A Comparison Between Numerical Differentiation and Kalman Filtering for a Leo Satellite Velocity Determination

The kinematic orbit is a time series of position vectors generally obtained from GPS observations. Velocity vector is required for satellite gravimetry application. It cannot directly be observed and should be numerically determined from position vectors. Numerical differentiation is usually employe...

Full description

Saved in:
Bibliographic Details
Published inArtificial satellites Vol. 48; no. 3; pp. 103 - 110
Main Authors Sharifi, M.A., Seif, M.R., Hadi, M.A.
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter Poland 01.09.2013
Subjects
GRACE (experiment)
Kalman filtering
Mathematical analysis
Mathematical models
Numerical differentiation
Obstacles
Satellites
Vectors (mathematics)
Online AccessGet full text

Cover

More Information
Summary:The kinematic orbit is a time series of position vectors generally obtained from GPS observations. Velocity vector is required for satellite gravimetry application. It cannot directly be observed and should be numerically determined from position vectors. Numerical differentiation is usually employed for a satellite's velocity, and acceleration determination. However, noise amplification is the single obstacle to the numerical differentiation. As an alternative, velocity vector is considered as a part of the state vector and is determined using the Kalman filter method. In this study, velocity vector is computed using the numerical differentiation (e.g., 9-point Newton interpolation scheme) and Kalman filtering for the GRACE twin satellites. The numerical results show that Kalman filtering yields more accurate results than numerical differentiation when they are compared with the intersatellite range-rate measurements.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0208-841X
1509-3859
2083-6104
DOI:10.2478/arsa-2013-0009