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2019 | OriginalPaper | Chapter

1. Equations of Motion

Author : James Miller

Published in: Planetary Spacecraft Navigation

Publisher: Springer International Publishing

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Abstract

The equations of motion describe the path that a spacecraft, planet, satellite, molecule, electromagnetic wave or any body will follow. In space, the path that a spacecraft follows is called a trajectory and for a planet it is called an ephemeris. For the purpose of navigation, a planet is defined as any object that orbits the sun and thus, includes comets and asteroids. A satellite is any body that orbits a planet. Flight operations are generally conducted using solutions of Newton’s equation of motion obtained by numerical integration. Analytic solutions of Newton’s equation of motion provide some insight into trajectory design and navigation analysis, but these solutions are seldom used in the conduct of flight operations. For spacecraft near the Sun and Jupiter, and for the planet ephemerides, Newton’s equations of motion are augmented with terms from the n-body solution of General Relativity.

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Metadata
Title
Equations of Motion
Author
James Miller
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-319-78916-3_1

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