Research Article

Semianalytic Integration of High-Altitude Orbits under Lunisolar Effects

Table 6

Initial conditions in the single- (top) and double-averaged phase space (bottom) after different truncation orders 𝑛 of the semi-analytical theory. Distances are km, and angles are deg.

𝑛 2 8 5 6 0 𝑎 0 . 2 𝑒 5 6 𝑖 0 𝜔 7 2 Ω 0

4 3.06217 0.0000723 0.0014902 0.0000000 0.0000000 0.0000000
5 3.06923 0.0000722 0.0014713 −0.0016703 0.0000132 0.0016800
6 3.06073 0.0000720 0.0014808 −0.0017529 0.0000081 0.0018807
7 3.06077 0.0000720 0.0014820 −0.0017477 0.0000075 0.0018817
8 3.06085 0.0000721 0.0014819 −0.0017510 0.0000042 0.0018783

4 3.06073 0.0000453 −0.0030387 −0.0149534 −0.0027445 0.0167622
5 3.06923 0.0000431 −0.0026903 −0.0153934 −0.0028968 0.0172767
6 3.06073 0.0000432 −0.0026846 −0.0153427 −0.0029047 0.0173255
7 3.06077 0.0000432 −0.0026744 −0.0153287 −0.0028995 0.0173220
8 3.06085 0.0000433 −0.0026745 −0.0153319 −0.0029027 0.0173187