M:? 1 57% no V0 Rogers 2015
S1L1 5:4(3)- establishment trajectory (Rogers 2015 Table 3, circular-coplanar) Precursor E-M SE 4.27 a=1.33 AU, e=0.248 E:3.51, M:? 1 57% no V0 Rogers 2015
U0L1 4:3(3)- establishment trajectory (Rogers 2015 Table 3, circular-coplanar) Precursor E-M SE 4.27 a=2.11 AU, e=0.554 E:9.80, M:? 1 57% no V0 Rogers 2015
Case 1 ballistic two-synodic-period Earth-Mars cycler (S2L1 family) Cycler E-M SE 4.27 a=1.22 AU, e=0.238 E:?, M:? 71% no V0 McConaghy 2002
Russell-Ocampo cycler 4.991gG2 (= McConaghy/Longuski/Byrnes 'S1L1' / 'Notable', two-synodic ballistic) Cycler E-M MA 4.27 TR=2.65, t=[150,150] d E:4.99, M:5.10 80% no V3 McConaghy 2002
Russell-Ocampo cycler 8.049gGf2 (high-energy two-synodic ballistic) Cycler E-M MA 4.27 TR=1.45, t=[93,93] d E:8.05, M:10.02 80% no V3 Russell 2003
Russell-Ocampo cycler 8.165Gfh-f2 (two-synodic ballistic, four legs) Cycler E-M MA 4.27 TR=1.08, t=[92,92] d E:8.16, M:10.06 80% no V0 Russell 2003
Russell-Ocampo cycler 9.353Gg2 (high-energy two-synodic ballistic) Cycler E-M MA 4.27 TR=1.70, t=[85,85] d E:9.35, M:10.52 80% no V1 McConaghy 2002
Sanchez Net 2022 EEM near-ballistic Earth-Mars cycler (Fig. 2a Cycler 1) Cycler E-M MA 4.28 t=[136,255] d E:4.28, M:6.21, E:3.60, E:3.71, M:5.21, E:5.22, E:5.23, M:7.28 82% no V0 Sanchez Net 2022
Russell-Ocampo cycler 3.1.1.+3 (low-V_inf 3-synodic) Cycler E-M MA 6.41 AR=1.07, TR=1.19, t=[174] d E:3.60, M:4.60 100% no V0 Russell 2005
Russell-Ocampo cycler 3.3.1.+2 (3-synodic) Cycler E-M MA 6.41 AR=1.19, TR=1.06, t=[141] d E:4.30, M:6.80 100% no V0 Russell 2005
Russell-Ocampo cycler 3.5.1.+1 (high-V_inf, short-transit, 3-synodic) Cycler E-M MA 6.41 AR=1.43, TR=1.15, t=[115] d E:5.40, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 3.5.2.+0 (high-V_inf, short-transit, 3-synodic) Cycler E-M MA 6.41 AR=1.43, TR=1.06, t=[121] d E:5.20, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 3.7.1.+1 (low-V_inf 3-synodic) Cycler E-M MA 6.41 AR=1.07, TR=1.56, t=[175] d E:3.60, M:4.60 100% no V0 Russell 2005
Russell-Ocampo cycler 3.9.1.+0 (high-V_inf, short-transit, 3-synodic) Cycler E-M MA 6.41 AR=1.43, TR=1.17, t=[116] d E:5.40, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 3.1.1.+2 (3-synodic) Cycler E-M MA 6.41 AR=1.43, TR=0.89, t=[115] d E:5.40, M:9.20 100% no V1 Russell 2005
Russell-Ocampo cycler 3.1.3.+0 (3-synodic) Cycler E-M MA 6.41 AR=1.43, TR=0.93, t=[123] d E:5.10, M:9.10 100% no V1 Russell 2005
Russell-Ocampo cycler 3.5.1.+2 (3-synodic) Cycler E-M MA 6.41 AR=0.94, TR=1.80, t=[231] d E:2.70, M:1.50 100% no V0 Russell 2005
Russell-Ocampo cycler 3.1.2.+1 (3-synodic, low terminal speeds) Cycler E-M MA 6.41 AR=1.07, TR=1.23, t=[181,902] d E:3.40, M:4.60 100% no V0 Russell 2005
EMEEVE VEM Triple Cycler (3-synodic beat archetype — UNREALIZED in AAS 17-577) Cycler E-M-E-E-V-E SE 6.41 E:?, M:? 14% no V0 Jones 2017
Russell-Ocampo cycler 3.64gGg3 (low-energy three-synodic ballistic, bolded promising) Cycler E-M MA 6.41 TR=1.62, t=[175,175] d E:3.64, M:4.59 80% no V1 Russell 2003
Russell-Ocampo cycler 3.77Gh3 (3-synodic ballistic with non-trivial half-rev return) Cycler E-M MA 6.41 TR=1.76, t=[171,171] d E:3.77, M:4.63 80% no V0 Russell 2003
Russell-Ocampo cycler 3.78Gg3 (3-synodic ballistic, bolded promising) Cycler E-M MA 6.41 TR=1.81, t=[171,171] d E:3.78, M:4.63 80% no V1 Russell 2003
Russell-Ocampo cycler 5.30gGf3 (3-synodic ballistic with 3:2 resonant orbit) Cycler E-M MA 6.41 TR=1.27, t=[118,118] d E:5.30, M:9.17 80% no V1 Russell 2003
Russell-Ocampo cycler 5.66Gfh3 (3-synodic ballistic with 2:1 resonant orbit) Cycler E-M MA 6.41 TR=1.26, t=[113,113] d E:5.66, M:9.26 80% no V0 Russell 2003
Russell-Ocampo cycler 9.94Gg3 (high-energy 3-synodic, shortest transit) Cycler E-M MA 6.41 TR=1.10, t=[82,82] d E:9.94, M:10.76 80% no V1 Russell 2003
Russell-Ocampo cycler 3.66gfF3 (3-synodic ballistic, full-rev transit, bolded) Cycler E-M MA 6.41 TR=1.19, t=[173,199] d E:3.66, M:4.66 80% no V0 Russell 2003
Russell-Ocampo cycler 5.30ggF3 (3-synodic ballistic, full-rev, bolded short inbound) Cycler E-M MA 6.41 TR=1.27, t=[143,207] d E:5.30, M:5.44 80% no V1 Russell 2003
Russell-Ocampo cycler 5.75ggF3 (3-synodic ballistic, full-rev, short transfer) Cycler E-M MA 6.41 TR=1.34, t=[111,142] d E:5.75, M:9.36 80% no V1 Russell 2003
Russell-Ocampo cycler 6.44Gg3 (3-synodic NEAR-ballistic, long transit, low V_inf at Mars) Cycler E-M MA 6.41 TR=0.95, t=[262,262] d E:6.44, M:3.74 80% no V1 Russell 2003
Sanchez Net 2022 EM near-ballistic Earth-Mars cycler (Fig. 2b Cycler 2) Cycler E-M MA 7.87 t=[1447,1026] d M:6.47, E:3.09, E:5.29, M:6.87, E:5.72 75% no V0 Sanchez Net 2022
Russell-Ocampo cycler 4.3.1.-5 (low-energy 4-synodic, near-Hohmann) Cycler E-M MA 8.54 AR=0.99, TR=1.55, t=[268,2315] d E:3.10, M:2.50 100% no V0 Russell 2005
Russell-Ocampo cycler 4.0.3.+1 (good terminal speeds, generic returns only) Cycler E-M MA 8.54 AR=1.07, TR=1.18, t=[160] d E:4.30, M:4.90 100% no V0 Russell 2005
Russell-Ocampo cycler 4.1.1.-5 (4-synodic) Cycler E-M MA 8.54 AR=1.15, TR=1.11, t=[173] d E:4.10, M:6.10 100% no V0 Russell 2005
Russell-Ocampo cycler 4.3.1.-4 (4-synodic) Cycler E-M MA 8.54 AR=1.26, TR=1.01, t=[154] d E:4.70, M:7.60 100% no V0 Russell 2005
Russell-Ocampo cycler 4.5.1.-4 (promising energy) Cycler E-M MA 8.54 AR=1.07, TR=1.55, t=[196] d E:3.60, M:4.70 100% no V0 Russell 2005
Russell-Ocampo cycler 4.5.1.-3 (high-V_inf, 4-synodic) Cycler E-M MA 8.54 AR=1.44, TR=1.15, t=[137] d E:5.50, M:9.30 100% no V0 Russell 2005
Russell-Ocampo cycler 4.5.2.-2 (promising energy) Cycler E-M MA 8.54 AR=1.07, TR=1.40, t=[191,918] d E:3.40, M:4.60 100% no V0 Russell 2005
Russell-Ocampo cycler 4.5.3.-1 (high-V_inf, 4-synodic) Cycler E-M MA 8.54 AR=1.43, TR=1.02, t=[130] d E:5.10, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 4.7.1.-3 (4-synodic) Cycler E-M MA 8.54 AR=1.20, TR=1.38, t=[163] d E:4.30, M:6.80 100% no V0 Russell 2005
Russell-Ocampo cycler 4.9.1.-2 (high-V_inf, 4-synodic) Cycler E-M MA 8.54 AR=1.44, TR=1.16, t=[137] d E:5.50, M:9.30 100% no V0 Russell 2005
Russell-Ocampo cycler 4.9.2.-1 (turn-angle showcase) Cycler E-M MA 8.54 AR=1.44, TR=1.05, t=[132] d E:5.20, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 4.10.1.+2 (high-V_inf, 4-synodic) Cycler E-M MA 8.54 AR=1.03, TR=1.65, t=[131] d E:8.90, M:5.00 100% no V0 Russell 2005
