Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 1

hollister-menning-1970-ev-orbit-01 · source: literature · validation: V0

Signature

Bodies: E-V
Primary: Sun (default — heliocentric)
Sequence (canonical): E-V
Sense: n/a
Orbit class: Cycler
strict cycler (infinite returns)
Cycler class: single-ellipse
Trajectory regime: ballistic
Maintenance ΔV band: unclassified
Model assumption: circular-coplanar
Idealised: planets on circles, coplanar ecliptic.
Period: 16.000 yr (10 × E-V synodic)
PRIMARY-SOURCED. Table 3 footnote: "dates repeat after 16 yr (add 5844 days)". This orbit's Earth-row date span (last E - first E) = 5844 days = 5844. k = 10 is DERIVED: 16.0 yr / 1.599 yr (E-V synodic) = 10.01. Shared across the 15-orbit family (the 16-yr period is the same periodic cycle for all members).
Priority date: 1970-10-01

V∞ at encounters

E (encounter 1): 5.75 km/s
Hollister & Menning 1970, Table 3, Orbit 1; max Earth-row V_r = 0.193 EMOS * 29.785 km/s = 5.75 km/s. Per-encounter V_r values (matched-V_inf at each repeated Earth encounter) are in data/sources/hollister-menning-1970-table3.yaml.
V (encounter 2): 6.70 km/s
Hollister & Menning 1970, Table 3, Orbit 1; max Venus-row V_r = 0.225 EMOS * 29.785 km/s = 6.7 km/s.

Orbit elements (heliocentric)

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

a/e/perihelion/aphelion not tabulated by Table 3 (which lists per- encounter date, V_r, turn angle and R_min only). Inclination 0.0 reflects the circular-coplanar idealization of the Hollister lineage.

Orbit view 2.5D ecliptic projection

spacecraft: idealized coplanar ellipse planets: J2000 osculating ellipse (Standish & Williams Table 1) clock: idealized phase clock (no epoch) orientation: coplanar-idealized (no Ω/ω published — in-plane ellipse) encounters: time-true on the idealized phase clock (real mean motions, phase chosen so the geometry's encounters occur)

— — planet orbit (true J2000 ellipse) ——— cycler ellipse

Definition status

incomplete — core fields missing or known-unknowns tracked below

Family: Hollister & Menning 1970 Earth-Venus periodic swing-by family

Primary citation

Hollister, W. M. & Menning, M. D. (1970). Periodic Swing-By Orbits between Earth and Venus. Journal of Spacecraft and Rockets, Vol. 7, No. 10, pp. 1193-1199.

DOI: 10.2514/3.30134

URL: docs/refs/hollister-menning-1970-periodic-swingby-earth-venus-JSR-7-10.pdf

Pre-Aldrin (1985) foundational cycler-class paper; first peer-reviewed analytical demonstration of a periodic Earth-Venus matched-V_inf gravity-assist orbit. This entry is orbit 1 of the paper's Table 3.

orbit source Hollister & Menning 1970, Table 3 orbit fidelity circular-coplanar V∞ source Hollister & Menning 1970, Table 3 V∞ fidelity circular-coplanar

Notes

Member 1 of the 15-orbit Hollister & Menning 1970 Earth-Venus periodic swing-by family (paper Table 3, pp. 1196-1198). Each orbit is a distinct periodic solution with its own per-encounter dates, V_r (EMOS), turn angle and R_min; the full per-encounter detail (and the consecutive-date ToFs) is transcribed in data/sources/hollister-menning-1970-table3.yaml. Date checksum (last E - first E) = 5844 days (footnote rule: add 5844). ToFs (days, consecutive encounter date differences from Table 3): [365, 165, 225, 225, 170, 366, 168, 225, 225, 223, 365, 153, 225, 225, 169, 365, 171, 225, 225, 155, 366, 222, 225, 225, 171]

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: Table 3, Orbit 1: max Earth-encounter V_r = 0.193 EMOS, transcribed from the scanned table; * 29.785 km/s (EMOS) = 5.75 km/s.
vinf_kms_at_encounters[1].vinf_kms: Table 3, Orbit 1: max Venus-encounter V_r = 0.225 EMOS, transcribed from the scanned table; * 29.785 km/s (EMOS) = 6.7 km/s.