Table 3
Test result of Spacecraft Ephemeris Generation by Chebyshev interpolation

Interpolation order Interpolation interval (min) Maximum distance error (m) Mean distance error (m) Standard deviation (m) Data budget (byte/day) Requirements satisfaction
6 30 153.88 33.75 25.29 7,296 no
60 6,442.82 1,989.35 1,442.55 3,648 no

7 30 32.82 2.99 3.09 8,448 yes
60 923.52 240.02 196.10 4,224 no

8 30 22.02 1.44 1.75 9,600 yes
60 172.02 31.20 28.15 4,800 no

9 30 15.04 1.00 1.24 10,752 no
60 58.26 7.16 6.70 5,376 no
90 642.14 128.07 120.11 3,854 no

10 60 37.66 4.28 4.55 5,952 yes
90 212.94 32.24 28.92 3,968 no

11 60 33.82 3.34 3.54 6,528 yes
90 93.04 11.02 10.39 4,352 no

12 60 29.28 2.57 2.76 7,104 yes
90 59.18 6.78 6.70 4,736 no

13 60 22.98 1.98 2.20 7,680 yes
90 54.01 5.30 5.37 5,120 no