AN ASYMPTOTIC SOLUTION FOR OPTIMUM POWER-LIMITED ORBIT TRANSFER.

Abstract

A complete first-order asymptotic solution was obtained for optimum power-limited transfer between coplanar elliptic orbits of arbitrary size, eccentricity, and orientation. The solution was obtained by the averaging method of Bogoliubov and Mitropolsky and corresponds to what they call 'the improved first approximation' including both secular and short-period terms. The problem for which the solution is presented corresponds to minimum-fuel transfer in fixed time of a low-thrust rocket operating at constant power and variable thrust. The average acceleration of the rocket is assumed small in relation to the acceleration of gravity. Analytic expressions were derived for the orbit elements, the payoff, and the optimum control. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1965
Accession Number
AD0623170

Entities

People

  • Theodore N. Edelbaum

Organizations

  • United Aircraft Corporation

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Eccentricity
  • Motion
  • Orientation (Direction)
  • Physical Properties

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster
  • Space - Orbital Debris