Abstract
The main problem of celestial mechanics is to compute the movement of a point mass in space. The force entering the relevant differential equations can often be split into two parts, one of which can be considered as a small perturbation. This paper reviews some methods useful for the solution of such equations. Grobner's non-linear method is briefly mentioned. Further, a regularization technique, appropriate for the perturbed Kepler problem, is discussed and compared with other methods. Finally, the treatment in the case of forced perturbations which are of interest for satellites, is briefly outlined.
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