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SpringerBriefs in Space Development
cover

General Relativity for Planetary Navigation

Authors: Miller, James, Weeks, Connie J.

  • 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 

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eBook 46,00 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: August 19, 2021
  • ISBN 978-3-030-77546-9
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 57,19 €
price for Spain (gross)
  • Due: August 19, 2021
  • ISBN 978-3-030-77545-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • The final prices may differ from the prices shown due to specifics of VAT rules
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 and young professionals embarking on careers in planetary navigation.

About the authors

James Miller worked as the assistant Navigation Team Chief on the Viking Mission to Mars in 1976. In 2000, he received the Mechanics and Control of Flight medal from the AIAA for his design of the navigation system for the first orbiting and landing on the asteroid Eros. Further, he designed a trajectory to leave Earth and orbit the Moon with no propulsive maneuvers. This was the first practical solution of the four-body problem, and it has since been used on the missions Hiten, Genesis, and Grail. 

Buy this book

eBook 46,00 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: August 19, 2021
  • ISBN 978-3-030-77546-9
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 57,19 €
price for Spain (gross)
  • Due: August 19, 2021
  • ISBN 978-3-030-77545-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
General Relativity for Planetary Navigation
Authors
Series Title
SpringerBriefs in Space Development
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-77546-9
DOI
10.1007/978-3-030-77546-9
Softcover ISBN
978-3-030-77545-2
Series ISSN
2191-8171
Edition Number
1
Number of Pages
X, 150
Number of Illustrations
17 b/w illustrations, 1 illustrations in colour
Topics