Precession of a planet with the multiple scales lindstedt-poincare technique
| dc.contributor.author | Pakdemirli M. | |
| dc.date.accessioned | 2024-07-22T08:13:59Z | |
| dc.date.available | 2024-07-22T08:13:59Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | The recently developed multiple scales Lindstedt- Poincare (MSLP) technique is successfully applied to a mathematical model of planet motion. The equation is originally developed to precisely understand the orbital motion of the planet Mercury around the Sun and the precession of the orbit due to the relativistic effects. The quadratic nonlinear equation is solved by the classical Lindstedt-Poincare method (LP) and then by the newly developed multiple scales Lindstedt-Poincare method (MSLP). Both approximate solutions are contrasted with the numerical simulations. When the relativistic effects are small, all three solutions coincide with each other. When the perturbation effects are increased, the MSLP solutions agree better with the numerical solutions than the LP solutions. The precession of the perihelion of the planet is calculated and compared for the approximate solutions. | |
| dc.identifier.DOI-ID | 10.1515/zna-2015-0312 | |
| dc.identifier.issn | 09320784 | |
| dc.identifier.uri | http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16461 | |
| dc.language.iso | English | |
| dc.publisher | Walter de Gruyter GmbH | |
| dc.rights | All Open Access; Hybrid Gold Open Access | |
| dc.title | Precession of a planet with the multiple scales lindstedt-poincare technique | |
| dc.type | Article |