## 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
β¦ LIBER β¦
A note on independent variables for restricted three-body problems
β Scribed by T. A. Heppenheimer
- Publisher
- Springer Netherlands
- Year
- 1971
- Tongue
- English
- Weight
- 218 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1572-9478
No coin nor oath required. For personal study only.
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A plane circular restricted three body problem is considered for small values of the ratio of the masses of the main bodies. All the limit problems as β 0: the two-body problem, Hill's problem, the intermediate HΓ©non problem and the basic limit problem, are found using a Power Geometry. In each of t