A consistent numerical integration of orbit, tides, and rotation for synchronous satellites

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Table 3

S₂₂ offset producing the triaxial torque necessary to counterbalance the secular tidal torque (Eq. (61)).

	Tidal theory		From coupled model
Satellite	without libration	with libration
	S₂₂(γ = 0)[-]	$S_{22} (γ = - A \sin M) [-]$ $Mathematical equation: ${S_{22}}(\gamma = - {\cal A}\sin M)[ - ]$$	S₂₂ [-]
Moon	5.88 ∙ 10⁻¹¹	5.88 ∙ 10⁻¹¹	5.90 ∙ 10⁻¹¹
Phobos	2.99 ∙ 10⁻¹⁰	4.02 ∙ 10⁻¹⁰	3.90 ∙ 10⁻¹⁰

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