✦ LIBER ✦

The formal integrals of the regularized restricted planar problem of three bodies

✍ Scribed by E. I. Timoshkova

Publisher: John Wiley and Sons
Year: 1981
Tongue: English
Weight: 329 KB
Volume: 302
Category: Article
ISSN: 0004-6337
DOI: 10.1002/asna.2103020207

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The algorithm for constructing the first integrals of motion of the regularized restricted planar problem of three bodies is proposed. The integrals are constructed as the formal power series in one from variables. It is shown that coefficients of these series are trigonometric polynomials of the other variable. The proposed algorithm can be realized on a computer both analytically and numerically.

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