HAMILTON'S PRINCIPAL FUNCTION FOR THE TWO-BODY PROBLEM SOLUTION

机译：两体问题解决方案的Hamilton函数

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Hamilton's principal function for the two-body problem is presented. Using Hamilton's principle and the velocity to go in the targeting problem, we are able to show that the proposed function describes the motion in the two-body problem. This allows us to automatically solve the two-point boundary value problem. With the proposed function we are also able to derive Lambert's equation from a completely different perspective.

机译：给出了两体问题的汉密尔顿主函数。使用汉密尔顿原理和速度进行瞄准问题，我们能够证明所提出的函数描述了两体问题中的运动。这使我们能够自动解决两点边值问题。利用所提出的函数，我们还能够从完全不同的角度导出兰伯特方程。

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来源
《AAS/AIAA Space Flight Mechanics Meeting; 20060122-26; Tampa,FL(US)》|2006年|1029-1044|共16页
会议地点 TampaFL(US)
作者
Oier Penagaricano Munoa; Daniel J. Scheeres;
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作者单位

Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109;

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原文格式 PDF
正文语种 eng
中图分类飞行力学;
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专利

1. Perturbation Theory for Hamilton's Principal Function [J] . O. Peñagaricano Muñoa, Daniel J. Scheeres Journal of Guidance, Control, and Dynamics . 2011,第4期

机译：汉密尔顿主函数的摄动理论
2. Perturbation Theory for Hamilton's Principal Function [J] . O. Penagaricano Munoa, Daniel J. Scheeres Journal of guidance, control, and dynamics . 2011,第4期

机译：汉密尔顿主函数的摄动理论
3. Approximate Solutions to the Hamilton-Jacobi Equations for Generating Functions [J] . HAO Zhiwei, FUJIMOTO Kenji, ZHANG Qiuhua 系统科学与复杂性：英文版 . 2020,第002期

机译：生成函数的Hamilton-Jacobi方程的近似解
4. HAMILTON'S PRINCIPAL FUNCTION FOR THE TWO-BODY PROBLEM SOLUTION [C] . Oier Penagaricano Munoa, Daniel J. Scheeres AAS/AIAA Space Flight Mechanics Meeting; 20060122-26; Tampa,FL(US) . 2006

机译：两体问题解决方案的Hamilton函数
5. A Perturbation Theory for Hamilton's Principal Function: Applications to Boundary Value Problems. [D] . Munoa, Oier Penagaricano. 2010

机译：汉密尔顿主函数的摄动理论：在边值问题上的应用。
6. Improving patient compliance with therapeutic regimens: Hamilton symposium examines the problems and solutions. [O] . W. L. Ball 1974

机译：改善患者对治疗方案的依从性：汉密尔顿研讨会讨论了这些问题和解决方案。
7. Approximate Solutions to the Hamilton-Jacobi Equations for Generating Functions with a Quadratic Cost Function with Respect to the Input [O] . Zhiwei Hao, Kenji Fujimoto 2013

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HAMILTON'S PRINCIPAL FUNCTION FOR THE TWO-BODY PROBLEM SOLUTION

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