On the Solution of Two-Point Boundary-Value Problems Associated with Spacecraft Trajectories,

Abstract

The problem of calculating spacecraft trajectories between fixed points in a given time is approached through Hamilton's principle, and numerical optimization methods are used to extremize the integral of the Lagrangian. The conclusion derived from this analysis is that the iteration schemes obtained in this fashion are identical with standard iteration schemes applied to the differential equations, that is, Picard iteration and Newton iteration. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1971
Accession Number
AD0732924

Entities

People

  • David G. Hull

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Integrals
  • Iterations
  • Mathematical Analysis
  • Mathematics
  • Optimization
  • Orbits
  • Spacecraft
  • Spacecraft Trajectories
  • Trajectories

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Linear Algebra

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers