非相对论与相对论情形下的轨道偏差及希罗科夫效应
Deviation of trajectories in nonrelativistic and relativistic cases and Shirokov effect
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中文总结 AI 辅助
该研究对比非相对论与相对论情形下的圆轨道偏差，推导偏差方程通解，确定使近圆轨道闭合的势与度规分量，给出近心点进动表达式，估算宇宙学常数的影响，找到无希罗科夫效应的球对称度规。
中文摘要 AI 辅助
我们对比了非相对论与相对论情形下圆轨道的偏差，得到了偏差方程的通解，确定了非相对论情形下的势及广义相对论中使近圆轨道为闭合曲线的度规分量，给出了静态球对称时空中近圆轨道近心点进动的显式表达式，估算了宇宙学常数对轨道近心点进动的影响，最终找到了不存在希罗科夫效应的球对称度规。
英文摘要
We compare the deviations of circular orbits in the nonrelativistic and relativistic cases. General solutions of the deviation equations are obtained. We find the potentials for the nonrelativistic case and the metric components in general relativity for which trajectories close to circular ones are closed curves. Explicit expressions for the pericenter shift of an orbit close to a circular one in a static spherically symmetric spacetime are obtained. Estimates of the cosmological constant effect on the orbit pericenter shift are given. Finally, we find the spherically symmetric metric in which the Shirokov effect is absent.
