Generation of passive flyby trajectories and choice of routes in relation to celestial bodies moving in Keplerian orbits

Physics

Scientific paper

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Celestial Bodies, Flyby Missions, Interorbital Trajectories, Kepler Laws, Spacecraft Trajectories, Trajectory Control, Elliptical Orbits, Equations Of Motion, Gravitational Fields, Orbital Elements, Rendezvous Trajectories

Scientific paper

A new approach to the problem of generating multiple flyby trajectories is described. A theorem of the existence of a flyby orbit for three bodies moving in circular orbits with the same radius is formulated and proved, and the question of the uniqueness of these orbits is analyzed. In addition, an effective numerical method is proposed for generating the flyby orbits for three bodies moving in arbitrary elliptical orbits. Examples are discussed which illustrate the capabilities of the proposed approach.

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