Russell-Ocampo cycler 4.11.1.-2 (promising energy) Cycler E-M MA 8.54 AR=1.07, TR=1.58, t=[195] d E:3.60, M:4.70 100% no V0 Russell 2005
Russell-Ocampo cycler 4.12.1.+1 (high-V_inf, short-transit, 4-synodic) Cycler E-M MA 8.54 AR=1.16, TR=1.48, t=[93] d E:10.80, M:8.20 100% no V0 Russell 2005
Russell-Ocampo cycler 4.13.1.-1 (high-V_inf, 4-synodic) Cycler E-M MA 8.54 AR=1.44, TR=1.16, t=[137] d E:5.50, M:9.30 100% no V0 Russell 2005
Russell-Ocampo cycler 4.14.1.-1 (high-V_inf, 4-synodic) Cycler E-M MA 8.54 AR=1.12, TR=1.13, t=[199] d E:14.70, M:9.40 100% no V0 Russell 2005
Russell-Ocampo cycler 4.14.1.+0 (high-V_inf, short-transit, 4-synodic) Cycler E-M MA 8.54 AR=1.49, TR=1.09, t=[66] d E:14.10, M:12.70 100% no V0 Russell 2005
Russell-Ocampo cycler 4.1.1.-6 (4-synodic) Cycler E-M MA 8.54 AR=0.94, TR=1.37, t=[256] d E:2.70, M:1.60 100% no V0 Russell 2005
Russell-Ocampo cycler 4.1.1.-4 (4-synodic) Cycler E-M MA 8.54 AR=1.44, TR=0.89, t=[137] d E:5.50, M:9.30 100% no V1 Russell 2005
Russell-Ocampo cycler 4.1.2.-3 (4-synodic) Cycler E-M MA 8.54 AR=0.94, TR=1.40, t=[250] d E:2.60, M:1.50 100% no V0 Russell 2005
Russell-Ocampo cycler 4.1.2.-2 (4-synodic) Cycler E-M MA 8.54 AR=1.43, TR=0.93, t=[132] d E:5.20, M:9.20 100% no V1 Russell 2005
Russell-Ocampo cycler 4.1.4.-1 (4-synodic) Cycler E-M MA 8.54 AR=1.43, TR=0.93, t=[129] d E:5.10, M:9.20 100% no V1 Russell 2005
Russell-Ocampo cycler 4.6.1.-4 (4-synodic) Cycler E-M MA 8.54 AR=0.91, TR=1.50, t=[154] d E:6.80, M:2.10 100% no V0 Russell 2005
Russell-Ocampo cycler 4.6.3.+0 (4-synodic) Cycler E-M MA 8.54 AR=1.43, TR=0.88, t=[105] d E:6.40, M:9.50 100% no V1 Russell 2005
Russell-Ocampo cycler 4.7.1.-2 (4-synodic) Cycler E-M MA 8.54 AR=1.77, TR=0.96, t=[120] d E:6.60, M:11.40 100% no V0 Russell 2005
Russell-Ocampo cycler 4.8.1.+3 (4-synodic) Cycler E-M MA 8.54 AR=0.96, TR=1.64, t=[164] d E:7.70, M:3.10 100% no V0 Russell 2005
Russell-Ocampo cycler 4.8.1.+2 (4-synodic) Cycler E-M MA 8.54 AR=1.31, TR=0.86, t=[76] d E:12.50, M:10.70 100% no V0 Russell 2005
Russell-Ocampo cycler 4.9.1.-3 (4-synodic) Cycler E-M MA 8.54 AR=0.94, TR=1.83, t=[256] d E:2.70, M:1.60 100% no V0 Russell 2005
Russell-Ocampo cycler 4.10.1.-3 (4-synodic) Cycler E-M MA 8.54 AR=0.92, TR=1.46, t=[263] d E:10.20, M:3.60 100% no V0 Russell 2005
Russell-Ocampo cycler 4.12.1.-2 (4-synodic) Cycler E-M MA 8.54 AR=0.97, TR=1.43, t=[268] d E:11.60, M:4.80 100% no V0 Russell 2005
Rall 1970 periodic orbit M4-1 (circular-coplanar, App E) Cycler E-M MA 8.54 t=[164] d E:7.65, M:9.35, E:5.39 67% no V0 Rall 1970
Rall 1970 periodic orbit M4-1A (eccentric-inclined, App F) Cycler E-M MA 8.54 t=[164] d E:7.41, M:9.68 60% no V0 Rall 1970
Russell-Ocampo cycler 5.1.1.-7 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=1.04, TR=0.97, t=[229] d E:5.00, M:4.30 100% no V0 Russell 2005
Russell-Ocampo cycler 5.1.2.-3 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.20, TR=1.00, t=[168] d E:4.70, M:7.00 100% no V0 Russell 2005
Russell-Ocampo cycler 5.1.5.-1 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=1.44, TR=0.92, t=[133] d E:5.20, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 5.2.1.+7 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=0.90, TR=1.07, t=[182] d E:4.50, M:1.30 100% no V0 Russell 2005
Russell-Ocampo cycler 5.2.2.+2 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=1.20, TR=0.94, t=[128] d E:5.20, M:7.10 100% no V0 Russell 2005
Russell-Ocampo cycler 5.2.5.+0 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=1.43, TR=0.91, t=[118] d E:5.30, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 5.3.1.-7 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=0.92, TR=1.17, t=[270] d E:3.80, M:1.40 100% no V0 Russell 2005
Russell-Ocampo cycler 5.3.1.-6 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=1.10, TR=0.90, t=[205] d E:5.50, M:5.70 100% no V0 Russell 2005
Russell-Ocampo cycler 5.3.3.-2 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.07, TR=1.19, t=[195] d E:3.60, M:4.70 100% no V0 Russell 2005
Russell-Ocampo cycler 5.4.1.+6 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=0.94, TR=1.45, t=[189] d E:4.90, M:1.90 100% no V0 Russell 2005
Russell-Ocampo cycler 5.4.1.+5 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.12, TR=1.06, t=[122] d E:7.00, M:6.30 100% no V0 Russell 2005
Russell-Ocampo cycler 5.4.3.+1 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.07, TR=1.44, t=[170] d E:3.80, M:4.70 100% no V0 Russell 2005
Russell-Ocampo cycler 5.5.1.-6 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=0.96, TR=1.95, t=[279] d E:4.30, M:2.20 100% no V0 Russell 2005
Russell-Ocampo cycler 5.5.1.-5 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.18, TR=1.44, t=[186] d E:6.20, M:7.00 100% no V0 Russell 2005
Russell-Ocampo cycler 5.5.1.-4 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.48, TR=1.08, t=[154] d E:8.00, M:10.30 100% no V0 Russell 2005
Russell-Ocampo cycler 5.5.2.-3 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=0.94, TR=1.79, t=[262] d E:3.00, M:1.70 100% no V0 Russell 2005
Russell-Ocampo cycler 5.5.2.-2 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.45, TR=1.19, t=[142] d E:5.90, M:9.50 100% no V0 Russell 2005
Russell-Ocampo cycler 5.5.4.-1 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.44, TR=1.10, t=[134] d E:5.30, M:9.30 100% no V0 Russell 2005
Russell-Ocampo cycler 5.6.1.+5 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=0.98, TR=1.74, t=[198] d E:5.40, M:2.70 100% no V0 Russell 2005
Russell-Ocampo cycler 5.6.1.+4 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.20, TR=1.23, t=[107] d E:7.70, M:7.60 100% no V0 Russell 2005
Russell-Ocampo cycler 5.6.1.+3 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=1.49, TR=0.90, t=[82] d E:9.80, M:11.00 100% no V0 Russell 2005
Russell-Ocampo cycler 5.6.2.+2 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=0.94, TR=1.36, t=[219] d E:3.30, M:1.70 100% no V0 Russell 2005
Russell-Ocampo cycler 5.6.2.+1 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=1.44, TR=0.87, t=[104] d E:6.40, M:9.50 100% no V0 Russell 2005
Russell-Ocampo cycler 5.6.4.+0 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.43, TR=1.16, t=[116] d E:5.40, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 5.7.1.-5 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.02, TR=1.78, t=[245] d E:4.80, M:3.60 100% no V0 Russell 2005
