Authors:
- Explores General Relativity from a space navigation perspective
- Provides a linear progression from theory to experimental results in planetary spacecraft navigation
- Includes detailed explanations of mathematical operations involved in spaceflight, starting from first principles
Part of the book series: SpringerBriefs in Space Development (BRIEFSSPACE)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
This brief approaches General Relativity from a planetary navigation perspective, delving into the unconventional mathematical methods required to produce computer software for space missions. It provides a derivation of the Einstein field equations and describes experiments performed on the Near Earth Asteroid Rendezvous mission, spanning General Relativity Theory from the fundamental assumptions to experimental verification.
The software used for planetary missions is derived from mathematics that use matrix notation. An alternative is to use Einstein summation notation, which enables the mathematics to be presented in a compact form but makes the geometry difficult to understand. In this book, the relationship of matrix notation to summation notation is shown. The purpose is to enable the reader to derive the mathematics used in the software in either matrix notation or summation notation. This brief is a useful tool for advanced students andyoung professionals embarking on careers in planetary navigation.Keywords
- einstein field equation derivation
- NEAR space mission
- Near Earth Asteroid Rendezvous mission
- space navigation software
- space navigation theory
- Einstein summation notation
- planetary navigation mathematics
- space mission computer coding
- space mission equations
- Isotropic Schwarzschild solution
- orbit determination
- space mission optimization
- spacecraft motion equations
- asteroid navigation
Authors and Affiliations
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Porter Ranch, USA
James Miller
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Loyola Marymount University, Northridge, USA
Connie J. Weeks
About the authors
Bibliographic Information
Book Title: General Relativity for Planetary Navigation
Authors: James Miller, Connie J. Weeks
Series Title: SpringerBriefs in Space Development
DOI: https://doi.org/10.1007/978-3-030-77546-9
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-77545-2Published: 01 September 2021
eBook ISBN: 978-3-030-77546-9Published: 31 August 2021
Series ISSN: 2191-8171
Series E-ISSN: 2191-818X
Edition Number: 1
Number of Pages: VI, 104
Number of Illustrations: 17 b/w illustrations, 1 illustrations in colour
Topics: Astronomy, Astrophysics and Cosmology, Classical and Quantum Gravitation, Relativity Theory, Aerospace Technology and Astronautics