Precise Orbit Determination of Global Navigation Satellite System of ...

Chapter 5 Perturbation Models of IGSO,GEO and MEO Satellites Orbits
Table 5-4 The Effect of Geopotential Perturbation on Geostationary Satellite Orbit
(Sectorial and Tesseral Part)
(Satellite Parameters: a=42164.174km, λ=20°, i=0°)
Perturbation Force Acceleration Orbit Errors (m)
(m/sec 2 ) One Day Ten Days
2 ≤ n ≤ 10, 1≤ m≤n 6×10 -8 656 58.3 (km)
3 ≤ n ≤ 10, 1≤ m≤n 2×10 -9 12.6 1200
4 ≤ n ≤ 10, 1≤ m≤n 9×10 -10 2.15 121.9
5 ≤ n ≤ 10, 1≤ m≤n 1×10 -10 0.18 40.1
6 ≤ n ≤ 10, 1≤ m≤n 1×10 -11 0.01 0.72
7 ≤ n ≤ 10, 1≤ m≤n 4×10 -12 0.00 0.77
8 ≤ n ≤ 10, 1≤ m≤n 2×10 -13 0.00 0.05
9 ≤ n ≤ 10, 1≤ m≤n 7×10 -14 0.00 0.05
n= 10, 1≤ m≤n 3×10 -15 0.00 0.00
The detailed information on the effects of geopotential perturbation on the geostationary satellite orbit can be
seen in the following figures.
Difference (kilometer)
Difference (kilometer)
300
200
100
0
-100
-200
-300
200
150
100
50
0
-50
-100
-150
-200
dx
dy
dz
0 24 48 72 96 120
Time (hour)
144 168 192 216 240
Figure 5-14 The Effect of Geopotential Perturbation Model with 2≤ n ≤10, 0≤ m ≤n
dx
dy
dz
0 24 48 72 96 120
Time (hour)
144 168 192 216 240
Figure 5-15 The Effect of Geopotential Perturbation J 2 Term
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