Ross/Roberts-Tsoukkas 2026 abstract-mu=0.001 (1,1) prograde CR3BP cycler — Table I representative

ross-rt-mu001-cycler-11-2026 · source: literature · validation: V1

Signature

Bodies: P1-P2
Primary: P1
Sequence (canonical): P1-P2
Sense: n/a
Orbit class: Cycler
strict cycler (infinite returns)
Cycler class: non-keplerian (CR3BP)
Trajectory regime: ballistic
Maintenance ΔV band: unclassified
Model assumption: cr3bp
CR3BP — Jacobi-constant-conserved; signature not patched-conic comparable.
Period: — yr (1 × P1-P2 synodic)
T = 14.774502790974823 TU (Ross & Roberts-Tsoukkas 2026 arXiv:2606.29189v1 Table I, mu=0.001 (1,1) representative). Abstract-mu row: TU is a nominal placeholder (1.0 s) and bodies P1/P2 are generic — no real system identified for mu=0.001. years: null (no real bodies, rotating-frame CR3BP).
Priority date: 2026-06-01

V∞ at encounters

P1 (encounter 1): — (not published)
CR3BP periodic orbit: conserved quantity is the Jacobi constant (C), not patched-conic V_inf. Abstract-mu row (no real system; mu=0.001).
P2 (encounter 2): — (not published)
Same — Jacobi-constant model, abstract mu (P2 = generic secondary, no real body identified).

CR3BP orbit identity

Family: (1,1) prograde CR3BP cycler (mu=0.001)
Mass ratio (μ): 0.001
Jacobi constant: 3.0316
Period (non-dim): 14.7745
Stability index: 0.412

Planar CR3BP rotating-frame periodic orbit, abstract-mu (mu=0.001, no real bodies); Keplerian elements inapplicable.

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: CR3BP (rotating frame)

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

Definition status

incomplete — core fields missing or known-unknowns tracked below

Known-unknowns (1)

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

orbit_elements.cr3bp [not-applicable]
Abstract-mu row: mu=0.001 has no known real planetary system. The CR3BP family and its (C, T, sp) are sourced from Ross & Roberts-Tsoukkas 2026 Table I; lunit_km and tunit_s are nominal placeholders (1.0). A real instantiation would replace them with system-specific constants.

source: Ross & Roberts-Tsoukkas 2026 (arXiv:2606.29189v1) Table I.

Primary citation

Ross, S. D. & Roberts-Tsoukkas, M. (2026). Families of Stable Prograde Cycler Orbits in the Circular Restricted Three-Body Problem. arXiv preprint arXiv:2606.29189v1.

URL: https://arxiv.org/abs/2606.29189

Table I mu=0.001 (1,1) representative. ingestion 2026-06-30.

Notes

Ross & Roberts-Tsoukkas 2026 Table I: abstract-mu (mu=0.001) (1,1) prograde CR3BP cycler representative. Reproduced in-repo (2026-06-30): corrector closes on sourced (C, T), Barden sp=0.4121 (STABLE, |sp|<1), independent Radau PASS (closure <1e-6, dJ<1e-8). No real system identified for mu=0.001. state_nd DERIVED (x0 sourced; ydot0 computed from C).

Source quotes (per-field provenance)

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

orbit_elements.cr3bp.jacobi_constant: Ross & Roberts-Tsoukkas 2026 arXiv:2606.29189v1 Table I: mu=0.001 (1,1) C = 3.031605708907296.
orbit_elements.cr3bp.period_nd: Ross & Roberts-Tsoukkas 2026 arXiv:2606.29189v1 Table I: mu=0.001 (1,1) T = 14.774502790974823 TU.
orbit_elements.cr3bp.stability_index: Ross & Roberts-Tsoukkas 2026 arXiv:2606.29189v1 Table I: mu=0.001 (1,1) sp = 0.4121.
orbit_elements.cr3bp.mass_ratio: Ross & Roberts-Tsoukkas 2026 arXiv:2606.29189v1 Table I: mu = 0.001.