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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。
In order to solve the technical difficulties of J2 plane perturbation correction for the long-range aircraft virtual target point, a method based on Keplerian two-body motion is proposed to calculate the indirect compensation for the J2 of the Earth’s gravity model. The algorithm consists of a calculation module that calculates flight time of J2 perturbation based on body motion time and two calculation modules that fix based on body motion J2. The algorithm is verified by algorithm design and mathematical simulation. The simulation results show that this algorithm can effectively solve the problem of lack of accuracy of virtual target caused by flattening of the earth. Compared with the traditional method of earth flattening correction, Simple calculation and fast calculation speed, at the same time ensure that the virtual target calculation to achieve the accuracy requirements.