New Methods of Celestial Mechanics

Linearized Kepler problem

Author(s): Jan Vrbik

Pp: 1-17 (17)

DOI: 10.2174/978160805187811001010001

* (Excluding Mailing and Handling)

Abstract

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.

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