COMPUTERIZED EXPANSIONS IN ELLIPTIC MOTION

Abstract

The functions of the Keplerian elliptic motion are expanded with respect to mean anomaly and the eccentricity by applying Poincare's method of continuation in a direct manner to the equations of motion. Two algorithms are proposed; both lead to programs by which the classical expansions are constructed symbolically and automatically on a computer in double precision arithmetic. Even to as high a degree as 30 in the eccentricity, the procedures are remarkably swift. Special care is taken here in describing significant error controls at each step of the recurrences.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1967
Accession Number
AD0649611

Entities

People

  • A. Deprit
  • A. R. Rom

Organizations

  • Boeing

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Arithmetic
  • Cartesian Coordinates
  • Computational Science
  • Computers
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Fourier Series
  • Numbers
  • Orbits
  • Perturbation Theory
  • Power Series
  • Rational Numbers
  • Real Numbers
  • Symmetry

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Control Systems Engineering.
  • Space Exploration and Orbital Mechanics.