Russell-Ocampo cycler 5.7.1.-4 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.30, TR=1.27, t=[169] d E:7.00, M:8.50 100% no V0 Russell 2005
Russell-Ocampo cycler 5.7.1.-3 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=1.71, TR=0.93, t=[142] d E:9.10, M:11.90 100% no V0 Russell 2005
Russell-Ocampo cycler 5.8.1.+4 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.03, TR=1.91, t=[154] d E:6.10, M:4.30 100% no V0 Russell 2005
Russell-Ocampo cycler 5.8.1.+3 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.31, TR=1.30, t=[94] d E:8.60, M:9.10 100% no V0 Russell 2005
Russell-Ocampo cycler 5.8.1.+2 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=1.72, TR=0.92, t=[73] d E:11.00, M:12.60 100% no V0 Russell 2005
Russell-Ocampo cycler 5.9.1.-4 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.10, TR=2.09, t=[204] d E:5.60, M:5.70 100% no V0 Russell 2005
Russell-Ocampo cycler 5.9.1.-3 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.48, TR=1.38, t=[154] d E:8.00, M:10.30 100% no V0 Russell 2005
Russell-Ocampo cycler 5.9.1.-2 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=2.15, TR=0.93, t=[130] d E:10.50, M:13.80 100% no V0 Russell 2005
Russell-Ocampo cycler 5.9.2.-2 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.08, TR=1.57, t=[198] d E:4.00, M:4.90 100% no V0 Russell 2005
Russell-Ocampo cycler 5.9.2.-1 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=2.10, TR=0.90, t=[117] d E:7.90, M:12.90 100% no V0 Russell 2005
Russell-Ocampo cycler 5.9.3.-1 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.44, TR=1.16, t=[137] d E:5.50, M:9.30 100% no V0 Russell 2005
Russell-Ocampo cycler 5.10.1.+3 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.11, TR=1.94, t=[123] d E:6.90, M:6.20 100% no V0 Russell 2005
Russell-Ocampo cycler 5.10.1.+2 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.49, TR=1.25, t=[82] d E:9.80, M:10.90 100% no V0 Russell 2005
Russell-Ocampo cycler 5.10.2.+1 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.07, TR=1.71, t=[160] d E:4.30, M:4.90 100% no V0 Russell 2005
Russell-Ocampo cycler 5.10.2.+0 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=2.08, TR=0.87, t=[81] d E:8.60, M:13.00 100% no V0 Russell 2005
Russell-Ocampo cycler 5.10.3.+0 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.43, TR=1.24, t=[112] d E:5.70, M:9.30 100% no V0 Russell 2005
Russell-Ocampo cycler 5.11.1.-3 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.24, TR=1.76, t=[177] d E:6.60, M:7.80 100% no V0 Russell 2005
Russell-Ocampo cycler 5.11.1.-2 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.83, TR=1.09, t=[138] d E:9.50, M:12.50 100% no V0 Russell 2005
Russell-Ocampo cycler 5.11.2.+1 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.14, TR=1.00, t=[101] d E:9.60, M:7.50 100% no V0 Russell 2005
Russell-Ocampo cycler 5.12.1.+2 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.24, TR=1.81, t=[101] d E:8.10, M:8.30 100% no V0 Russell 2005
Russell-Ocampo cycler 5.12.1.+1 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.82, TR=1.07, t=[70] d E:11.50, M:13.20 100% no V0 Russell 2005
Russell-Ocampo cycler 5.13.1.-3 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=0.97, TR=2.69, t=[280] d E:4.30, M:2.30 100% no V0 Russell 2005
Russell-Ocampo cycler 5.13.1.-2 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.49, TR=1.39, t=[153] d E:8.10, M:10.30 100% no V0 Russell 2005
Russell-Ocampo cycler 5.13.2.-1 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.45, TR=1.20, t=[141] d E:5.90, M:9.50 100% no V0 Russell 2005
Russell-Ocampo cycler 5.14.1.+2 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=0.97, TR=3.06, t=[196] d E:5.30, M:2.60 100% no V0 Russell 2005
Russell-Ocampo cycler 5.14.1.+1 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.48, TR=1.41, t=[82] d E:9.80, M:10.90 100% no V0 Russell 2005
Russell-Ocampo cycler 5.14.2.+0 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.43, TR=1.22, t=[105] d E:6.40, M:9.50 100% no V0 Russell 2005
Russell-Ocampo cycler 5.15.1.-2 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.11, TR=2.13, t=[202] d E:5.60, M:5.80 100% no V0 Russell 2005
Russell-Ocampo cycler 5.15.1.-1 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=2.16, TR=0.93, t=[130] d E:10.50, M:13.90 100% no V0 Russell 2005
Russell-Ocampo cycler 5.16.1.+1 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.10, TR=2.37, t=[126] d E:6.80, M:6.00 100% no V0 Russell 2005
Russell-Ocampo cycler 5.16.1.+0 (5-synodic, near-ballistic) Cycler E-M MA 10.68 AR=2.12, TR=0.91, t=[64] d E:12.60, M:14.60 100% no V0 Russell 2005
Russell-Ocampo cycler 5.17.1.-1 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.50, TR=1.37, t=[152] d E:8.10, M:10.40 100% no V0 Russell 2005
Russell-Ocampo cycler 5.18.1.+0 (5-synodic, ballistic) Cycler E-M MA 10.68 AR=1.46, TR=1.45, t=[84] d E:9.60, M:10.60 100% no V0 Russell 2005
Rall 1970 periodic orbit M5-1A (eccentric-inclined, App F) Cycler E-M MA 10.68 t=[107] d E:5.60, M:9.51 60% no V0 Rall 1970
Rall 1970 periodic orbit M5-1B (eccentric-inclined, App F) Cycler E-M MA 10.68 t=[107] d E:6.19, M:9.50 60% no V0 Rall 1970
Rall 1970 periodic orbit M5-1C (eccentric-inclined, App F) Cycler E-M MA 10.68 t=[107] d E:5.18, M:9.54 60% no V0 Rall 1970
Rall 1970 periodic orbit M5-1D (eccentric-inclined, App F) Cycler E-M MA 10.68 t=[107] d E:5.24, M:9.55 60% no V0 Rall 1970
Rall 1970 periodic orbit M5-1E (eccentric-inclined, App F) Cycler E-M MA 10.68 t=[107] d E:6.37, M:9.50 60% no V0 Rall 1970
Rall 1970 periodic orbit M5-2A (eccentric-inclined, App F) Cycler E-M MA 10.68 t=[160] d E:8.37, M:9.78 60% no V0 Rall 1970
Rall 1970 periodic orbit M5-2B (eccentric-inclined, App F) Cycler E-M MA 10.68 t=[160] d E:7.80, M:9.38 60% no V0 Rall 1970
Rall 1970 periodic orbit M5-2C (eccentric-inclined, App F) Cycler E-M MA 10.68 t=[160] d E:5.24, M:9.50 60% no V0 Rall 1970
Rall 1970 periodic orbit M5-2D (eccentric-inclined, App F) Cycler E-M MA 10.68 t=[160] d E:5.33, M:9.55 60% no V0 Rall 1970
Rall 1970 periodic orbit M5-2E (eccentric-inclined, App F) Cycler E-M MA 10.68 t=[160] d E:7.77, M:9.32 60% no V0 Rall 1970
