Perturbation Theory for Hamilton's Principal Function

O. Penagaricano Munoa; Daniel J. Scheeres

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Perturbation Theory for Hamilton's Principal Function

机译：汉密尔顿主函数的摄动理论

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A perturbation theory for solving two-point boundary value problems is presented. Based on Hamilton's principle and the calculus of variations, this theory analytically solves for the velocities in the targeting problem. Applications of the theory are found primarily in the fields of orbital mechanics and optimal control. Examples showing the accuracy of the theory in the two-body problem are presented.

机译：提出了一种求解两点边值问题的摄动理论。基于汉密尔顿原理和变异演算，该理论分析性地解决了瞄准问题中的速度。该理论的应用主要在轨道力学和最优控制领域中发现。举例说明了该理论在二体问题中的准确性。

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《Journal of guidance, control, and dynamics》 |2011年第4期|p.1129-1142|共14页
作者
O. Penagaricano Munoa; Daniel J. Scheeres;
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作者单位

University of Deusto, 48007 Bilbao, Spain;

University of Colorado, Boulder, Colorado 80309;

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4. A PERTURBATION THEORY FOR HAMILTON'S PRINCIPAL FUNCTION: APPLICATIONS TO THE TWO-POINT BOUNDARY VALUE PROBLEM [C] . Oier Penagaricano Munoa, Daniel J. Scheeres AAS/AIAA Space Flight Mechanics Meeting; 20070128-0201; Sedona,AZ(US) . 2007

机译：汉密尔顿主函数的微扰理论：在两点边值问题上的应用
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。
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Perturbation Theory for Hamilton's Principal Function

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