| 书目名称 | The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity |
| 编辑 | Paul Ramond |
| 视频video | |
| 概述 | Nominated as an outstanding PhD thesis by the Université PSL and Observatiore de Paris.Includes a review of Isochrony in physics and a complete solution of Henon‘s isochrone problem.Provides new exten |
| 丛书名称 | Springer Theses |
| 图书封面 |  |
| 描述 | .The thesis tackles two distinct problems of great interest in gravitational mechanics — one relativistic and one Newtonian. The relativistic one is concerned with the "first law of binary mechanics", a remarkably simple variational relation that plays a crucial role in the modern understanding of the gravitational two-body problem, thereby contributing to the effort to detect gravitational-wave signals from binary systems of black holes and neutron stars. The work reported in the thesis provides a mathematically elegant extension of previous results to compact objects that carry spin angular momentum and quadrupolar deformations, which more accurately represent astrophysical bodies than mere point particles. .The Newtonian problem is concerned with the isochrone problem of celestial mechanics, namely the determination of the set of radial potentials whose bounded orbits have a radial period independent of the angular momentum. The thesis solves this problem completely ina geometrical way and explores its consequence on a variety of levels, in particular with a complete characterisation of isochrone orbits. .The thesis is exceptional in the breadth of its scope and achievements. It |
| 出版日期 | Book 2023 |
| 关键词 | Isochrony in physics; Henon‘s isochrone problem; Gravitational wave physics; General Relativity; Two-bod |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-17964-8 |
| isbn_softcover | 978-3-031-17966-2 |
| isbn_ebook | 978-3-031-17964-8Series ISSN 2190-5053 Series E-ISSN 2190-5061 |
| issn_series | 2190-5053 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:40:15