Jones/Hernandez/Jesick VEM triple cyclers (family seed entry) Cycler V-E-M SE 12.80 V:?, E:?, M:? 13% no V0 Jones 2017
Jones 2017 EMEVVE VEM triple cycler (outbound, AAS 17-577 Table 2) Cycler E-M-V MA 12.80 t=[309,259] d E:4.72, M:2.50, E:5.81, V:7.00, V:7.00, E:4.21, M:2.79, E:5.04, V:4.49, V:4.49, E:5.67 86% no V0 Jones 2017
Jones 2017 MEEVEM VEM triple cycler (inbound, AAS 17-577 Table 3) Cycler M-E-V MA 12.80 t=[268,223] d M:3.85, E:3.48, E:3.42, V:5.16, E:3.84, M:3.12, E:2.98, E:2.92, V:4.31, E:4.97, M:2.42 86% no V0 Jones 2017
Russell-Ocampo cycler 6.0.1.+9a (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.92, TR=1.40, t=[213] d E:3.00, M:1.20 100% no V0 Russell 2005
Russell-Ocampo cycler 6.0.1.+8b (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.03, TR=1.22, t=[179] d E:4.00, M:3.90 100% no V0 Russell 2005
Russell-Ocampo cycler 6.0.1.+7c (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.17, TR=1.07, t=[133] d E:5.00, M:6.70 100% no V0 Russell 2005
Russell-Ocampo cycler 6.0.1.+6d (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.34, TR=0.93, t=[111] d E:6.00, M:8.70 100% no V0 Russell 2005
Russell-Ocampo cycler 6.1.2.-4 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.09, TR=0.91, t=[203] d E:4.90, M:5.40 100% no V0 Russell 2005
Russell-Ocampo cycler 6.1.3.-3 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.95, TR=1.30, t=[264] d E:3.10, M:1.70 100% no V0 Russell 2005
Russell-Ocampo cycler 6.1.4.-2 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.07, TR=1.16, t=[197] d E:3.80, M:4.80 100% no V0 Russell 2005
Russell-Ocampo cycler 6.1.6.-1 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.44, TR=0.90, t=[135] d E:5.40, M:9.30 100% no V0 Russell 2005
Russell-Ocampo cycler 6.2.1.+8 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.94, TR=1.26, t=[220] d E:3.30, M:1.70 100% no V0 Russell 2005
Russell-Ocampo cycler 6.2.1.+7 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.08, TR=1.07, t=[158] d E:4.30, M:5.00 100% no V0 Russell 2005
Russell-Ocampo cycler 6.2.1.+6 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.24, TR=0.91, t=[123] d E:5.40, M:7.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.2.2.+3 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.07, TR=1.19, t=[174] d E:3.60, M:4.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.2.2.+2 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.43, TR=0.89, t=[115] d E:5.40, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 6.2.3.+2 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.94, TR=1.39, t=[235] d E:2.60, M:1.50 100% no V0 Russell 2005
Russell-Ocampo cycler 6.2.3.+1 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.43, TR=0.92, t=[119] d E:5.20, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 6.2.4.+1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.07, TR=1.23, t=[181] d E:3.40, M:4.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.2.6.+0 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.43, TR=0.93, t=[123] d E:5.10, M:9.10 100% no V0 Russell 2005
Russell-Ocampo cycler 6.3.1.-9 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.92, TR=0.89, t=[279] d E:5.70, M:1.80 100% no V0 Russell 2005
Russell-Ocampo cycler 6.3.4.+1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.07, TR=1.04, t=[156] d E:4.50, M:5.00 100% no V0 Russell 2005
Russell-Ocampo cycler 6.4.1.+7 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.98, TR=1.59, t=[227] d E:3.60, M:2.40 100% no V0 Russell 2005
Russell-Ocampo cycler 6.4.1.+6 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.13, TR=1.33, t=[142] d E:4.70, M:6.00 100% no V0 Russell 2005
Russell-Ocampo cycler 6.4.1.+5 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.33, TR=1.11, t=[113] d E:5.90, M:8.50 100% no V0 Russell 2005
Russell-Ocampo cycler 6.4.1.+4 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.58, TR=0.93, t=[96] d E:7.00, M:10.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.5.1.-8 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.95, TR=1.62, t=[283] d E:6.20, M:2.40 100% no V0 Russell 2005
Russell-Ocampo cycler 6.5.1.-7 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.11, TR=1.16, t=[213] d E:8.40, M:6.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.5.1.-6 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.31, TR=0.88, t=[180] d E:10.40, M:9.80 100% no V0 Russell 2005
Russell-Ocampo cycler 6.5.5.-1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.44, TR=1.15, t=[137] d E:5.50, M:9.30 100% no V0 Russell 2005
Russell-Ocampo cycler 6.6.1.+6 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.02, TR=1.82, t=[189] d E:3.90, M:3.50 100% no V0 Russell 2005
Russell-Ocampo cycler 6.6.1.+5 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.20, TR=1.48, t=[128] d E:5.20, M:7.10 100% no V0 Russell 2005
Russell-Ocampo cycler 6.6.1.+4 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.45, TR=1.21, t=[104] d E:6.40, M:9.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.6.1.+3 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.78, TR=0.99, t=[89] d E:7.70, M:11.70 100% no V0 Russell 2005
Russell-Ocampo cycler 6.6.2.+2 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.19, TR=1.38, t=[141] d E:4.30, M:6.80 100% no V0 Russell 2005
Russell-Ocampo cycler 6.6.2.+1 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.77, TR=0.96, t=[99] d E:6.60, M:11.30 100% no V0 Russell 2005
Russell-Ocampo cycler 6.6.5.+0 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.43, TR=1.03, t=[122] d E:5.10, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 6.7.1.-7 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.98, TR=1.49, t=[289] d E:6.70, M:3.10 100% no V0 Russell 2005
Russell-Ocampo cycler 6.7.1.-6 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.17, TR=1.05, t=[199] d E:9.10, M:7.80 100% no V0 Russell 2005
Russell-Ocampo cycler 6.7.2.+3 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.91, TR=0.98, t=[176] d E:5.10, M:1.50 100% no V0 Russell 2005
Russell-Ocampo cycler 6.7.3.-2 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.08, TR=1.40, t=[199] d E:4.10, M:5.00 100% no V0 Russell 2005
Russell-Ocampo cycler 6.7.5.+0 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.43, TR=0.99, t=[107] d E:6.10, M:9.40 100% no V0 Russell 2005
