开普勒系统辐射引力能的教学探讨
A Pedagogical Discussion Concerning the Gravitational Energy Radiated by Keplerian Systems
摘要:
我们首先讨论使用的尺寸参数(和四极发射假设)在推导的引力功率辐射的圆形轨道。然后,我们展示了如何简单地获得一般开普勒轨道上辐射的瞬时功率,通过近似它局部的圆。这允许恢复一个很好的精度,在椭圆的情况下,高度非平凡的依赖于由广义相对论给出的平均功率的偏心率。本科生可以理解整个方法。
英文摘要:
We first discuss the use of dimensional arguments (and of the quadrupolar emission hypothesis) in the derivation of the gravitational power radiated on a circular orbit. Then, we show how to simply obtain the instantaneous power radiated on a general Keplerian orbit by approximating it locally by a circle. This allows recovering with a good precision, in the case of an ellipse, the highly non trivial dependence on the eccentricity of the average power given by general relativity. The whole approach is understandable by undergraduate students.
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