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Table 4

Largest contributing factors to the control magnitudes.

Perturbations Contributing Absolute factors Relative
CW nonlinearity N/A
Earth J2 gravity a−4 a−5rr
Earth J3 gravity (e(lp)) a−5 a−4rr
Lunisolar gravity a rr
Lunisolar gravity (e(s)) a2 a−1/2rrt
Lunisolar gravity (e(lp)) a2 a−1/2rr
Atmospheric drag ρa−1 ρa−1
Solar radiation pressure Const. Const.

Notes. For Earth J3 gravity (e(lp)) and lunisolar gravity (e(s) and e(lp)), the eccentricity originally had a contributing factor of (en2 rr) ∝ (ea−3 rr) to the relative fictitious accelerations, as shown in Sect. 4.1. Subsequently, the contributing factors were calculated by substituting the secular and long-period parts of the eccentricity for Earth J3 and lunisolar gravity into (ea−3 rr).

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