飞控与探测2023，Vol.6Issue(4)：45-55,11.
基于变分迭代的航天器相对姿轨耦合动力学解算方法
Calculation Method of Orbit-Attitude Coupling Dynamics for Spacecraft Relative Motion Based on Variational Iteration
摘要
Abstract
The general relative motion of the spacecraft is represented by the dual quaternion and spinor in the de-fined coordinate system,and a six-degree-of-freedom kinematic and dynamical model of the spacecraft is derived.The nonlinear model is solved by adopting the Runge-Kutta fourth-order algorithm and the local variational iteration method(LVIM),respectively.The collocation form of the local variational iteration method is the compound of the local variational iteration method and the collocation method.In this paper,the iterative equation of the local varia-tional iteration method is firstly given,and then the local variational iteration method is extended to a small-time in-terval,and finally the numerical iteration equation is obtained by combining the collocation method.Compared with other models,the model based on dual quaternion is simpler,which is convenient to analyze the coupling character-istics of attitude and orbit.The numerical results verify that the variational iteration method in collocation form is more accurate than the Runge-Kutta fourth-order algorithm.关键词
相对运动/姿轨耦合/对偶四元数/变分迭代法/配点法Key words
relative motion/attitude and orbit coupling/dual quaternions/variational iteration method/collocation method分类
航空航天引用本文复制引用
何伟,吴佳伟,汪雪川,岳晓奎,宋婷..基于变分迭代的航天器相对姿轨耦合动力学解算方法[J].飞控与探测,2023,6(4):45-55,11.基金项目
国家自然科学基金(11972026,U2013206) （11972026,U2013206）
陕西省科学技术协会青年人才托举计划项目(2021-5-4) （2021-5-4）
航天飞行动力学技术国家级重点实验室科学技术基金(6142210200309,6142210200308) （6142210200309,6142210200308）
西北工业大学中央高校基本科研专项资金(3102019HTQD014) （3102019HTQD014）
