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2 - Presentations and applications of GNSS orbits

Published online by Cambridge University Press:  05 March 2012

Ivan G. Petrovski  and
Toshiaki Tsujii
Ivan G. Petrovski
Affiliation:
iP-Solutions, Japan
Toshiaki Tsujii
Affiliation:
Japan Aerospace Exploration Agency
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Summary

“Therefore it is quite natural, that the Earth, being very heavy in comparison to bodies dropping free on it, stays everywhere motionless under the force from much smaller weights and as if just receives everything, which falls down on her.”

Claudius Ptolemy, Almagest, Book 1–7.

In order to use GNSS for almost any practical application or to simulate a GNSS signal, we need to be able to define satellite coordinates at any moment of time. In this chapter we look at GNSS satellite orbits. We consider their mathematical presentations and requirements of constellation design. The subject matter of this chapter in relation to other chapters is shown on Figure 2.1

Development of models for celestial body movements from Ptolemy to Einstein

Movement of satellites around the Earth is described using mathematical instruments and models which were developed for describing the movement of the planets. The first known applicable mathematical model for orbital movement of the celestial bodies was developed by Claudius Ptolemy, who was working in the first century AD in Alexandria. He created the first accurate working model of a celestial body’s motion [1].

Type
Chapter
Information
Digital Satellite Navigation and Geophysics
A Practical Guide with GNSS Signal Simulator and Receiver Laboratory
 , pp. 37 - 66
Publisher: Cambridge University Press
Print publication year: 2012

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