Accession Number : AD0607012


Title :   AN APPLICATION OF DYNAMIC PROGRAMMING TO THE DETERMINATION OF OPTIMAL SATELLITE TRAJECTORIES


Corporate Author : RAND CORP SANTA MONICA CA


Personal Author(s) : Bellman, Richard ; Dreyfus, Stuart


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/607012.pdf


Report Date : 19 Aug 1958


Pagination or Media Count : 19


Abstract : Consideration is given to a simplified satellite trajectory problem, corresponding to a flat earth assumption, first treated by Okhotsimskii and Eneev. A numerical solution is presented based upon the functional equation technique of dynamic programming. A proof of the fundamental result in the analytic solution is given. The same computational approach can be applied to more realistic trajectory problems.


Descriptors :   *ARTIFICIAL SATELLITES , *DYNAMIC PROGRAMMING , ANALYTIC GEOMETRY , FUNCTIONS(MATHEMATICS) , ITERATIONS , OPTIMIZATION , ORBITS , THRUST


Subject Categories : Unmanned Spacecraft


Distribution Statement : APPROVED FOR PUBLIC RELEASE