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Wittal/Miaule/Asher Earth-Moon cycler family for lunar logistics (family seed)

wittal-2022-em-cycler-family · source: literature · validation: V0

Signature

Bodies
E-Moon
Primary
Earth
Sequence (canonical)
E-Moon
Sense
n/a
Orbit class
Cycler
strict cycler (infinite returns)
Cycler class
non-keplerian (CR3BP)
Trajectory regime
ballistic
Maintenance ΔV band
unclassified
Model assumption
analytic-ephemeris
Mid-fidelity: real eccentricity / inclination retained; not full N-body.
Period
— yr ( × E-Moon synodic)
The paper studies a "petal" cycler family set in lunar resonance at lunar-relative inclination near 90 deg, with no single period for the family. Per-family cadence (full text, mining note §2): the 2-petal cycler orbits twice per lunar sidereal period (27.3 d), period "approximately 27 +/- 3 days" (Sec. 5, p. 4 — approximate, consistent with an ephemeris-class simulation, not an exact CR3BP period); the 5-petal has a lunar flyby once every 53 d and same-pole access every 163 d (Sec. 2.3, p. 2). years: null (Earth-Moon bound orbit, not a heliocentric-synodic cycler).
Priority date
2022-09-18

V∞ at encounters

E (encounter 1)
— (not published)
V_inf is n/a: these are BOUND Earth-Moon petal cycler orbits, not hyperbolic-encounter cyclers (mining note §5). Recorded n/a rather than not-extracted.
Moon (encounter 2)
— (not published)
Same — n/a for a bound Earth-Moon orbit.

CR3BP orbit identity

Mass ratio (μ)
0.01215
Jacobi constant
Period (non-dim)
Stability index

Lunar-relative inclination near 90 deg is the family's primary distinguishing parameter (abstract; Conclusions, p. 5), but no single (a, e, peri, apo) characterises the set. Specific full-text geometry: 2-petal at 20,000 km perilune has Earth-relative inclination ~28.5 deg (KSC latitude); the 5-petal high-inclination variant at 10,000 km perilune reaches perigee altitudes as low as 600 km at Earth inclination 80.5 deg (Sec. 3, p. 3).

Orbit view 2.5D ecliptic projection

Not renderable from current data. This is a rotating-frame (CR3BP) periodic orbit. A faithful render requires numerical propagation of the synodic-frame state, which the catalogue does not yet publish as a sampled path — so no stand-in ellipse is drawn (drawing a heliocentric ellipse here would misrepresent the dynamics). The CR3BP identity (Jacobi constant, period, stability) is tabulated above.

model: spacecraft: analytic-ephemeris (real e/i retained)

3D view not available for rotating-frame (CR3BP) orbits.

Definition status

incomplete — core fields missing or known-unknowns tracked below

Known-unknowns (4)

Values we expect to exist but have not yet filled (distinct from "not applicable"). Tracked per upstream docs/spec.md §16.6.4.

Primary citation

Wittal, M. M. et al. (2022). Earth-Moon Cycler Mission Design for Lunar Logistics. 73rd International Astronautical Congress (IAC), Paris, France, September 18-22, 2022, paper IAC-22-C1.6.6.

URL: https://ntrs.nasa.gov/citations/20220013595

NTRS document ID 20220013595, paper IAC-22-C1.6.6. Authors are at Kennedy Space Center (Wittal), Deep Space Logistics (Miaule), and Aegis Aerospace (Asher). PROVENANCE: this row was originally ingested from the NTRS landing-page ABSTRACT only; enriched 2026-06-12 from the FULL IAC-22-C1.6.6 PDF (mining note docs/notes/2026-06-11-wittal-2022-iac-mining.md). The earlier "full IAC PDF was not accessible" note is now obsolete.

Corroborating sources

Notes

Family-seed entry, enriched from the FULL IAC-22-C1.6.6 text. The paper applies cycler mechanics to lunar logistics (cargo/crew resupply between Earth, the Gateway, and the lunar South Pole) by removing the need for large rockets in favour of "more frequent but smaller missions". The families are near-polar "petal" cyclers in lunar resonance, explored at lunar-relative inclination near 90 deg. PETAL TAXONOMY (full text, mining note §2): - 2-petal (Sec. 2.1): orbits twice per lunar sidereal period (27.3 d); the MOST STABLE family; period "~27 +/- 3 days" (Sec. 5, p. 4). - 3-petal (Sec. 2.2 / Sec. 5): good NRHO/south-pole access but UNSTABLE EVERYWHERE — collapses readily into a 2-petal (or, less often, 5-petal) form; periapsis ~200,000 km, inclination < 35 deg; expensive to maintain in any configuration. - 5-petal (Sec. 2.3): lunar flyby every 53 d, same-pole access every 163 d; examined over perilune 7,500-15,000 km; greatest accessibility flexibility but highly variable inclination. - NEGATIVES: no stable 4-petal meeting the period+inclination requirement was found; > 5 petals considered infeasible (long periods). (Sec. 2.) 2-PETAL STABILITY DOMAIN (Sec. 5): "relatively stable and periodic so long as the perilune passage was greater than 7500 km and less than ~15,000 km in the +/- z direction"; perilune < 7,500 km destabilises (pushed into the 2-petal formation or a non-resonant orbit); at 20,000 km perilune the lunar gravity is insufficient to maintain high lunar inclination. Perilune passes alternate N/S poles, so a given pole is reachable every other cycle (Sec. 4). MAINTENANCE: lifetime station-keeping dV over 5 cycles is < 50 m/s for all 5-petal members (about half the per-cycle cost of 2-petal, but each 5-petal cycle is ~2x longer; Sec. 5, Figs. 6/8); 2-petal totals on the same < 50 m/s scale (Fig. 6). Course-correction burns at perilune and at perigee between petals 2-3, assumed impulsive. MODEL: the full text NEVER states a dynamical model; internal evidence (approximate ~27 +/- 3 d period; per-flyby MCC accumulation; cycle-to-cycle inclination/periapsis variation) leans EPHEMERIS-CLASS simulation, so the row's model_assumption was reclassified cr3bp -> analytic-ephemeris (mirroring the Genova-Aldrin cr3bp -> bicircular precedent). V_inf-at-encounters is n/a (these are bound Earth-Moon orbits, not hyperbolic-encounter cyclers). NO_SOURCED_IC is now PERMANENT with respect to this source (the full text is figures-only). The single remaining source-axis lead is the companion paper ref [9] (Wittal/Smith/M. 2021).

Source quotes (per-field provenance)

Every numerical value in this entry traces to a verbatim or paraphrased quote from a cited source.

first_published.title
NTRS 20220013595 title: "Earth-Moon Cycler Mission Design for Lunar Logistics" — Wittal, Miaule, Asher.
first_published.venue
NTRS metadata: "International Astronautical Congress, Paris, France, September 18-22, 2022, paper IAC-22-C1.6.6".
notes
Full-text quotes (IAC-22-C1.6.6, mining note §2-3): - 2-petal stability domain (Sec. 5): "relatively stable and periodic so long as the perilune passage was greater than 7500 km and less than ~15,000 km in the +/- z direction". - 2-petal period (Sec. 5, p. 4): "approximately 27 +/- 3 days". - 4-petal negative (Sec. 2, p. 2): "no stable four-petal cyclers were found that could meet the period and inclination requirement". - 5-petal cadence (Sec. 2.3, p. 2): lunar flyby once every 53 days, access to the same pole once every 163 days. - Maintenance (Sec. 5, p. 5): lifetime dV over 5 cycles < 50 m/s for all 5-petal family members.