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General Relativity for Planetary Navigation

General Relativity for Planetary Navigation


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About the Book

1.0 Einstein Field Equations

1.1 Summary of General Relativity Fundamental Assumptions

1.2 Geodesic Equation

1.3 Computer Solution for Metric Tensor

1.4 Covariant Derivative of a Vector

1.5 Covariant Derivative of a Tensor

1.6 Riemann-Christoffel Tensor

1.7 Ricci Tensor

1.8 Einstein Tensor

1.9 Summary of Einsteins Theory

2.0 Schwarzschild Solution for Metric Tensor

2.1 Metric Tensor

2.2 Equations of Motion

2.3 Isotropic Schwarzschild Coordinates

3.0 Comparison of Numerical Integration and Analytic Solutions

3.1 Mercury Perihelion Shift

3.2 Radar Delay

3.3 Light Deflection

3.4 Clock Time Keeping

4.0 General Relativity Time Delay Experiment

4.1 Plane Wave Propagation Through Ionized Gas

4.2 Solar Plasma Time Delay

4.3 Troposphere Time Delay

4.4 Ionosphere Time Delay

4.5 Doppler Data

4.6 Range Data

Experimental Results
About the Author: 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.


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Product Details
  • ISBN-13: 9783030775452
  • Publisher: Springer International Publishing
  • Publisher Imprint: Springer
  • Height: 234 mm
  • No of Pages: 104
  • Series Title: Springerbriefs in Space Development
  • Weight: 222 gr
  • ISBN-10: 3030775453
  • Publisher Date: 06 Aug 2021
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Spine Width: 6 mm
  • Width: 156 mm


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