WEAPONS LAB (AFSC) KIRTLAND AFB NM
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Precise global clock synchronization is an integral part of the Global Positioning System GPS. GPS satellite clocks are moving with respect to surface station clocks at speeds sufficient to require consideration of special relativistic effects. GPS satellite orbit radii are large enough to be affected by the differences in gravitational potential. Gravitational changes affect clock synchronization on the same order as the special relativistic effects. A consistent treatment of both effects can only be done using special relativity. A general relativistic analysis of the GPS time transfer effects and the GPS ranging procedure is performed. A complete systematic analysis of GPS ranging relativity-produced errors is also given. Results give a firm theoretical basis for estimating the accuracy of existing GPS procedures and any future GPS changes. This is the first step in the formulation of a future relativistic covariant language for celestial mechanics problems involved in the development of a satellite-based Spacetime Common Grid SCG. A mathematical formulation of the SCG principles is given. Two mathematical techniques are evaluated for solving GPS problems with this formulation -- the world function formalism and the parameterized Post-Newton formalism.
- Navigation and Guidance
- Quantum Theory and Relativity