Subjects: Astronomy submitted time 2024-12-31
Abstract： This paper comprehensively considers factors influencing the motion of Deimos, such as the two-body motion model between Deimos and Mars, Mars' gravity field, the three-body perturbation from major celestial bodies in the solar system, general relativity effects, Martian solid tides, and the libration of Deimos. A dynamical model for Deimos is established, and the methodology of precise satellite orbit determination, originally designed for artificial satellites, is extended to the natural satellite Deimos. Additionally, an adjustment model for fitting dynamic model data is developed. In the process of model establishment, this paper compares the computational efficiency of three mainstream integration algorithms in orbital research, namely the 8-order Runge-Kutta-Fehlberg (RKF), 12-order Adams-Bashforth-Moulton, and Gauss-Radau methods when solving Deimos' orbit. Simultaneously, a comparison is made between the results obtained using the complete general relativity model and a simplified relativistic model that treats Deimos' orbit as circular. Numerical experimental results indicate that the established dynamical model and adjustment model for Deimos are stable and reliable. Moreover, under equivalent experimental conditions, the computational accuracy of the three integration algorithms is comparable, with the 12th-order Adams-Bashforth-Moulton method demonstrating the highest computational efficiency. The results from both relativistic models are comparable, and the simplified model can be directly utilized when considering computational efficiency. This work lays the foundation for the subsequent development of a new dynamical model for Martian satellites, incorporating complete rotation, and the construction of accurate Deimos ephemerides.
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Subjects: Astronomy >> Astrophysical processes submitted time 2021-07-06 Cooperative journals: 《天文研究与技术》
Abstract：月球物理天平动是对月球运动在空间摆动的描述。确定月球物理天平动,可以推测物理天平动的激发与耗散机制,比如陨击、月震和核幔粘滞摩擦等,故测定月球物理天平动对认识太阳系中天体的起源、演化及结构等,都具有十分重要的意义。本文利用最新的INPOP19a历表的数据，完成了对历表提取的欧拉角到月球物理天平动的转换，得到的物理天平动数值分别与该系列历表INPOP17a以及被广泛使用的DE430对比，发现不同历表的物理天平动之差存在着稳定周期。对比历表欧拉角的差别，计算出地心到月面反射器A15的距离最大有30厘米的差别，此结果对月球激光测距的预报精度有较大的影响，为后续的高精度测月研究打下基础。研究结果表明，INPOP19a最为稳定，故在月球物理天平动研究中推荐使用INPOP19a。
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