Accession Number : AD0622606
Title : PROGRAMMING OF THRUST IN A CENTRAL GRAVITATIONAL FIELD,
Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
Personal Author(s) : Lure,A. I.
Report Date : 28 MAY 1965
Pagination or Media Count : 53
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.
Descriptors : (*THRUST, BOUNDARY VALUE PROBLEMS), USSR, GRAVITY, VECTOR ANALYSIS, MOMENTS, DIFFERENTIAL EQUATIONS, MATHEMATICAL PROGRAMMING, SPACECRAFT, FUNCTIONS(MATHEMATICS)
Distribution Statement : APPROVED FOR PUBLIC RELEASE