THE APPLICATION OF FLOQUET THEORY TO THE COMPUTATION OF SMALL ORBITAL PERTURBATIONS OVER LONG TIME INTERVALS USING THE TSCHAUNERHEMPEL EQUATIONS

Abstract

This paper deals with a method of calculating the deviation of the path of an orbiting body from a nominal or reference trajectory. The form in which the solution is cast was motivated by a particular perturbation problem. Stanford University is developing a 'drag-free', or 'dragmakeup', scientific satellite which is designed to follow a purely gravitational orbit. The satellite consists actually of two satellites: an inner sphere or proof mass, and an outer concentric shell. The relative position of the shell with respect to the inner sphere is sensed with a capacitive pickoff. The position signals command an active translation control system which fires jets mounted on the outer shell so that it chases the inner sphere without ever touching it. Thus the proof mass is shielded from gas drag and solar radiation pressure and, except for very small disturbances caused by force interactions with the outer shell, it follows a purely gravitational orbit.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1965
Accession Number
AD0624655

Entities

People

  • Benjamin O. Lange
  • Robert G. Smith

Organizations

  • Stanford University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Accelerometers
  • Artificial Satellites
  • Cartesian Coordinates
  • Coordinate Systems
  • Dead Reckoning
  • Differential Equations
  • Elliptical Orbits
  • Equations
  • Equations Of Motion
  • Gravitational Fields
  • Guidance
  • Inertial Navigation
  • Inertial Navigation Systems
  • Navigation
  • Radiation
  • Relative Motion
  • Solar Radiation

Fields of Study

  • Physics

Readers

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

Technology Areas

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