A method for deriving the perturbation equation

Mathematics

Scientific paper

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Celestial Mechanics: Disturbing Force, Orbital Elements, Perturbation Equation

Scientific paper

A method for deriving instantaneous ellipse orbital perturbation equation of motion is given. It is based on the idea of vector differentiation. Under the frame of two-body problems, the variation of orbital elements that is perturbed by disturbing force is derived directly. Therefore, no matter from the mathematics or mechanics, the method of deriving seems to be clearer. Especially, the derivation of the two orbital elements ?, M are more straightforward than the traditional method.

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