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A new regularization of the restricted three-body problem and an application

✍ Scribed by E. A. Belbruno

Publisher
Springer Netherlands
Year
1981
Tongue
English
Weight
696 KB
Volume
25
Category
Article
ISSN
1572-9478

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πŸ“œ SIMILAR VOLUMES

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## 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 transformatio

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## 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