Generation of trajectories and choice of routes for a passive flyby of a group of celestial bodies moving in Keplerian orbits.

Details Generation of trajectories and choice of routes for a passive flyby of a group of celestial bodies moving in Keplerian orbits. Generation of trajectories and choice of routes for a passive flyby of a group of celestial bodies moving in Keplerian orbits.

May 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cosre..29..759a&link_type=abstract

Cosmic Res., Vol. 29, No. 6, p. 759 - 773

Physics

Scientific paper

The problem of generating trajectories for a flyby of several given celestial bodies moving in Keplerian orbits is solved in a new formulation. It is demonstrated that there exist trajectories along which one vehicle can fly by at least three bodies. A theorem asserting the existence of a trajectory for the flyby of three bodies moving in circular orbits of common radius is formulated and probed. The uniqueness of such trajectories is analyzed. An effective numerical method is proposed for generating trajectories for the flyby of three bodies moving in arbitrary elliptical orbits. The possibilities of the method are illustrated with examples. Questions regarding the insertion of the vehicle into the flyby trajectory are not discussed here.

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