Russell-Ocampo cycler 6.8.1.+6 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.91, TR=2.39, t=[211] d E:2.90, M:1.00 100% no V0 Russell 2005
Russell-Ocampo cycler 6.8.1.+5 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.08, TR=1.89, t=[158] d E:4.30, M:5.00 100% no V0 Russell 2005
Russell-Ocampo cycler 6.8.1.+4 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.30, TR=1.50, t=[116] d E:5.70, M:8.30 100% no V0 Russell 2005
Russell-Ocampo cycler 6.8.1.+3 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.62, TR=1.18, t=[95] d E:7.20, M:10.80 100% no V0 Russell 2005
Russell-Ocampo cycler 6.8.1.+2 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=2.09, TR=0.94, t=[81] d E:8.60, M:13.10 100% no V0 Russell 2005
Russell-Ocampo cycler 6.8.3.+1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.07, TR=1.47, t=[179] d E:3.40, M:4.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.9.1.-6 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.03, TR=1.97, t=[248] d E:7.30, M:4.50 100% no V0 Russell 2005
Russell-Ocampo cycler 6.9.1.-5 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.26, TR=1.35, t=[186] d E:10.00, M:9.10 100% no V0 Russell 2005
Russell-Ocampo cycler 6.9.1.-4 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.57, TR=0.98, t=[161] d E:12.40, M:12.40 100% no V0 Russell 2005
Russell-Ocampo cycler 6.9.2.-3 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.96, TR=1.61, t=[274] d E:3.80, M:2.00 100% no V0 Russell 2005
Russell-Ocampo cycler 6.9.2.-2 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.47, TR=0.94, t=[150] d E:7.20, M:10.00 100% no V0 Russell 2005
Russell-Ocampo cycler 6.9.4.-1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.45, TR=1.21, t=[139] d E:5.70, M:9.40 100% no V0 Russell 2005
Russell-Ocampo cycler 6.10.1.+5 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.94, TR=2.31, t=[219] d E:3.30, M:1.70 100% no V0 Russell 2005
Russell-Ocampo cycler 6.10.1.+4 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.15, TR=1.76, t=[137] d E:4.90, M:6.40 100% no V0 Russell 2005
Russell-Ocampo cycler 6.10.1.+3 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.44, TR=1.34, t=[104] d E:6.40, M:9.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.10.1.+2 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.89, TR=1.02, t=[86] d E:8.10, M:12.20 100% no V0 Russell 2005
Russell-Ocampo cycler 6.10.2.+2 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.94, TR=1.84, t=[231] d E:2.70, M:1.50 100% no V0 Russell 2005
Russell-Ocampo cycler 6.10.2.+1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.43, TR=1.17, t=[115] d E:5.40, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 6.10.4.+0 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.43, TR=1.06, t=[121] d E:5.20, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 6.11.1.-5 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.09, TR=1.75, t=[219] d E:8.20, M:6.20 100% no V0 Russell 2005
Russell-Ocampo cycler 6.11.1.-4 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.38, TR=1.17, t=[173] d E:11.00, M:10.70 100% no V0 Russell 2005
Russell-Ocampo cycler 6.11.2.+2 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.98, TR=1.61, t=[191] d E:6.10, M:2.90 100% no V0 Russell 2005
Russell-Ocampo cycler 6.12.1.+4 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.00, TR=2.14, t=[232] d E:3.70, M:2.70 100% no V0 Russell 2005
Russell-Ocampo cycler 6.12.1.+3 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.26, TR=1.57, t=[120] d E:5.50, M:7.80 100% no V0 Russell 2005
Russell-Ocampo cycler 6.12.1.+2 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.67, TR=1.15, t=[92] d E:7.40, M:11.10 100% no V0 Russell 2005
Russell-Ocampo cycler 6.13.1.+5 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.08, TR=0.94, t=[79] d E:16.70, M:9.70 100% no V0 Russell 2005
Russell-Ocampo cycler 6.13.1.-5 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.90, TR=3.44, t=[276] d E:5.40, M:1.50 100% no V0 Russell 2005
Russell-Ocampo cycler 6.13.1.-4 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.18, TR=1.92, t=[198] d E:9.20, M:7.90 100% no V0 Russell 2005
Russell-Ocampo cycler 6.13.1.-3 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.58, TR=1.21, t=[160] d E:12.40, M:12.50 100% no V0 Russell 2005
Russell-Ocampo cycler 6.13.2.-2 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.10, TR=1.65, t=[202] d E:5.00, M:5.40 100% no V0 Russell 2005
Russell-Ocampo cycler 6.13.3.-1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.46, TR=1.06, t=[143] d E:6.10, M:9.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.14.1.+3 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.08, TR=1.93, t=[158] d E:4.30, M:4.90 100% no V0 Russell 2005
Russell-Ocampo cycler 6.14.1.+2 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.44, TR=1.34, t=[104] d E:6.40, M:9.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.14.1.+1 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=2.09, TR=0.94, t=[81] d E:8.60, M:13.10 100% no V0 Russell 2005
Russell-Ocampo cycler 6.14.2.+1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.07, TR=1.59, t=[175] d E:3.60, M:4.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.14.2.+0 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=2.08, TR=0.85, t=[91] d E:7.40, M:12.70 100% no V0 Russell 2005
Russell-Ocampo cycler 6.14.3.+0 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.43, TR=1.10, t=[119] d E:5.20, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 6.15.1.+4 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.11, TR=0.90, t=[74] d E:17.20, M:10.40 100% no V0 Russell 2005
Russell-Ocampo cycler 6.15.1.-4 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.95, TR=3.00, t=[285] d E:6.30, M:2.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.15.1.-3 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.32, TR=1.57, t=[179] d E:10.50, M:10.00 100% no V0 Russell 2005
Russell-Ocampo cycler 6.15.1.-2 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.94, TR=0.94, t=[147] d E:14.30, M:14.80 100% no V0 Russell 2005
Russell-Ocampo cycler 6.15.2.+1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.11, TR=1.27, t=[117] d E:7.70, M:6.40 100% no V0 Russell 2005
