Comparison between Two Methods to Calculate the Transition Matrix of Orbit Motion

Table 3

Comparison for a circular orbit (Topex).

Δ𝑡 (s)	Global error		RK4
	First method	Second method
1	3.7×10^−3±6.0×10^−3	1.2×10^−6±1.3×10^−5	6.3×10^−8±8.9×10^−7
10	3.8×10^−3±8.3×10^−3	1.0×10^−4±5.4×10^−4	5.0×10^−6±4.0×10^−5
30	3.9×10^−3±9.5×10^−3	7.6×10^−4±2.1×10^−3	3.5×10^−5±1.4×10^−4
60	3.6×10^−3±4.9×10^−3	2.7×10^−3±5.5×10^−3	1.3×10^−4±4.0×10^−4
300	3.2×10^−3±1.7×10^−3	6.6×10^−2±1.1×10^−1	3.8×10^−3±8.2×10^−3
600	3.1×10^−3±1.4×10^−3	2.3×10^−1±2.3×10^−1	2.1×10^−2±2.5×10^−2