A family of spatial periodic orbits near the moon and planets

Details A family of spatial periodic orbits near the moon and planets A family of spatial periodic orbits near the moon and planets

Apr 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977dossr.233q1068l&link_type=abstract

Akademiia Nauk SSSR, Doklady, vol. 233, Apr. 21, 1977, p. 1068-1071. In Russian.

Physics

Earth-Moon System, Elliptical Orbits, Lunar Orbits, Spacecraft Orbits, Three Body Problem, Boundary Value Problems, Canonical Forms, Earth-Mars Trajectories, Earth-Mercury Trajectories, Hamiltonian Functions

Scientific paper

Three body problems involving a planet and a spacecraft orbiting about it are considered. Particular attention is given to the elliptical three body problem of the earth and a spacecraft in lunar orbit with an apocentric distance of about 70,000 km, a pericentric distance of about 4,000 km, a period of about 7 days, the spacecraft trajectory not deviating far from the normal to the lunar orbit plane. Attention is also given to three body problems involving a spacecraft and the Jupiter-sun, earth-sun, Mars-sun, and Mercury-sun systems.

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