New Methods of Celestial Mechanics

Indexed in: Scopus

The book attempts to explain the main features of celestial mechanics using a new and unique technique. Its emphasis, in terms of applications, is on the Solar System, including its most peculiar ...
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Lunar problem

Pp. 67-78 (12)

Jan Vrbik


In this chapter we investigate complexities of Moon’s motion [11], [49], [53]. The perturbing body is Sun itself; the magnitude of the perturbing force is thus relatively large. Here, we can no longer use the averaging principle (its error would skew some of our results by as much as a factor of two), thus, the time-dependent version of our formulas will be occasionally required. Traditionally, this problem has always been considered a benchmark for any new technique.


Department of Mathematics Brock University Canada.