New Methods of Celestial Mechanics

Author(s): Jan Vrbik

DOI: 10.2174/978160805187811001010001

Linearized Kepler problem

Pp: 1-17 (17)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

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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