标题： 火卫二的旋转与轨道耦合动力学模型 显示英文标题

标题： Dynamical Model of Rotation and Orbital Coupling for Deimos

摘要： 本文介绍了一种新的动力学模型，该模型基于现有数值星历中针对火卫二的动力学模型进行了扩展，而后者仅考虑了火卫二的简单章动效应。 研究全面纳入了太阳系内主要天体（火星和太阳）施加的力矩对火卫二自转动力学的影响，这些影响发生在惯性空间中。 由此建立了一个完整动力学模型，用于描述火卫二自转与轨道之间的完全耦合关系。 同时，利用人造卫星精密轨道确定方法，我们开发了适配完整模型的数据调整模型。 采用12阶Adams–Bashforth–Moulton (ABM) 积分算法同步积分完整模型的12个状态变量，以获取火卫二的轨道。 数值模拟结果显示，完整动力学模型和调整模型稳定且可靠。 与简单模型相比，在完整模型中，火卫二的惯性空间极轴表现出更为复杂的振荡。 本工作进一步改进了当前的火卫二动力学模型，并为生成新的精确数值星历奠定了基础模型。 显示英文摘要

摘要： This paper introduces a novel dynamical model, building upon the existing dynamical model for Deimos in the current numerical ephemerides, which only encompasses the simple libration effects of Deimos. The study comprehensively incorporates the rotational dynamics of Deimos influenced by the torque exerted by the major celestial bodies (Mars, the Sun) in the solar system within the inertial space. Consequently, a full dynamical model is formulated to account for the complete coupling between the rotation and orbit of Deimos. Simultaneously, employing precision orbit determination methods used for artificial satellites, we develop an adjustment model for fitting data to the complete model. The 12-order Adams--Bashforth--Moulton (ABM) integration algorithm is employed to synchronously integrate the 12 state variables of the full model to obtain the orbit of Deimos. Numerical simulation results indicate that the full dynamical model and adjustment model are stable and reliable. Compared to the simple model, the polar axis of Deimos in the inertial space exhibits a more complex oscillation in the full model. This work further advances the current dynamical model for Deimos and establishes the foundational model for the generation of a new set of precise numerical ephemerides for Deimos.