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

Open Access

Table 5

Secular evolution of the satellite’s semi-major axis and eccentricity caused by the tides it raises on its central planet.

	Tidal theory		From coupled model
Planet	da/dt [m/s] Eq. (56)	de/dt [-/s] Eq. (57)	da/dt [m/s]	de/dt [-/s]
Earth	1.2 ∙ 10⁻⁹	4.8 ∙ 10⁻¹⁹	1.3 ∙ 10⁻⁹	–
Mars	−1.3 ∙ 10⁻⁹	−4.6 ∙ 10⁻¹⁸	−1.3 ∙ 10⁻⁹	–

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