Can one hear supercontinents in the tides of ocean planets?

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Table 1

Dimensionless control parameters determining the regime of the oceanic tidal response.

Parameter	Description	Limits	Asymptotic regimes	Reference
Geometry of the ocean basin
θ_c	Size of the supercontinent	θ_c = 0°	Global ocean	Fig. 1
θ_c	Size of the supercontinent	θ_c = 180°	Dry planet	Fig. 1
	Position of the supercontinent on the globe		Polar continent	Eq. (1)
	Position of the supercontinent on the globe		Equatorial continent	Eq. (1)
Ocean dynamics
	Distortion of forced tidal waves by Coriolis forces		Sub-inertial regime	Eq. (15)
	Distortion of forced tidal waves by Coriolis forces		Super-inertial regime	Eq. (15)
	Deviation of free surface waves by Coriolis forces		Fast rotator regime	Eq. (14)
	Deviation of free surface waves by Coriolis forces		Slow rotatorregime	Eq. (14)
	Damping of Coriolis effects by friction		Quasi-adiabatic regime	Eq. (14)
	Damping of Coriolis effects by friction		Frictional regime	Eq. (14)
Solid deformation
,	Visco-elastic response of the solid part		Rigid body (with CA)	Eq. (47)
,	Visco-elastic response of the solid part	else	Solid-ocean coupling	Eq. (47)

Notes. The acronym ‘CA’ refers to the Cowling approximation (Cowling 1941), mentioned in Sect. 2.2.

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