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

Table 4

Comparison for an elliptical orbit (Molniya).

Δ𝑡 (s)	Global error		RK4
	First method	Second method
1	3.7×10^−4±9.8×10^−4	8.8×10^−7±2.3×10^−5	6.2×10^−8±1.7×10^−6
10	3.6×10^−4±8.2×10^−4	5.7×10^−5±1.1×10^−3	4.0×10^−6±7.6×10^−6
30	3.5×10^−4±7.4×10^−4	2.4×10^−4±2.7×10^−3	1.7×10^−5±1.9×10^−4
60	3.4×10^−4±6.9×10^−4	5.1×10^−4±3.1×10^−3	3.6×10^−5±2.3×10^−4
300	2.7×10^−4±3.8×10^−4	1.5×10^−2±2.3×10^−1	1.6×10^−3±1.3×10^−2
600	3.5×10^−4±6.7×10^−4	4.3×10^−2±1.9×10^−1	4.6×10^−3±1.9×10^−2