论文标题
特殊相对论中央力系统的结合状态
Bound States of Central Force System in Special Relativity
论文作者
论文摘要
在本文中,我们考虑了相对论特殊理论中的中心力量问题。我们得出了描述身体轨道的Binet方程的特殊相对论版本。然后,通过添加与径向坐标平方成比例的术语来改变重力电位在太阳能系统中的运动。使用扰动方法,我们获得了显式轨道功能。最后,还讨论了地球的轨道进动及其与一般相对性结果的关系。
In this paper we consider the central force problem in the special theory of relativity. We derive the special relativistic version of the Binet equation describing the orbit of a body. Then, the motion of a planet in a solar-like system where the gravitational potential is modified by adding a term that is proportional to the inverse of the square of the radial coordinate is discussed. Using perturbative method, we obtain the explicit orbital function. At the end, the orbital precession of the planet and its relation to the result from general relativity are also discussed.