Russell-Ocampo cycler 6.16.1.+2 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.20, TR=1.67, t=[128] d E:5.20, M:7.10 100% no V0 Russell 2005
Russell-Ocampo cycler 6.16.1.+1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.78, TR=1.08, t=[89] d E:7.70, M:11.70 100% no V0 Russell 2005
Russell-Ocampo cycler 6.17.1.+3 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.14, TR=1.06, t=[69] d E:17.90, M:11.30 100% no V0 Russell 2005
Russell-Ocampo cycler 6.17.1.-3 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.04, TR=2.91, t=[241] d E:7.50, M:4.80 100% no V0 Russell 2005
Russell-Ocampo cycler 6.17.1.-2 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.59, TR=1.24, t=[160] d E:12.50, M:12.60 100% no V0 Russell 2005
Russell-Ocampo cycler 6.17.2.-1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.48, TR=1.30, t=[149] d E:7.30, M:10.10 100% no V0 Russell 2005
Russell-Ocampo cycler 6.18.1.+2 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.94, TR=2.32, t=[219] d E:3.30, M:1.70 100% no V0 Russell 2005
Russell-Ocampo cycler 6.18.1.+1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.44, TR=1.34, t=[104] d E:6.40, M:9.50 100% no V0 Russell 2005
Russell-Ocampo cycler 6.18.2.+0 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.43, TR=1.17, t=[116] d E:5.40, M:9.20 100% no V0 Russell 2005
Russell-Ocampo cycler 6.19.1.+2 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=1.19, TR=0.97, t=[64] d E:18.80, M:12.50 100% no V0 Russell 2005
Russell-Ocampo cycler 6.19.1.-2 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.20, TR=2.09, t=[195] d E:9.40, M:8.20 100% no V0 Russell 2005
Russell-Ocampo cycler 6.19.2.+0 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.47, TR=1.18, t=[79] d E:10.60, M:11.10 100% no V0 Russell 2005
Russell-Ocampo cycler 6.20.1.-4 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=0.93, TR=1.09, t=[183] d E:12.80, M:5.00 100% no V0 Russell 2005
Russell-Ocampo cycler 6.20.1.+1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.07, TR=1.94, t=[160] d E:4.30, M:4.90 100% no V0 Russell 2005
Russell-Ocampo cycler 6.20.1.+0 (6-synodic, near-ballistic) Cycler E-M MA 12.81 AR=2.08, TR=0.94, t=[81] d E:8.60, M:13.00 100% no V0 Russell 2005
Russell-Ocampo cycler 6.21.1.+1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.29, TR=1.01, t=[57] d E:20.30, M:14.40 100% no V0 Russell 2005
Russell-Ocampo cycler 6.21.1.-1 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.63, TR=1.19, t=[158] d E:12.70, M:12.90 100% no V0 Russell 2005
Russell-Ocampo cycler 6.22.1.+0 (6-synodic, ballistic) Cycler E-M MA 12.81 AR=1.43, TR=1.35, t=[105] d E:6.40, M:9.50 100% no V0 Russell 2005
Rall 1970 periodic orbit M6-1 (circular-coplanar, App E) Cycler E-M MA 12.81 t=[118] d E:5.36, M:9.38, E:6.07 67% no V0 Rall 1970
Rall 1970 periodic orbit M6-2 (circular-coplanar, App E) Cycler E-M MA 12.81 t=[157] d E:7.06, M:9.35, E:5.51 67% no V0 Rall 1970
Rall 1970 periodic orbit M6-3 (circular-coplanar, App E) Cycler E-M MA 12.81 t=[123] d E:5.21, M:9.38, E:6.01 67% no V0 Rall 1970
Niehoff VISIT-1 Earth-Mars cycler Cycler E-M SE 14.95 a=1.17 AU, e=0.193 E:?, M:? 71% no V0 Niehoff 1985
Niehoff VISIT-2 Earth-Mars cycler Cycler E-M SE 14.95 a=1.31 AU, e=0.275 E:?, M:? 71% no V0 Niehoff 1985
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 1 Cycler E-V SE 16.00 E:5.75, V:6.70 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 2 Cycler E-V SE 16.00 E:4.80, V:7.68 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 3 Cycler E-V SE 16.00 E:6.43, V:7.39 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 4 Cycler E-V SE 16.00 E:6.05, V:8.40 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 5 Cycler E-V SE 16.00 E:5.15, V:5.60 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 6 Cycler E-V SE 16.00 E:6.23, V:9.00 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 7 Cycler E-V SE 16.00 E:5.51, V:6.67 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 8 Cycler E-V SE 16.00 E:6.43, V:6.49 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 9 Cycler E-V SE 16.00 E:4.41, V:8.28 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 10 Cycler E-V SE 16.00 E:4.50, V:8.04 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 11 Cycler E-V SE 16.00 E:4.50, V:8.04 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 12 Cycler E-V SE 16.00 E:4.50, V:8.13 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 13 Cycler E-V SE 16.00 E:5.36, V:7.45 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 14 Cycler E-V SE 16.00 E:5.45, V:7.60 43% no V0 Hollister 1970
Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 15 Cycler E-V SE 16.00 E:5.63, V:8.37 43% no V0 Hollister 1970
Arenstorf periodic Earth-Moon free-return orbit (CR3BP) Cycler E-Moon NK figure-8 E:?, Moon:? 0% no V0 Arenstorf 1963
Genova/Aldrin free-return Earth-Moon cycler (interplanetary cruise ship, 3:1 lunar resonant) Cycler E-Moon NK 3:1-lunar-resonance E:?, Moon:? 0% no V0 Genova 2015
Wittal/Miaule/Asher Earth-Moon cycler family for lunar logistics (family seed) Cycler E-Moon NK E:?, Moon:? 0% no V0 Wittal 2022
Hernandez/Jones/Jesick Io-Europa-Ganymede triple cyclers (Jovian family seed) Cycler Io-Europa-Ganymede MA Io:?, Europa:?, Ganymede:? 0% no V0 Hernandez 2017
Russell/Strange Jovian moon cycler family (family seed) Cycler Io-Europa-Ganymede-Callisto MA Io:?, Europa:?, Ganymede:?, Callisto:? 0% no V0 Russell 2009
Russell/Strange Saturnian moon cycler family (family seed, Titan-Enceladus focus) Cycler Mimas-Enceladus-Tethys-Dione-Rhea-Titan NK Titan:?, Enceladus:? 0% no V0 Russell 2009
McConaghy 2005 dissertation SnLm Earth-Mars broad-class cycler family seed Cycler E-M SE E:?, M:? 0% no V0 McConaghy 2005
Russell 2004 dissertation Chapter 4 ballistic and near-ballistic Earth-Mars cycler tables (broad-class family) Cycler E-M SE 0% no V0 Russell 2003
Ross/Roberts-Tsoukkas stable Earth-Moon (1,1) prograde cycler (CR3BP) Cycler E-Moon NK (1,1) prograde Earth-Moon cycler, C=3.1512, T=10.2921, s=-0.003 E:?, Moon:? 50% no V2 Ross 2025
Ross/Roberts-Tsoukkas stable Earth-Moon (2,1) prograde cycler (CR3BP) Cycler E-Moon NK (2,1) prograde Earth-Moon cycler, C=3.1294, T=19.4404, s=0.050 E:?, Moon:? 50% no V2 Ross 2025
