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Satellite Orbit and Ephemeris Determination using Inter Satellite Links

Satellite Orbit and Ephemeris Determination using Inter Satellite Links

Satellite Orbit and Ephemeris Determination using Inter Satellite Links

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<strong>Inter</strong> <strong>Satellite</strong> <strong>Links</strong><strong>Orbit</strong> Computation250Step Width [s]20015010050RK4_HABM4_HABM8_H00 10000 20000 30000 40000 50000<strong>Orbit</strong> Altitude [km]Figure 4-13 Integration Step Width vs. <strong>Orbit</strong> AltitudeIt ca be seen that the Adams-Bashford-Moulton method of 4 th order achieves the same localerror as the 4 th order Runge-Kutta <strong>using</strong> a slightly higher step width. The step width has alinear impact on the number of function evaluations which have to be performed. The 8 thorder A-B-M method achieves much higher step widths which is not surprising regarding thehigher order. The next figure shows the number of necessary function evaluations,corresponding to the method <strong>and</strong> step width.R. Wolf Page 59

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