| Автор | László Á Gergely |
| Автор | Mitchell McKain |
| Дата выпуска | 2000-05-07 |
| dc.description | We present a geometric approach to the three-body problem in the non-relativistic context of the Barbour-Bertotti theories. The Riemannian metric characterizing the dynamics is analysed in detail in terms of the relative separations. Consequences of a conformal symmetry are exploited and the sectional curvatures of geometrically preferred surfaces are computed. The geodesic motions are integrated. Line configurations, which lead to curvature singularities for N 3, are investigated. None of the independent scalars formed from the metric and curvature tensor diverges there. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | The geometry of the Barbour-Bertotti theories: II. The three-body problem |
| Тип | paper |
| DOI | 10.1088/0264-9381/17/9/307 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 17 |
| Первая страница | 1963 |
| Последняя страница | 1978 |
| Выпуск | 9 |
