Simple trajectories in a rotationally symmetric gravitational field

Astronomy and Astrophysics – Astronomy

Scientific paper

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Elliptic Functions, Gravitational Fields, Particle Motion, Particle Trajectories, Classical Mechanics, Curves (Geometry), Trajectory Analysis

Scientific paper

All trajectories which are represented by second-order algebraic curves
are found for the case of planar motion in a field with a cubic
potential. Elliptic and elementary functions are used to describe the
motion along the trajectory.

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