Euler-Newton-type differential equations for osculating Eulerian elements

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrodynamics, Celestial Mechanics, Euler Equations Of Motion, Satellite Orbits, Differential Equations, Newton Theory, Oblate Spheroids, Satellite Perturbation

Scientific paper

Euler-Newton-type differential equations are obtained for the a, e, s, l, g, and h elements of the satellite's intermediate orbit. An asymmetrical variant of the Eulerian orbit was used as the intermediate one. The coefficients of the components of the perturbing acceleration are represented in the equations with an accuracy up to the terms proportional to parameters having the order of the oblateness of the earth.

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