Study on the analytic representation of halo orbits

Details Study on the analytic representation of halo orbits Study on the analytic representation of halo orbits

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985oner.rept.....m&link_type=abstract

Final Report Office National d'Etudes et de Recherches Aerospatiales, Paris (France). Direction des Etudes de Synthese.

Other

Elliptical Orbits, Lagrangian Equilibrium Points, Orbital Mechanics, Three Body Problem, Computer Programs, Orbit Perturbation, Stationkeeping

Scientific paper

The halo orbits about the Langrangian points L1 and L2 of the Sun-Earth system are discussed. The elliptic restricted three-body problem with the Sun at one focus and the mass Earth plus Moon at the other focus, i.e., at the barycenter of the Earth-Moon system, is solved up to the third-order. The small perturbative effects are shown to be almost negligible. For large halo orbits about the Lagrangian points L1 and L2, a third-order Lindstedt-Poincare method was developed. The two families of corresponding Halo orbits are presented. A simple stationkeeping procedure is outlined. The Lindstedt-Poincare equations program modules (FORTRAN) are given, with numerical tests.

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