TIMING SCHEDULE OPTIMIZATION FOR EARTH ORBIT

Abstract

The location times of thirty measurement points for a spacecraft in a circular, planar earth orbit are varied to minimize a cost function, the sum of the squared components of position uncertainty, at a pre-determined target. In addition, the optimum schedule of horizon references for the star-elevation measurement to be used at each point is determined with respect to the same cost function. A steepest-descent computer program was written to perform the optimization in each case. It is shown that the measurement times collect into four clusters from a nominal schedule in which they are equally spaced. A cost reduction greater than 80% is realized. The horizon-selection procedure defines certain areas along the trajectory where one or the other horizon is preferred. When carried out simultaneously with a time optimization, this procedure results in only a slight improvement over the case where a single horizon is used for each measurement.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1965
Accession Number
AD0618571

Entities

People

  • David W. Whitlow
  • John H. Fagan Jr.

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Altitude
  • Coefficients
  • Computer Programs
  • Computers
  • Cost Reductions
  • Costs
  • Covariance
  • Earth Orbits
  • Elevation
  • Equations
  • Errors
  • Measurement
  • Optimization
  • Orbits
  • Photoelectrochemical Cells
  • Procedures (Computers)
  • Trajectories

Readers

  • Geodesy
  • Life Cycle Cost Analysis
  • Operations Research

Technology Areas

  • Space
  • Space - Orbital Debris