Computed 3D out-of-plane (2,1) Earth-Moon resonant periodic orbit — spatial extension of ross-rt-em-cycler-21-2025 (CR3BP, KNOWN-CLASS member of the Antoniadou-Libert spatial-resonant family; libration-class, NO transport utility per Region B) Resonant PO E-Moon NK (2,1) prograde Earth-Moon cycler, 3D out-of-plane spatial extension (winding k1=2, k2=0, k_z=10), C=3.0258, T=18.1672, s=0.000 E:?, Moon:? 50% no V2 known-class
Ross/Roberts-Tsoukkas stable Earth-Moon (3,1) prograde cycler (CR3BP) Cycler E-Moon NK (3,1) prograde Earth-Moon cycler, C=3.1618, T=14.7885, s=0.015 E:?, Moon:? 50% no V2 Ross 2025
Ross/Roberts-Tsoukkas stable Earth-Moon (3,2) prograde cycler (CR3BP) Cycler E-Moon NK (3,2) prograde Earth-Moon cycler, C=3.1828, T=17.9006, s=-0.012 E:?, Moon:? 50% no V2 Ross 2025
Ross/Roberts-Tsoukkas stable Earth-Moon (3,3) prograde cycler (CR3BP) Cycler E-Moon NK (3,3) prograde Earth-Moon cycler, C=3.1772, T=18.1455, s=0.060 E:?, Moon:? 50% no V2 Ross 2025
Braik-Ross common-energy (1,1)a Earth-Moon cycler (CR3BP, C=3.1294) Cycler E-Moon NK (1,1) prograde Earth-Moon cycler — short-period branch (C11a), C=3.1294, T=9.6911, s=12902.660 E:?, Moon:? 50% no V1 Braik 2026
Braik-Ross common-energy (1,1)b Earth-Moon cycler (CR3BP, C=3.1294) Cycler E-Moon NK (1,1) prograde Earth-Moon cycler — long-period branch (C11b), C=3.1294, T=12.8690, s=3.244 E:?, Moon:? 50% no V1 Braik 2026
Braik-Ross common-energy (3,2) Earth-Moon cycler (CR3BP, C=3.1294) Cycler E-Moon NK (3,2) prograde Earth-Moon cycler, C=3.1294, T=18.0786, s=126565.000 E:?, Moon:? 50% no V1 Braik 2026
Liang et al. CGE triple cycler — Member A (1-1-1, high perijove, idealized) Cycler Callisto-Ganymede-Europa MA t=[32,18,30,20] d Callisto:5.67, Ganymede:6.99, Europa:4.67 50% no V1 Liang 2024
Liang et al. CGE triple cycler — Member B (1-1-0, high perijove, idealized) Cycler Callisto-Ganymede-Europa MA t=[32,18,30,20] d Callisto:5.67, Ganymede:6.99, Europa:4.49 50% no V1 Liang 2024
Liang et al. CGE triple cycler — Member C (1-1-1, low perijove, idealized) Cycler Callisto-Ganymede-Europa MA t=[32,18,31,19] d Callisto:7.64, Ganymede:10.49, Europa:12.02 50% no V1 Liang 2024
Liang et al. CGE triple cycler — Member D (SPICE-ephemeris, JUP365.bsp) Cycler Callisto-Ganymede-Europa MA Callisto:?, Ganymede:?, Europa:? Strictly ballistic 0% no V0 Liang 2024
Tito 2018 manned Mars free-return (one-window E-M-E ballistic flyby) Tour E-M MA E:6.23, M:5.42, E:8.84 1 2018-01-05 → 2019-05-21 50% no V0 Tito 2013
Heaton-Longuski 2003 Uranian satellite tour U00-01 (Galileo-style) Tour E-J-U-Titania-Oberon-Ariel-Umbriel MA E:9.80, J:11.11, U:6.44, Titania:3.27, Titania:3.27, Titania:3.27, Titania:3.27, Titania:3.28, Titania:3.28, Titania:3.29, Titania:3.30, Titania:3.30, Oberon:2.98, Ariel:3.04, Ariel:3.04, Titania:3.18, Umbriel:3.64, Oberon:2.60, Ariel:2.99, Ariel:2.99, Ariel:2.99, Oberon:2.13, Ariel:2.00, Ariel:1.87, Ariel:1.86, Oberon:2.10, Umbriel:1.97, Umbriel:1.97, Oberon:1.78, Umbriel:1.20, Titania:1.93, Oberon:1.44, Titania:1.72, Umbriel:1.29, Umbriel:1.29, Titania:1.30, Titania:1.04, Titania:1.04, Titania:1.04, Umbriel:1.61, Umbriel:1.61, Umbriel:1.61, Ariel:0.92 1 2008-03-19 → 2021-07-20 93% no V0 Heaton 2003
Umbriel-Oberon-Umbriel (1,1) Uranian near-5:1 synodic-resonance quasi-cycler Discovered here Quasi-cycler Uranus-Umbriel-Oberon MA t=[15,15] d Umbriel:0.92, Oberon:0.96, Umbriel:0.89 10 2000-06-21 → 2083-06-21 50% no V4 cyclerfinder discovery campaign 2026
Titania-Oberon-Titania (1,1) Uranian symmetric-closure quasi-cycler Discovered here Quasi-cycler Uranus-Titania-Oberon MA t=[12,12] d Titania:2.16, Oberon:1.97, Titania:2.16 10 2000-06-21 → 2083-06-21 50% no V4 cyclerfinder discovery campaign 2026
Ariel-Oberon-Ariel (1,1) Uranian symmetric-closure quasi-cycler Discovered here Quasi-cycler Uranus-Ariel-Oberon MA t=[8,8] d Ariel:1.52, Oberon:1.83, Ariel:1.52 10 2000-06-21 → 2083-06-21 50% no V4 cyclerfinder discovery campaign 2026
Umbriel-Titania-Umbriel (1,1) Uranian symmetric-closure quasi-cycler Discovered here Quasi-cycler Uranus-Umbriel-Titania MA t=[4,4] d Umbriel:1.23, Titania:1.01, Umbriel:1.23 10 2000-06-21 → 2083-06-21 50% no V4 cyclerfinder discovery campaign 2026
Ariel-Titania-Ariel (1,1) Uranian symmetric-closure quasi-cycler Discovered here Quasi-cycler Uranus-Ariel-Titania MA t=[5,5] d Ariel:1.23, Titania:1.72, Ariel:1.23 10 2000-06-21 → 2083-06-21 50% no V4 cyclerfinder discovery campaign 2026
Ariel-Umbriel-Ariel (1,1) Uranian symmetric-closure quasi-cycler Discovered here Quasi-cycler Uranus-Ariel-Umbriel MA t=[3,3] d Ariel:0.98, Umbriel:1.30, Ariel:0.98 10 2000-06-21 → 2083-06-21 50% no V4 cyclerfinder discovery campaign 2026
Galileo VEEGA flown trajectory (D'Amario-Bright-Wolf 1992) Tour E-V-E-Gaspra-E-Ida-J MA E:3.80, V:6.20, E:8.90, Gaspra:8.00, E:8.90, Ida:12.40, J:5.90 1 1989-10-18 → 1995-12-08 70% no V0 D'Amario 1992
Voyager 1 Jupiter-Saturn gravity-assist tour (MJS77 JST), SPK-derived V_inf Tour E-J-S MA J:10.77, S:15.17 1 1977-09-05 → 1980-11-12 40% no V0 Kohlhase 1977
Voyager 2 Grand Tour E-J-S-U-N (MJS77/JSX), SPK-derived V_inf Tour E-J-S-U-N MA J:7.64, S:10.67, U:14.73, N:16.74 1 1977-08-20 → 1989-08-25 57% no V0 Kohlhase 1977
Pioneer 10 Jupiter flyby (first Jupiter encounter), SPK-derived V_inf Tour E-J MA J:8.52 1 1972-03-03 → 1973-12-04 25% no V0 NASA Science 2024
Pioneer 11 Jupiter-Saturn gravity-assist tour (first Saturn encounter), SPK-derived V_inf Tour E-J-S MA J:8.93, S:8.36 1 1973-04-06 → 1979-09-01 40% no V0 NASA Science 2024
Cassini-Huygens VVEJGA cruise to Saturn, SPK-derived cruise V_inf Tour E-V-V-E-J-S MA V:6.01, V:9.45, E:16.05, J:10.43 1 1997-10-15 → 2004-07-01 57% no V0 ESA / NASA Cassini-Huygens 2004
Juno Earth-gravity-assist cruise to Jupiter, SPK-derived V_inf Tour E-E-J MA E:10.40 1 2011-08-05 → 2016-07-05 25% no V0 NASA NSSDCA 2011
Mariner 10 Venus-Mercury gravity-assist tour (Mercury-I SPK-derived V_inf) Tour E-V-Me-Me-Me MA Me:10.38 1 1973-11-03 → 1975-03-16 25% no V0 Giberson 1975
BepiColombo Earth-Venus-Mercury gravity-assist cruise, SPK-derived V_inf Tour E-E-V-V-Me-Me-Me-Me-Me-Me MA E:3.99, V:7.98, V:8.02, Me:6.66, Me:6.42, Me:3.64, Me:2.75, Me:2.61, Me:1.89 1 2018-10-20 → 2025-01-08 75% no V0 ESA BepiColombo 2025
Cassini Titan Tour Tour Titan MA t=[16] d 1 0% no V0 derived
Russell 2006 cycler 3.768Gh-3 (no. 54) Cycler E-M MA Strictly ballistic 0% no V0 Russell 2006
