## 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
β¦ LIBER β¦
A new regularization of the planar problem of three bodies
β Scribed by Joerg Waldvogel
- Publisher
- Springer Netherlands
- Year
- 1972
- Tongue
- English
- Weight
- 808 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1572-9478
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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 THIELEβBURRAU. Using this new transformatio