One form of differential equations for elements of a hyperbolic orbit

Astronomy and Astrophysics – Astronomy

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Hyperbolic Differential Equations, Hyperbolic Trajectories, Orbital Elements, Transfer Orbits, Distribution Functions, Gravitational Fields, Orbit Calculation

Scientific paper

Differential equations are introduced in a very general form to describe the elements of a hyperbolic transfer orbit for a material point which is moving in the gravitational field of a collapsed planet. The orbit is constructed on the basis of a symmetric variant of the problem of two fixed centers. The disturbing functions of these equations have a gravitational nature.

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