Chapman方程同伦分析方法求解研究
发布时间：2018-10-15 10:44
【摘要】：Chapman方程是再入领域的经典方程,适用于对航天器再入轨迹规律的研究,但难以得到其解析解,故提出利用同伦分析方法(HAM)求解Chapman方程解析解。将平衡滑翔再入近似解析解作为HAM的初始猜测解形式,并通过选取合适的辅助线性算子和基函数,得到Chapman方程在小升阻比下的同伦解。仿真结果表明,基于HAM得到的解析解与数值解能够很好地吻合,验证了该方法的有效性和精确性。
[Abstract]:The Chapman equation is a classical equation in the reentry field, which is suitable for the study of the reentry trajectory of spacecraft, but it is difficult to obtain its analytical solution. Therefore, the homotopy analysis method (HAM) is proposed to solve the analytical solution of the Chapman equation. The approximate analytic solution of equilibrium glide reentry is taken as the initial conjecture solution of HAM, and the homotopy solution of Chapman equation is obtained by selecting appropriate auxiliary linear operator and basis function. The simulation results show that the analytical solution based on HAM is in good agreement with the numerical solution, and the validity and accuracy of the method are verified.
【作者单位】： 西北工业大学航天学院;
【基金】：国家自然科学基金资助(11672234)
【分类号】：O175
本文编号：2272297
[Abstract]:The Chapman equation is a classical equation in the reentry field, which is suitable for the study of the reentry trajectory of spacecraft, but it is difficult to obtain its analytical solution. Therefore, the homotopy analysis method (HAM) is proposed to solve the analytical solution of the Chapman equation. The approximate analytic solution of equilibrium glide reentry is taken as the initial conjecture solution of HAM, and the homotopy solution of Chapman equation is obtained by selecting appropriate auxiliary linear operator and basis function. The simulation results show that the analytical solution based on HAM is in good agreement with the numerical solution, and the validity and accuracy of the method are verified.
【作者单位】： 西北工业大学航天学院;
【基金】：国家自然科学基金资助(11672234)
【分类号】：O175
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