An application of dynamic programming to the determination of optimal satellite trajectories.

Richard Ernest Bellman, Stuart E. Dreyfus

Expert InsightsPublished 1959

A discussion of a simplified satellite trajectory problem, corresponding to a flat earth assumption, first treated by Okhotsimskii and Eneev. A numerical solution based on the functional-equation technique of dynamic programming is presented, together with a proof of the fundamental result in the analytic solution. The same computational approach can be applied to more realistic trajectory problems. 18 pp.

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Bellman, Richard Ernest and Stuart E. Dreyfus, An application of dynamic programming to the determination of optimal satellite trajectories. Santa Monica, CA: RAND Corporation, 1959. https://www.rand.org/pubs/papers/P1463.html.
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