| 张豪,高玮,林文斌.Horndeski引力时空中的准开普勒运动[J].南华大学学报(自然科学版),2023,(6):56~60.[ZHANG Hao,GAO Wei,LIN Wenbin.Quasi-Keplerian Motion in Horndeski Gravity Space-time[J].Journal of University of South China(Science and Technology),2023,(6):56~60.] |
| Horndeski引力时空中的准开普勒运动 |
| Quasi-Keplerian Motion in Horndeski Gravity Space-time |
| 投稿时间：2023-08-05 |
| DOI： |
| 中文关键词: 后牛顿近似 准开普勒运动 Horndeski引力 |
| 英文关键词:post-Newtonian approximation quasi-Keplerian motion Horndeski gravity |
| 基金项目:国家自然科学基金项目(11973025) |
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| 摘要点击次数: 37 |
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| 中文摘要: |
| Horndeski引力理论是标量张量修改引力理论中的集大成者。本文基于Horndeski引力度规张量,推导试验粒子在准开普勒运动中的二阶后牛顿解,以研究Horndeski引力中标量场对试验粒子准开普勒运动产生的效应。对Horndeski引力度规张量做二阶后牛顿近似展开,计算试验粒子的拉格朗日量、轨道能量以及角动量,由此表示的准开普勒运动的半长轴和偏心率。利用偏近点角和真近点角之间的关系,推导了准开普勒运动的运动方程和周期。 |
| 英文摘要: |
| Horndeski gravity is the culmination of scalar tensor modified gravitational theory. In this paper, based on the Horndeski gravity metric tensor, the second-order post-Newtonian solution of the test particle in quasi-Kepler motion was derived, so as to study the effects of the scalar field in the Horndeski gravity on the quasi-Kepler motion of the test particle. The second order post Newton approximate expansion of Horndeski gravity metric tensor is used to calculate the Lagrangian, orbital energy and angular momentum of the test particle, thereby representing the semi-major axis and eccentricity of the quasi-Keplerian motion. Then, by using the relationship between eccentric anomaly and true anomaly, the equations of motion and period of quasi-Kepler motion are derived. |
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