Estimation of the Anomalous Gravity Gradient via Precision Angle Tracking.

Abstract

A preliminary feasibility study was done on a proposal to estimate the anomalous gravity gradient via precision measurements between two accelerometer triads moving through a gravity field. The state equations to describe the system were developed and an Extended Kalman Filter was designed to exploit the measurement data. A simple, first-order numerical approximation was used in gradient estimation. In addition, a brief conceptualization of the hardware which might be used in an operational system of this type is included. The results indicate that the numerical ill-conditioning in the problem makes the Extended Kalman Filter a poor choice of estimator. Even after scaling variables and employing a U-D Covariance factorization update algorithm, numerical instabilities in the filter were observed. Recommendations for further work on this topic are included. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA069209

Entities

People

  • Richard Wayne Smart

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Sensors
  • Space

DTIC Thesaurus Topics

  • Computational Science
  • Computer Programs
  • Detectors
  • Differential Equations
  • Equations Of State
  • Estimators
  • Geoids
  • Guidance
  • Inertial Navigation
  • Inertial Navigation Systems
  • Kalman Filters
  • Linear Systems
  • Markov Processes
  • Mathematical Filters
  • Mathematical Models
  • Measurement
  • Navigation

Readers

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  • Geodesy
  • Theoretical Analysis.