Evolution of the satellite's orbit in the Hill's problem taking into account the planet oblateness

Computer Science – Numerical Analysis

Scientific paper

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Elliptical Orbits, Hill Method, Motion Stability, Orbit Perturbation, Satellite Orbits, Equations Of Motion, Numerical Analysis, Numerical Integration, Oblate Spheroids, Orbit Calculation, Orbital Mechanics, Planetary Structure, Runge-Kutta Method

Scientific paper

The evolution of the satellite's orbit under the influence of simultaneous perturbations due to a third body which travels in an elliptical orbit is considered, taking into account effects which occur because of deviations of the planetary field from the properties of a central field. Questions of circular orbit stability are also investigated, giving attention to the transformation of the evolutionary equations and a numerical investigation of stability characteristics.

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