General Relativity for Planetary Navigation (Paperback)

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

3.3  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