Accession Number : AD0619028

Title :   THE PROBLEM OF COTANGENTIAL TRANSFER,

Corporate Author : COLORADO UNIV BOULDER

Personal Author(s) : Vinh,Nguyen X.

Report Date : MAY 1965

Pagination or Media Count : 82

Abstract : Solution of the optimum cotangential transfer between two coplanar, noncoaxial, elliptical orbits is presented. The characteristic velocity is expressed explicitely in term of a single parameter. By optimizing this function with respect to the variable, a resultant equation which is a high order algebraic equation is obtained. Numerical solution can be calculated to the desired degree of accuracy. Exact analytical solutions are given for all special cases of the terminal conditions. Second order approximate solution which can be applied to a large range of missions (interplanetary transfer, transfer of a satellite from a parking orbit to a high energy elliptical orbit...) is derived and gives an excellent degree of accuracy (less than 1 ft/sec for the characteristic velocity and less than 30' for the position of transfer). (Author)

Descriptors :   (*ORBITS, GEOMETRY), (*TRANSFER TRAJECTORIES, OPTIMIZATION), (*ELLIPTICAL ORBIT TRAJECTORIES, TRANSFER TRAJECTORIES), VELOCITY, REENTRY VEHICLES, NUMERICAL ANALYSIS, ALGEBRA

Distribution Statement : APPROVED FOR PUBLIC RELEASE