Unperturbed trajectories in Maneff's gravitational field are ellipses in velocity plane.

Astronomy and Astrophysics – Astronomy

Scientific paper

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Two-Body Problem, Gravitational Field: Motions

Scientific paper

The unperturbed motion in Maneff's gravitational field (generated by a quasi-homogeneous potential) is being considered. The trajectories (precessional conic sections) representing solutions of the Maneff two-body problem are found to appear just as (arcs of) conic sections in the velocity plane. The only case of astronomical interest, the (arcs of) ellipses, is fully discussed and some remarks are made on qualitative behaviour of the motion.

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