关于开普勒系统辐射引力能量的教学讨论
科普物理
2015-05-13 v2 综合物理
摘要
我们首先讨论了在推导圆轨道上辐射的引力功率时，量纲分析（以及四极辐射假设）的使用。然后，我们展示了如何通过将一般开普勒轨道局部近似为圆，来简单地获得其上辐射的瞬时功率。这使得在椭圆轨道情况下，能够以良好的精度恢复广义相对论给出的平均功率对偏心率的强非平凡依赖性。整个方法可供本科生理解。
引用
@article{arxiv.0811.0317,
title = {A Pedagogical Discussion Concerning the Gravitational Energy Radiated by Keplerian Systems},
author = {C. Bracco and J. -P. Provost and P. Salati},
journal= {arXiv preprint arXiv:0811.0317},
year = {2015}
}
备注
A simpler method has been used in the calculations, which requires now only standard knowledge (the radius of curvature is defined by the normal acceleration). Two figures have been added. Concerning the dimensional analysis, the comparison with electromagnetism has been detailed