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

โœ Scribed by E. I. Timoshkova

Publisher
Springer Netherlands
Year
1985
Tongue
English
Weight
612 KB
Volume
36
Category
Article
ISSN
1572-9478

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๐Ÿ“œ SIMILAR VOLUMES

The formal integrals of the regularized
The formal integrals of the regularized restricted planar problem of three bodies
โœ E. I. Timoshkova ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 329 KB ๐Ÿ‘ 2 views

## 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 polynomi

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Integration theory for the restricted problem of three axisymmetric bodies
โœ S. M. El-Shaboury ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 332 KB

In this paper the circular planar restricted problem of three axisymmetric ellipsoids S,(i = 1,2,3), such that their equatorial planes coincide with the orbital plane of the three centres of masses. be considered. The equations of motion of infinitesimal body Sa be obtained in the polar coordmates.