Analysis of Periodic Orbits About the Martian Moons by Continuation Techniques

Abstract

From a few known periodic orbits of Phobos and Deimos, continuation techniques were used to find entire families of stable orbits. These techniques involved varying a parameter, the Hamiltonian, of the system and analyzing how the orbital behavior changed with the parameter. Floquet multipliers, for stability analysis, were also computed. AUTO86, a continuation/bifurcation software package, was used in this study. Artificial energy dissipation had to be added to the conservative Hamiltonian system to enable use of AUTO.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1990
Accession Number
ADA231026

Entities

People

  • Frank Luria

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Altitude
  • Artificial Satellites
  • Bodies
  • Circular Orbits
  • Collisions
  • Coordinate Systems
  • Differential Equations
  • Dissipation
  • Eccentricity
  • Elliptical Orbits
  • Energy
  • Equations
  • Equations Of Motion
  • Low Altitude
  • Nonlinear Systems
  • Orbits
  • Trajectories

Readers

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

Technology Areas

  • Space
  • Space - Orbital Debris