【摘要】：Chapman方程是再入領(lǐng)域的經(jīng)典方程,適用于對航天器再入軌跡規(guī)律的研究,但難以得到其解析解,故提出利用同倫分析方法(HAM)求解Chapman方程解析解。將平衡滑翔再入近似解析解作為HAM的初始猜測解形式,并通過選取合適的輔助線性算子和基函數(shù),得到Chapman方程在小升阻比下的同倫解。仿真結(jié)果表明,基于HAM得到的解析解與數(shù)值解能夠很好地吻合,驗證了該方法的有效性和精確性。
[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.
【作者單位】： 西北工業(yè)大學(xué)航天學(xué)院;
【基金】：國家自然科學(xué)基金資助(11672234)
【分類號】：O175

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