Applications of the Hamilton - Jacobi theory to the optimisation of orbital transfer
- 作者：Popescu ; Mihai
- 刊名：Nonlinear Analysis
- 出版年：1997
- 期刊代码：43_0362546x
- 类别：mt
- 出版时间：December, 1997
- 卷：30
- 期：Part 6
- 页码：3427-3436
- 文件大小：359 K
摘要
This study presents the application of the canonic transformations theory in determining the optimal transfer problems' extremals. So we obtain a close form solution for the transfer arc problem by evaluating an undefined integral representing the complete solution in the case of elliptic motion in orbital transfer. The use of a sufficient canonicity condition allows to define an advantageous canonical transformation that involves the determination of the generating function as a solution of the Hamilton -Jacobi equation for the elliptic and parabolic cases.