INVESTIGATION OF THE FEASIBILITY OF SELF-CALIBRATION OF TRACKING SYSTEMS.

Abstract

The Error Model Best Estimate of Trajectory (EMBET) is derived for a tracking system measuring any linear combination of ranges and range rates. Provisions are made for the introduction of any functional statistical constraints on the coefficients of the error model. Provisions are also made for the introduction of dynamic constraints expressed either in terms of explicit functions or in terms of general differential equations of motion. A rigorous extension of EMBET to apply to a hierarchy of orbits (rather than individual trajectory points) is developed. It provides an altogether practical solution to the long standing problem of the simultaneous adjustment of all observations made by all sensors on an unlimited number of orbits or epochal intervals. This extension, called NEO-EMBET (N-Epoch Orbital EMBET), also calibrates both stable and unstable components of the error models of all observational channels while simultaneously estimating the orbital parameters at all specified epochs as well as any gravitational and drag parameters considered to be unknown.

Document Details

Document Type
Technical Report
Publication Date
May 29, 1964
Accession Number
AD0602799

Entities

People

  • Duane C. Brown
  • Jerome Sibol
  • Norman Bush

Tags

DTIC Thesaurus Topics

  • Calibration
  • Coefficients
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Hierarchies
  • Intervals
  • Mathematics
  • Observation
  • Trajectories

Readers

  • Calculus or Mathematical Analysis
  • Geodesy
  • Systems Analysis and Design

Technology Areas

  • Space
  • Space - Orbital Debris