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Equations of motion for isolated bodies with relativistic corrections including the radiation reaction forceстатья
- Авторы: Grishchuk L.P., Kopeikin S.M.
- Сборник: Relativity in celestial mechanics and astrometry: High precision dynamical theories and observational verifications
- Серия: Proceedings of the International Astronomical Union, IAU Symposium
- Том: 114
- Год издания: 1986
- Место издания: Reidel Amsterdam
- Первая страница: 19
- Последняя страница: 33
- Аннотация: The equations of motion for two spherically-symmetric nonrotating bodies in the slow motion approximation were derived in an explicit form. The equations include relativistic corrections of the order of (v/c)-squared, (v/c) to the 4th, and (v/c) to the 5th to the Newtonian equations of motion. It is shown that the equations depend on the only parameter characterizing each body, namely on its relativistic mass, regardless of its internal structure and degree of compactness. This means that the equations can also be applied to bodies with a strong internal gravity, such as neutron stars and black holes. It is shown that in the (v/c)-squared and (v/c) to the 4th approximations the equations can be derived from a Lagrangian. The Lagrangian is given in an exact form. The integration of the equations of motion is performed by the method of osculating elements. The formulas for secular change of the semimajor axis and eccentricity coincide precisely with the standard ones whose derivation is based on a calculation of the energy flux in the outgoing gravitational waves.
- Добавил в систему: Копейкин Сергей Михайлович
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | 1986IAUS__114___19G.pdf | 1,1 МБ | 20 января 2016 [kopeikins] |