Table 9
Test result of Moon Ephemeris Generation by Chebyshev interpolation

Interpolation order Interpolation interval (days) Maximum distance error (km) Mean distance error (km) Standard deviation (km) Data budget (byte/day) Requirements satisfaction
4 2 39.87 10.58 9.52 390 no
4 599.37 167.38 149.82 195 no
8 8,973.75 2,564.75 2,257.62 97.5 no

5 2 1.20 0.27 0.26 480 yes
4 35.48 8.50 8.12 240 no
8 1,034.67 255.56 235.32 120 no

6 2 0.06 8.27E-3 9.98E-3 570 yes
4 3.49 0.52 0.62 285 no
8 199.84 29.63 34.51 142.5 no

7 2 2.42E-3 3.10E-4 4.08E-4 660 yes
4 0.27 0.04 0.05 330 yes
8 30.21 4.26 5.35 165 no

8 2 1.22E-4 1.23E-5 1.78E-5 750 yes
4 0.03 3.02E-3 4.31E-3 375 yes
8 5.79 0.65 0.90 187.5 no