基于开普勒二体运动修正地球扁率J_2摄动项算法

The Correction Algorithm of J_2 Perturbations of the Earth Oblateness Based on Kepler Two-Body Motion

为了解决远程飞行器虚拟目标点的地球扁率J2摄动项修正的技术难点,提出一种基于开普勒二体运动推算地球引力模型J2摄动项的间接补偿的方法。该算法由基于二体运动时间推算J2摄动项飞行时间的计算模块和基于二体运动J2摄动落点修正2个计算模块构成。通过算法设计和数学仿真验证了算法的正确性,其中仿真结果表明,该算法有效解决地球扁率造成的虚拟目标点计算精度不足的问题,在算法层面与传统的地球扁率修正方法相比具有计算简单和计算速度快等优点,同时保证虚拟目标点计算达到精度要求。

Aiming at solving the problem of J2 perturbation of the Earth oblateness of virtual landing point of flying vehicle, an indirect compensation algorithm is proposed for estimating the J2 perturbation of the Earth gravity model based on the Kepler two-body movement. The time algorithm consists of the calculation part of predicting the flying time from the body movement time and the landing point correction part. After modeling simulation, it shows that the divergence of the virtual landing point precision is effectively restrained after applying this algorithm. By comparing with traditional Earth oblateness correction method, the calculation complexity of this algorithm has been much simplified and the calculation speed is faster.