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Asymptotic solution to the restricted three-body problem with a mass point moving near a small-mass body

โœ Scribed by Alexander El'bert

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
651 KB
Volume
33
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

The motion of a mass point in the gravitational field of two bodies traveling along arbitrary orbits about their center of mass is considered. The mass ratio of the two bodies is equal to e 1. When the mass point passes close to the smaller mass, the character of its trajectory changes abruptly, and the trajectory asymptotics as e โ†’ 0 is complex. The uniform asymptotic expansion of the entire trajectory up to any power of e is constructed and justified. In particular, an algorithm is presented for finding the limiting turning angle of the trajectory after the mass point passes a neighbourhood of the smaller mass.

๐Ÿ“œ SIMILAR VOLUMES

A certain class of periodic orbits aroun
A certain class of periodic orbits around the two finite masses in the restricted problem of three bodies
โœ K. Lous ๐Ÿ“‚ Article ๐Ÿ“… 1919 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 685 KB

Band 209. Nr. 5008. A certain class of periodic orbits around the two finite masses in the restricted problem of three bodies. Hy K Lous. [With onr platv.] In :IN 4865 (and Copenhagen Publications no. 26) 1)r. C. Burran antl Prof. R. Sfromgren have published a paper forming a part of the researche