A Direct Method of Deriving Perturbation Equation of Motion

A direct method of deriving perturbation equation of motion is proposed. Namely, the variations in the orbital elements of an instantaneous ellipse in the sense of two-body problem under the action of three components of the perturbing force are directly derived by means of vector differentiation, w...

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Bibliographic Details
Published in:Chinese astronomy and astrophysics 2007-04, Vol.31 (2), p.205-210
Main Authors: Feng, He-sheng, Li, Yu-qiang
Format: Article
Language:English
Subjects:
celestial mechanics
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Summary:A direct method of deriving perturbation equation of motion is proposed. Namely, the variations in the orbital elements of an instantaneous ellipse in the sense of two-body problem under the action of three components of the perturbing force are directly derived by means of vector differentiation, with a sharp geometric image and explicit mechanical significance. The derivation of the two orbital elements, ω ˙ and M ˙ , is especially more concise and objective than in the traditional method.
ISSN:0275-1062
1879-128X
DOI:10.1016/j.chinastron.2007.03.003