相对论运动积分器：数值精度和用BepiColombo和Mars-NEXT的说明
A Relativistic Motion Integrator: Numerical accuracy and illustration with BepiColombo and Mars-NEXT
摘要：
今天，航天器的运动仍然由经典的牛顿运动方程加上一些相对论修正来描述。由于所需的精确度越来越高，这种方法可能会变得很麻烦。我们使用相对论运动积分器（RMI）的方法来数值积分的本地相对论运动方程的航天器。介绍了RMI的原理。我们比较得到的结果与RMI方法与那些从通常的牛顿加校正方法的BepiColombo（围绕水星）和火星-NEXT（围绕火星）轨道器的轨道。最后，我们提出了一个数值研究的RMI和我们表明，RMI方法是相关的研究航天器的轨道。
英文摘要：
Today, the motion of spacecraft is still described by the classical Newtonian equations of motion plus some relativistic corrections. This approach might become cumbersome due to the increasing precision required. We use the Relativistic Motion Integrator (RMI) approach to numerically integrate the native relativistic equations of motion for a spacecraft. The principle of RMI is presented. We compare the results obtained with the RMI method with those from the usual Newton plus correction approach for the orbit of the BepiColombo (around Mercury) and Mars-NEXT (around Mars) orbiters. Finally, we present a numerical study of RMI and we show that the RMI approach is relevant to study the orbit of spacecraft.
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