论文标题
卫星下行信号的数值建模
Numerical Modelling of Satellite Downlink Signals in a Finslerian-Perturbed Schwarzschild Spacetime
论文作者
论文摘要
本文介绍的工作旨在通过太阳系中的实验和观察结果来促进Finsler重力理论的问题。在一类球形对称的静态鳍空间中，我们考虑了带有板载原子钟的卫星，在地球的Finslerian pert扰的引力场中绕着旋转，其时间信号传输到地面站，其接收时间和频率与另一个原子钟有关。这种配置由误入歧途的伽利略5和6卫星实现，现在在非圆形轨道上。我们的方法包括卫星轨道的数值集成，然后是迭代过程，该过程提供了数值集成的信号，即从卫星到地面站。我们的主要发现之一是，对于比Galileo 5和6卫星轨道更古怪的轨道，可以将Finslerian效应与Lorentzian几何形状内Schwarzschild时空扰动的影响分开。我们还讨论了与非剥削扰动的影响的分离。这使我们得出这样的结论：这种观察与适当的数值建模相结合可以提供适当的Finslerian对一般相对性修改的测试。
The work presented in this paper aims to contribute to the problem of testing Finsler gravity theories by means of experiments and observations in the solar system. Within a class of spherically symmetric static Finsler spacetimes we consider a satellite with an on-board atomic clock, orbiting in the Finslerian-perturbed gravitational field of the earth, whose time signal is transmitted to a ground station, where its receive time and frequency are measured with respect to another atomic clock. This configuration is realized by the Galileo 5 and 6 satellites that have gone astray and are now on non-circular orbits. Our method consists in the numerical integration of the satellite's orbit, followed by an iterative procedure which provides the numerically integrated signals, i.e., null geodesics, from the satellite to the ground station. One of our main findings is that for orbits that are considerably more eccentric than the Galileo 5 and 6 satellite orbits, Finslerian effects can be separated from effects of perturbations of the Schwarzschild spacetime within the Lorentzian geometry. We also discuss the separation from effects of non-gravitational perturbations. This leads us to the conclusion that observations of this kind combined with appropriate numerical modelling can provide suitable tests of Finslerian modifications of general relativity.
