GPS Satellite Position and Velocity Computation
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This solution calculates GPS satellite position and velocity through signal propagation time analysis. The computation requires satellite ephemeris data (orbital parameters) and target calculation time as primary inputs. Key implementation aspects include: atmospheric delay correction models, clock error compensation algorithms, and Keplerian orbit propagation methods. The solution employs numerical integration techniques for orbital trajectory prediction and coordinate transformation functions for Earth-Centered Earth-Fixed (ECEF) frame conversion. Calculation accuracy depends on receiver performance characteristics, signal processing algorithms, and atmospheric correction models implemented in the positioning engine. The core algorithm involves solving Kepler's equation iteratively and applying relativistic corrections to maintain sub-meter level positioning precision.
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