General relativity for planetary navigation / James Miller, Connie J. Weeks.
Miller, James, author.; Weeks, Connie J., author.
2021
TL1065 .M55 2021
Available Online

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Title General relativity for planetary navigation / James Miller, Connie J. Weeks.
Author Miller, James, author.
ISBN 9783030775469 (electronic bk.)
3030775461 (electronic bk.)
9783030775452
3030775453
DOI https://doi.org/10.1007/978-3-030-77546-9
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations (some color)
Item Number 10.1007/978-3-030-77546-9 doi
Call Number TL1065 .M55 2021
Dewey Decimal Classification 629.4
Summary 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 and young professionals embarking on careers in planetary navigation.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed September 9, 2021).
Added Author Weeks, Connie J., author.
Series SpringerBriefs in space development.
Available in Other Form General relativity for planetary navigation.
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Chapter 1: Einstein Field Equations
Chapter 2: Schwarzschild Solution for Metric Tensor
Chapter 3: Comparison of Numerical Integration and Analytic Solutions
Chapter 4: General Relativity Time Delay Experiment Experimental Results.

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