Sun/moon position routines for GPS trajectory calculations

Statistics – Applications

Scientific paper

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Astrodynamics, Global Positioning System, Solar Position, Subroutines, Trajectory Planning, Ephemerides, Gravitational Effects, Input/Output Routines, Moon, Nutation, Onboard Data Processing

Scientific paper

To calculate a precise trajectory for an artificial satellite, the gravitational perturbations caused by the sun and the moon must be included. For GPS satellites, the effects of sun and moon are larger than any other perturbation except that of the J2 flattening term of the earth. GPS requires an accuracy of solar and lunar angular coordinates to 2 arcsec or better. For applications where tape input is not practical, subroutines are used that calculate both the earth-centered sun and moon positions for any input data, and the nutation - the short term effect of solar and lunar attraction on the orientation of the earth in space. One such application requiring these subroutines is the Onboard Prototype Integrator (OPI), designed to permit GPS satellites to navigate autonomously. The algorithms on which the routines are based are described, and their accuracy is compared to the JPL DE 200 ephemerides.

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