论文标题
在相对论3身体问题中分开混乱的来源
Separating the Sources of Chaos in the Relativistic 3 Body Problem
论文作者
论文摘要
在牛顿后情况下，受限制的3个身体问题的动态已经并且继续进行了广泛的研究，并进行了许多特征，例如从系统中弹出物体，轨道，混乱轨迹和碰撞的动力。在本文中，我研究了这些特征在多大程度上归因于相对论原因（更正确地在牛顿的近似相对论原因的近似值）或更平淡的情况下，这些特征是否已经存在于牛顿案中，以及这些或其他影响是否也会是由于该领域传播的时代是否涵盖了文献中涵盖的影响。在这个项目中，我为模拟编写了定制代码，并以有条理的方式介绍了结果，以显示过程中的许多步骤。在附录中，我讨论了构建，测试和校准代码的技术挑战，以便现场中的其他非专家可以重现代码和结果，并基于我所做的工作。尽管这里完成的工作必须被视为初步，但结果表明，现场传播时间对限制的3个身体问题的行为的影响大于牛顿后校正后的影响，特别是由于角动量从二进制系统转移到测试质量上，因此对研究量的研究效果可能是对Binary Systems的研究效果。
The dynamics of the Restricted 3 Body Problem in the Post Newtonian context have been, and continue to be, studied extensively and a number of characteristics such as ejections of bodies from the system, precession of orbits, chaotic trajectories and collisions are investigated and classified. In this paper, I examine the extent to which these characteristics are attributable to Relativistic causes (more correctly Post Newtonian approximations of Relativistic causes) or more prosaically whether these characteristics already exist in the Newtonian case and whether these or other effects would also be caused by the time of propagation of the field, the impact of which is less well covered in the literature. In this project I have written bespoke code for the simulations and present the results in a methodical way showing many of the steps in the process. In the Appendices, I discuss the technical challenges of constructing, testing and calibrating the code, so that other non-experts in the field can reproduce the code and results and build on the work that I have done. Although the work done here must be considered preliminary, results suggest that the impact of the field propagation time on the behaviour of the test mass in the restricted 3 body problem outweighs the impact of the Post Newtonian corrections, in particular due to a transfer of angular momentum from the binary system to the test mass, and this effect may therefore be of interests to those studying accretion discs of binary systems.
