The field of directions of motion in a Contopoulos potential

Astronomy and Astrophysics – Astronomy

Scientific paper

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Orbital Mechanics, Orbits, Potential Fields, Astronomy, Equations Of Motion

Scientific paper

An expression is derived for the gradient in the field of directions of
motion along the normal to a trajectory in a Contopoulos potential
field. This expression yields equations for the boundaries of the box
filled by the orbits, and equations for periodic orbits.

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