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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Linearized Kepler problem

Pp. 1-17 (17)

Jan Vrbik


Our first objective is to reformulate the age-old problem of a satellite orbiting a primary (of a substantially bigger mass) by means of quaternion algebra.1 In subsequent chapters, this will facilitate a relatively simple construction of the problem’s iterative solution. Here we also review some details of constructing the unperturbed solution.


Department of Mathematics Brock University Canada.