Tenth-Order Expansion Formulae for the Orbital Eccentricity Function K (sub lpq)(e) Obtained Using a Symbolic Algebraic Manipulation System.

Abstract

The development of symbolic algebraic manipulation systems for use on digital computers is a fairly recent technical innovation that has not even begun to be fully exploited. The potential for application of these systems to the nonnumeric resolution of complex problems seems boundless. The purpose of this report is to provide the results obtained from the utilization of one such state of the art system, MACSYMA, to provide high-order expansion formulae for the classical orbital eccentricity function found in celestial mechanics theory. These formulae are generally applicable to low eccentricity orbits, and the relative ease with which they were generated demonstrates MACSYMA's analytical process.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1984
Accession Number
ADA153754

Entities

People

  • A. D. Parks
  • S. C. Matney

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Artificial Satellites
  • Astronomy
  • Celestial Mechanics
  • Classification
  • Computers
  • Digital Computers
  • Eccentricity
  • Equations Of Motion
  • Intellectual Property
  • Mechanics
  • Physics
  • Physics Laboratories
  • Security
  • Space Surveillance
  • Universities

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Science.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris