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Hollister & Menning 1970 periodic Earth-Venus swing-by, orbit 8

hollister-menning-1970-ev-orbit-08 · 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)

6.43 km/s

Hollister & Menning 1970, Table 3, Orbit 8; max Earth-row V_r = 0.216 EMOS * 29.785 km/s = 6.43 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)

6.49 km/s

Hollister & Menning 1970, Table 3, Orbit 8; max Venus-row V_r = 0.218 EMOS * 29.785 km/s = 6.49 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.

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 8 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 8 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). Source-file note for this orbit: Row 'V 4870' is printed as-is in the scan; it is out of monotonic date order (between 5645 and 6095) and is almost certainly a source typo for 5870 (cf. sibling orbits). Transcribed as printed; not an Earth row, so does not affect the checksum. ToFs (days, consecutive encounter date differences from Table 3): [365, 189, 225, 225, 81, 495, 115, 225, 225, 98, 493, 118, 225, 225, 131, 485, 111, 225, 225, 104, 495, 111, -775, 1225, 203]

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 8: max Earth-encounter V_r = 0.216 EMOS, transcribed from the scanned table; * 29.785 km/s (EMOS) = 6.43 km/s.

vinf_kms_at_encounters[1].vinf_kms

Table 3, Orbit 8: max Venus-encounter V_r = 0.218 EMOS, transcribed from the scanned table; * 29.785 km/s (EMOS) = 6.49 km/s.