Averaging the Planar Three-Body Problem in the Neighborhood of Double Inner Collisions
✍ Scribed by Jacques Féjoz
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 130 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
## 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
We study simultaneous binary collision SBC singularities of L binaries in the planar N-body problem, 2 L F N. We introduce the generalized Levi-Civita transformation and follow it by a new transformation which we call the projective transformation near a SBC singularity. We use this transformation t