Simple orbit determination using GPS based on a least-squares algorithm employing sequential Givens rotations
type: Item
instance of: scholarly article
title: Simple orbit determination using GPS based on a least-squares algorithm employing sequential Givens rotations
zbMATH Open document ID: 1165.70002
DOI: 10.1155/2007/49781
author: R. Vilhena de Moraes
author: Aurea Aparecida da Silva
author: Hélio Koiti Kuga
published in: Mathematical Problems in Engineering
publication date: 2008-11-24T00:00:00Z
full work available at URL: https://eudml.org/doc/55792
review text: Summary: We propose a low-cost computer procedure to determine the orbit of an artificial satellite by using short arc data from an onboard GPS receiver. Pseudoranges are used as measurements to estimate the orbit via recursive least squares method. The algorithm applies orthogonal Givens rotations for solving recursive and sequential orbit determination problems. To assess the procedure, it was applied to the TOPEX/POSEIDON satellite for data batches of one orbital period (approximately two hours), and force modelling, due to the full JGM-2 gravity field model, was considered. When compared with the reference Precision Orbit Ephemeris (POE) of JPL/NASA, the results have indicated that precision better than 9\thinspace m is easily obtained, even when short batches of data are used.
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 70M20
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 5371808
zbMATH Keywords: TOPEX/POSEIDON satellite
zbMATH Keywords: JGM-2 gravity field model
MaRDI profile type: Publication
OpenAlex ID: W1981083015
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description: scientific article; zbMATH DE number 5371808