The amendment of the optimum geometry based on four satellites

Details The amendment of the optimum geometry based on four satellites The amendment of the optimum geometry based on four satellites

Aug 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003acasn..44..310z&link_type=abstract

Acta Astronomica Sinica, vol. 44, no. 3, p. 310-317

Statistics

Applications

Celestial Mechanics, Gps, Gdop

Scientific paper

In some special GPS navigation and positioning applications, it can be synchronously obtained site's positions and clock biases from four visible satellites. The selections of these four satellites have influence on the accuracy of navigation and positioning. The minimum GDOP can be realized for four symmetric distributed satellites with respect to the sites. The GDOP is inversely proportional to the volume of the tetrahedron formed by unit vectors from sites toward the satellites. In this paper, based on the work of Kihara, the amendment of the optimum geometry on tetrahedron is discussed deeply and induced the formula of tetrahedron, it is demonstrated that is more reasonable and precisely in example.

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