WENGERT'S NUMERICAL METHOD FOR PARTIAL DERIVATIVES, ORBIT DETERMINATION, AND QUASILINEARIZATION

Abstract

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. Wengert's 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.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1964
Accession Number
AD0608287

Entities

People

  • Harriet H. Kagiwada
  • Richard E. Bellman
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Boundary Value Problems
  • Computer Programming
  • Computers
  • Corporations
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Linear Differential Equations
  • Procedures (Computers)
  • Test And Evaluation
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Polar and Arctic Studies
  • Systems Analysis and Design

Technology Areas

  • Space