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General relativity for planetary nav...

Miller, James.

General relativity for planetary navigation

Record Type:	Electronic resources : Monograph/item
Title/Author:	General relativity for planetary navigationby James Miller, Connie J. Weeks.
Author:	Miller, James.
other author:	Weeks, Connie J.
Published:	Cham :Springer International Publishing :2021.
Description:	vi, 104 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Navigation (Astronautics)
Online resource:	https://doi.org/10.1007/978-3-030-77546-9
ISBN:	9783030775469

General relativity for planetary navigation
Miller, James.

General relativity for planetary navigation[electronic resource] /by James Miller, Connie J. Weeks. - Cham :Springer International Publishing :2021. - vi, 104 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in space development,2191-818X. - SpringerBriefs in space development..

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.

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.

ISBN: 9783030775469

Standard No.: 10.1007/978-3-030-77546-9doiSubjects--Topical Terms:

511207
Navigation (Astronautics)

LC Class. No.: TL1065 / .M55 2021

Dewey Class. No.: 629.4

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520 $a 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.
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