WENGERT'S NUMERICAL METHOD FOR PARTIAL DERIVATIVES, ORBIT DETERMINATION, AND QUASILINEARIZATION
RAND CORP SANTA MONICA CA
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In a recent article R. Wengert suggested a technique for machine evaluation of the partial derivatives of a function given in analytical form. In solving nonlinear boundary-value problems using quasilinearization many partial derivatives must be formed analytically and then evaluated numerically. Wengerts method appears very attractive from the programming viewpoint and permits the treatment of large systems of differential equations which might not otherwise be undertaken. In this memorandum it was shown how to apply the technique to some problems of orbit determination, though the ultimate goal is to handle much more complex problems, such as arise in adaptive control.
- Celestial Mechanics
- Numerical Mathematics