Mathematics
Scientific paper
Aug 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..56..541g&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 56, no. 4, p. 541-562.
Mathematics
15
Lagrangian Equilibrium Points, Orbit Calculation, Solar System, Three Body Problem, Transfer Orbits, Ephemeris Time, Equations Of Motion, Manifolds (Mathematics), Optimization, Orbital Mechanics, Swingby Technique
Scientific paper
The purpose of this paper is to study a transfer strategy from the vicinity of the Earth to a halo orbit around the equilibrium point L1 of the Earth-sun system. The study is done in the real solar system although some simplified models, such as the restrictod three-body problem (RTBP) and the bicircular problem, have been also used in order to clarify the geometrical aspects of the problem. The approach used in the paper makes use of the hyperbolic character of the halo orbits under consideration. The invariant stable manifold of these orbits enables the transfer to be achieved with, theoretically, only one maneuver: the one of insertion into the stable manifold. For the total Delta v required, the figures obtained are similar to the ones given by the standard procedures of optimization.
Gomez Gabriel
Jorba À.
Masdemont Josep J.
Simó Carles
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