A new regularization of the planar problem of three bodies |
| |
| Authors: | Joerg Waldvogel |
| |
| Institution: | (1) University of Texas at Austin, Austin, Tex., USA |
| |
| Abstract: | A new method of simultaneously regularizing the three types of binary collisions in the planar problem of three bodies is developed: The coordinates are transformed by means of certain fourth degree polynomials, and a new independent variable is introduced, too. The proposed transformation is in each binary collision locally equivalent to Levi-Civita's transformation, whereas the singularity corresponding to a triple collision is mapped into infinity. The transformed Hamiltonian is a polynomial of degree 12 in the regularized variables.Presented before the Division of Dynamical Astronomy at the 133rd meeting of the American Astronomical Society, Tampa, Florida, December 6–9, 1970.Department of Aerospace Engineering and Engineering Mechanics. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
