General Relativity for Planetary Navigation

This brief 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. It also shows the relationship of matrix notation to summation notation, enabling the reader to derive the mathematics used in the software in either matrix notation or summation notation.

Format: Paperback / softback
Length: 104 pages
Publication date: 01 September 2021
Publisher: Springer Nature Switzerland AG

This comprehensive guide takes a novel approach to exploring General Relativity, focusing on its application in planetary navigation. It delves into the unconventional mathematical techniques necessary to develop computer software for space missions. By providing a derivation of the Einstein field equations, the book offers a comprehensive overview of General Relativity Theory, encompassing its fundamental assumptions and experimental verification through the Near Earth Asteroid Rendezvous mission.

The software employed for planetary missions is derived from mathematics that utilize matrix notation. An alternative approach is to employ Einstein summation notation, which allows for a more compact representation of the mathematics but can make the geometry challenging to comprehend. This book aims to bridge the gap by demonstrating the relationship between matrix notation and summation notation, enabling readers to derive the mathematics used in the software using either notation.

This brief is an invaluable resource for advanced students and young professionals embarking on careers in planetary navigation. It provides a deep understanding of the mathematical foundations required for this field, equipping them with the tools necessary to excel in their endeavors.

Weight: 185g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030775452
Edition number: 1st ed. 2021