Method for the efficient determination of GPS satellite orbital

Details Method for the efficient determination of GPS satellite orbital Method for the efficient determination of GPS satellite orbital

1998-06-26

2000-01-18

Tarcza, Thomas H.

Communications: directive radio wave systems and devices (e.g.,

Directive

Including a satellite

34235715, 701226, H04B 7185

Patent

active

060161175

ABSTRACT:
A GPS navigation receiver which calculates the GPS satellites' positions by numerical integration. The GPS receiver of the present invention integrates over eccentric anomaly E as an independent variable rather than time, in order to use an integration method that is exact for sinusoidal motion, since the components of motion and time are sinusoidally related to the eccentric anomaly E. Using eccentric anomaly as an independent variable, the GPS receiver performs Leapfrog integration on a first sample and a second sample to determine a subsequent sample. The subsequent sample is uniformly spaced with respect to eccentric anomaly in comparison to the first sample and the second sample. The Leapfrog integration of the present invention is computationally efficient and exact over longer step sizes.

REFERENCES:
patent: 3271565 (1966-09-01), Blackman
patent: 4912475 (1990-03-01), Counselman, III

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