Orbit Determination as a Multipoint Boundary Value Problem and Quasilinearization

by Richard Ernest Bellman, H. H. Natsuyama, Robert E. Kalaba

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One of a continuing series of studies concerned with the capabilities of modern digital computers in solving scientific and technological problems of interest to the Air Force. Many problems in mechanics and applied mathematics in general require the solution of multipoint nonlinear boundary value problems. This Memorandum describes a computational approach to their solution, based on the idea of quasilinearization, and gives the results of an application to the computational determination of orbits.

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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