Russell 2006 cycler 3.768Gh+3 (no. 55) Cycler E-M MA Strictly ballistic 0% no V0 Russell 2006
Russell 2006 cycler 5.219Ggh-3 (no. 111) Cycler E-M MA Strictly ballistic 0% no V0 Russell 2006
Russell 2006 cycler 5.219Ggh+3 (no. 112) Cycler E-M MA Strictly ballistic 0% no V0 Russell 2006
Russell 2006 cycler 5.225Ggg3 (no. 117) Cycler E-M MA Strictly ballistic 0% no V0 Russell 2006
Russell 2006 cycler 5.751Ggf3 (no. 177) Cycler E-M MA Essentially ballistic 0% no V0 Russell 2006
Russell 2006 cycler 5.751ggF3 (no. 178) Cycler E-M MA Strictly ballistic 0% no V0 Russell 2006
Russell-Strange Europa-Ganymede ideal-model ballistic moon cycler no. 131 (Table 3; 2-leg) Cycler Europa-Ganymede MA Europa:2.40, Ganymede:4.10 40% no V0 R. P. Russell 2009
Russell-Strange Europa-Ganymede ideal-model ballistic moon cycler no. 159 (Table 3; 3-leg) Cycler Europa-Ganymede MA Europa:2.45, Ganymede:4.11 40% no V0 R. P. Russell 2009
Russell-Strange Ganymede-Callisto ideal-model ballistic moon cycler no. 1 (Table 3; 3-leg) Cycler Ganymede-Callisto MA Ganymede:3.18, Callisto:3.26 40% no V0 R. P. Russell 2009
Russell-Strange Ganymede-Callisto ideal-model ballistic moon cycler no. 5 (Table 3; 2-leg) Cycler Ganymede-Callisto MA Ganymede:3.24, Callisto:3.34 40% no V0 R. P. Russell 2009
Russell-Strange Ganymede-Europa ideal-model ballistic moon cycler no. 5 (Table 3; 1-leg) Cycler Ganymede-Europa MA Ganymede:1.66, Europa:2.57 40% no V0 R. P. Russell 2009
Russell-Strange Ganymede-Europa ideal-model ballistic moon cycler no. 43 (Table 3; 1-leg) Cycler Ganymede-Europa MA Ganymede:1.87, Europa:3.89 40% no V0 R. P. Russell 2009
Russell-Strange Ganymede-Europa ideal-model ballistic moon cycler no. 316 (Table 3; 4-leg) Cycler Ganymede-Europa MA Ganymede:3.20, Europa:3.81 40% no V0 R. P. Russell 2009
Russell-Strange Ganymede-Io ideal-model ballistic moon cycler no. 53 (Table 3; 2-leg) Cycler Ganymede-Io MA Ganymede:3.90, Io:3.90 40% no V0 R. P. Russell 2009
Russell-Strange Ganymede-Io ideal-model ballistic moon cycler no. 185 (Table 3; 6-leg) Cycler Ganymede-Io MA Ganymede:3.97, Io:9.90 40% no V0 R. P. Russell 2009
Russell-Strange Ganymede-Io ideal-model ballistic moon cycler no. 403 (Table 3; 2-leg) Cycler Ganymede-Io MA Ganymede:4.29, Io:4.34 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 37 (Table 4; 2-leg) Cycler Titan-Enceladus MA Titan:2.50, Enceladus:5.17 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 145 (Table 4; 3-leg) Cycler Titan-Enceladus MA Titan:2.78, Enceladus:7.33 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 183 (Table 4; 3-leg) Cycler Titan-Enceladus MA Titan:2.98, Enceladus:4.66 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 207 (Table 4; 4-leg) Cycler Titan-Enceladus MA Titan:3.03, Enceladus:5.08 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 217 (Table 4; 4-leg) Cycler Titan-Enceladus MA Titan:3.03, Enceladus:5.08 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 227 (Table 4; 3-leg) Cycler Titan-Enceladus MA Titan:3.17, Enceladus:5.98 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 231 (Table 4; 4-leg) Cycler Titan-Enceladus MA Titan:3.18, Enceladus:6.04 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 235 (Table 4; 5-leg) Cycler Titan-Enceladus MA Titan:3.18, Enceladus:6.04 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 314 (Table 4; 2-leg) Cycler Titan-Enceladus MA Titan:3.59, Enceladus:6.88 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 370 (Table 4; 3-leg) Cycler Titan-Enceladus MA Titan:3.69, Enceladus:4.15 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 492 (Table 4; 4-leg) Cycler Titan-Enceladus MA Titan:4.63, Enceladus:5.61 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 510 (Table 4; 2-leg) Cycler Titan-Enceladus MA Titan:5.03, Enceladus:7.27 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 539 (Table 4; 4-leg) Cycler Titan-Enceladus MA Titan:5.14, Enceladus:8.08 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 552 (Table 4; 2-leg) Cycler Titan-Enceladus MA Titan:5.16, Enceladus:7.69 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 572 (Table 4; 3-leg) Cycler Titan-Enceladus MA Titan:5.28, Enceladus:4.69 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 586 (Table 4; 2-leg) Cycler Titan-Enceladus MA Titan:5.43, Enceladus:6.68 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 594 (Table 4; 3-leg) Cycler Titan-Enceladus MA Titan:5.55, Enceladus:5.76 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 602 (Table 4; 4-leg) Cycler Titan-Enceladus MA Titan:5.55, Enceladus:5.76 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 624 (Table 4; 3-leg) Cycler Titan-Enceladus MA Titan:5.79, Enceladus:7.97 40% no V0 R. P. Russell 2009
Russell-Strange Titan-Enceladus ideal-model ballistic cycler no. 631 (Table 4; 3-leg) Cycler Titan-Enceladus MA Titan:5.91, Enceladus:7.49 40% no V0 R. P. Russell 2009
Lynam-Longuski single-period Laplace-resonant Io-Europa-Ganymede triple cycler Cycler Io-Europa-Ganymede MA 0% no V0 A. E. Lynam 2011
Lynam-Longuski indefinitely-repeatable GIPEIPE Io-Europa-Ganymede triple cycler Cycler Io-Europa-Ganymede MA 0% no V0 A. E. Lynam 2011
Ross/Roberts-Tsoukkas 2026 abstract-mu=0.001 (1,1) prograde CR3BP cycler — Table I representative Cycler P1-P2 NK (1,1) prograde CR3BP cycler (mu=0.001), C=3.0316, T=14.7745, s=0.412 P1:?, P2:? 50% no V1 Ross 2026
Ross/Roberts-Tsoukkas 2026 abstract-mu=0.1 (3,2) prograde CR3BP cycler — Table I representative Cycler P1-P2 NK (3,2) prograde CR3BP cycler (mu=0.1), C=3.5734, T=12.2953, s=0.569 P1:?, P2:? 50% no V1 Ross 2026
Ross/Roberts-Tsoukkas 2026 abstract-mu=0.3 (3,1) prograde CR3BP cycler — Table I representative Cycler P1-P2 NK (3,1) prograde CR3BP cycler (mu=0.3), C=3.7020, T=9.0946, s=0.029 P1:?, P2:? 50% no V1 Ross 2026
Ross/Roberts-Tsoukkas 2026 abstract-mu=0.5 (1,1) prograde CR3BP cycler — Table I representative Cycler P1-P2 NK (1,1) prograde CR3BP cycler (mu=0.5), C=3.6284, T=8.7920, s=0.938 P1:?, P2:? 50% no V1 Ross 2026
Computed Pluto-Charon stable (3,2) prograde CR3BP cycler (known-class member, Ross-RT 2026 mu=0.1 family) Cycler Pluto-Charon NK (3,2) prograde CR3BP cycler (Pluto-Charon, mu=0.10876473603280369), C=3.5795, T=11.8335, s=0.000 Pluto:?, Charon:? 50% no V2 known-class Ross 2026

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