Research Article

Semianalytic Integration of High-Altitude Orbits under Lunisolar Effects

Table 2

Inclination coefficients 𝑝 2 , 𝑗 , 𝑘 and 𝑝 3 , 𝑗 , 𝑘 ; for brevity, we use the notation 𝛾 ( 1 ± 𝑐 ) .

𝑘 𝑝 2 , 0 , 𝑘 𝑝 2 , 2 , 𝑘 𝑝 3 , 1 , 𝑘 𝑝 3 , 3 , 𝑘

0 ( 1 / 8 ) ( 2 3 𝑠 2 ) ( 1 5 / 8 ) 𝑠 2 ( 1 5 / 6 4 ) 𝑠 ( 1 5 𝑐 2 ) ( 1 7 5 / 6 4 ) 𝑠 3
± 1 ( 3 / 4 ) 𝑐 𝑠 ( 1 5 / 4 ) 𝑠 𝛾 ( 1 5 / 2 5 6 ) 𝛾 ( 1 ± 1 0 𝑐 1 5 𝑐 2 ) ( 5 2 5 / 2 5 6 ) 𝑠 2 𝛾
± 2 ( 3 / 1 6 ) 𝑠 2 ( 1 5 / 1 6 ) 𝛾 2 ± ( 7 5 / 2 5 6 ) 𝑠 𝛾 ( 1 3 𝑐 ) ± ( 5 2 5 / 2 5 6 ) 𝑠 𝛾 2
± 2 ( 2 5 / 2 5 6 ) 𝑠 2 𝛾 ( 1 7 5 / 7 6 8 ) 𝛾 3