✦ LIBER ✦

A Note on the Regularization of the Restricted Three-body Problem

✍ Scribed by E. Leimanis

Publisher: John Wiley and Sons
Year: 1976
Tongue: English
Weight: 167 KB
Volume: 297
Category: Article
ISSN: 0004-6337
DOI: 10.1002/asna.19762970306

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The requirement that near a singular point of the equations of motion the power series expansions of the old variables in terms of the new ones start with second order terms leads to the transformation z = sin^2^1/2__w__ related to that of THIELE‐BURRAU. Using this new transformation, a derivation of the regularized equations of motion is given. The original as well as the regularized equations of motion are of interest, for example, for calculating the initial values of the orbital elements for SCHWARZSCHILD's periodic solutions (LEIMANIS and OLUND 1972).

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