PROGRAMMING OF THRUST IN A CENTRAL GRAVITATIONAL FIELD,

Abstract

A review is given of methods of reducing the MayerBolza variational problem to a boundary value problem for a system of nonlinear differential equations. Possibilities of lowering the order of this system by means of use of its first integrals are indicated. Cases of motion in planar and spherical orbits are considered. The first section contains equations of motion and conditions of stationarity for three types of thrust devices. In the second section it is shown that use of scalar and vector integrals of these equations leads the search for the Lagrange vector to a first order differential equation, one integral of which is known. Criteria of classification of types of motions are formulated with the help of constant vector in this differential equation. Introduced into consideration are orbital axes, and recording of differential equations of the problem is given in these axes.

Document Details

Document Type
Technical Report
Publication Date
May 28, 1965
Accession Number
AD0622606

Entities

People

  • A. I. Lure

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Classification
  • Computer Programming
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Gravitational Fields
  • Integrals
  • Linear Differential Equations
  • Mathematical Analysis
  • Nonlinear Differential Equations

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space