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On optimal stochastic orbital transfer strategy

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Part of the Lecture Notes in Mathematics book series (LNM,volume 112)

Abstract

The optimal stochastic orbit transfer strategy is defined as the sequence of guidance corrections which will minimize a statistical measure of final error, subject to the constraint that the total correction capability expended be less than a specified number. The dynamic programming algorithm is employed to solve this problem. It is assumed that the state of the system at any time can be described by the correction capability remaining and the maximum likelihood estimates of the orbit parameters. The numerical difficulty of storing the many values of the optimized performance index corresponding to every discrete value of the state variables is overcome by representing the performance surface only in the neighborhood of local minima and by introducing the effect of the correction capability state variable constraint in a simplified way.

Keywords

  • Local Minimum
  • Performance Surface
  • Orbit Determination
  • Dynamic Programming Algorithm
  • Orbit Parameter

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Lawden, D. F., "Impulsive Transfer between Elliptical Orbits," pp. 323–351 in Leitmann, G., Optimization Techniques, Academic Press, 1962

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  2. Orford, R. J., "Optimal Stochastic Control Systems," J. Math. Anal. Appl. 6, 419–429 (1963)

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  3. Rosenbloom, A., "Final Value Systems with Total Effort Constraint," Proceedings of the First International Federation of Automatic Control (Butterworth Scientific Publications, Ltd., London, 1960)

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  4. Pfeiffer, C.G., "A Dynamic Programming Analysis of Multiple Guidance Corrections of a Trajectory," AIAA Journal, Vol. 3, No. 9 pp. 1674–1681, Sept. 1965

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  5. T. Nishimura and C.G. Pfeiffer, "A Dynamic Programming Approach to Optimal Stochastic Orbital Transfer" paper 68–872 presented at AIAA Guidance Control, and Flight Dynamics Conference, Pasadena, Calif., Aug. 14, 1968.

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© 1970 Springer-Verlag Berlin Heidelberg

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Pfeiffer, C.G. (1970). On optimal stochastic orbital transfer strategy. In: Moiseev, N.N. (eds) Colloquium on Methods of Optimization. Lecture Notes in Mathematics, vol 112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060202

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  • DOI: https://doi.org/10.1007/BFb0060202

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04901-2

  • Online ISBN: 978-3-540-36204-3

  • eBook Packages: Springer Book Archive