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K/S two-point-boundary-value problems

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Abstract

A method for developing the missing general K/S (Kustaanheimo/Stiefel) boundary conditions is presented, with use of the formalism of optimal control theory. As an illustrative example, the method is applied to the K/S Lambert problem to derive the missing terminal condition. The necessary equations are developed for a solution to this problem with the generalized eccentric anomaly,E, as the independent variable. This formulation, requiring the solution of only one nonlinear, well-behaved equation in one unknown,E, results in considerable simplification of the problem.

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References

  • Stanek, B.: 1971,Losung der Randwertaufgabe der Gestörten Keplerbewegung in Regularisierten Variablen, Eidgenossichen Technischen Hochschule, Zurich.

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  • Stiefel, E. L. and Scheifele, G.: 1971,Linear and Regular Celestial Mechanics, Springer-Verlag, New York.

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Authors and Affiliations

  1. NASA Lyndon B. Johnson Space Center, 77058, Houston, Tex., USA

    Donald J. Jezewski

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  1. Donald J. Jezewski
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Jezewski, D.J. K/S two-point-boundary-value problems. Celestial Mechanics 14, 105–111 (1976). https://doi.org/10.1007/BF01247136

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  • DOI: https://doi.org/10.1007/BF01247136

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