Russell-Ocampo cycler 3.1.2.+1 (3-synodic, low terminal speeds)

russell-ocampo-3.1.2+1 · source: literature · validation: V0

Signature

Bodies: E-M
Sequence (canonical): E-E-M-M
Sense: outbound
Period: 6.410 yr (3 × E-M synodic)
3 x 2.135 yr ≈ 6.405 yr; Russell 2004 Table 3.6 gives complete-cycle time 2529 d ≈ 6.93 yr (includes partial second-cycle leg).
Priority date: 2003-02-09

V∞ at encounters

E (#1): 3.40 km/s
Russell 2004 Table 3.4 row 3.1.2.+1.
M (#2): 4.60 km/s
Russell 2004 Table 3.4 row 3.1.2.+1.

Orbit elements (heliocentric)

Semi-major axis a: — AU
Eccentricity e: —
Perihelion: — AU
Aphelion: 1.626 AU
Inclination: 0.00°

Legs

E → M: 181 d, 0 revs
Russell 2004 Table 3.4 row 3.1.2.+1.

Primary citation

Russell, R. P. & Ocampo, C. A. (2005). Geometric Analysis of Free-Return Trajectories Following a Gravity-Assisted Flyby. Journal of Spacecraft and Rockets, Vol. 42, No. 1, pp. 138-151.

DOI: 10.2514/1.5571

URL: https://arc.aiaa.org/doi/abs/10.2514/1.5571

Notes

Russell §3.8 highlights this cycler: "Cycler 3.1.1.+3, Cycler 3.1.2.+1, and Cycler 3.7.1.+1 have low terminal speeds and require two, three, and four flybys respectively." A 3-synodic period (~6.4 yr) cycler with low V_inf at both bodies — close to the VEM beat period but using only E-M flybys.

Source quotes (per-field provenance)

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

vinf_kms_at_encounters[0].vinf_kms: Russell 2004 Table 3.4 row 3.1.2.+1.
vinf_kms_at_encounters[1].vinf_kms: Russell 2004 Table 3.4 row 3.1.2.+1.
legs[0].tof_days: Russell 2004 Table 3.4 row 3.1.2.+1.
aphelion_au: Russell 2004 Table 3.4: Aphelion Ratio 1.07 x 1.52 AU = 1.626 AU.