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Table 2

Symbols.

Symbol Meaning
G Gravitational constant
MP Planet’s mass
Ms Mass of perturbing satellite
as Semimajor axis of perturbing satellite
es Eccentricity of perturbing satellite
Ts Linear inviscid satellite torque
ϕs Satellite potential
Lvisc Viscous angular momentum luminosity
Ω Kepler frequency
ΩL Kepler frequency at r = rL
κ Epicyclic frequency
ΩZ Vertical frequency of ring particles
x = rrL Radial coordinate
Scaled radial coordinate
t Time
ωs Satellite forcing frequency in the frame rotating with ΩL
Satellite forcing frequency in the inertial frame
ω Complex frequency of overstable waves
σ Surface mass density
Scaled surface mass density
τdyn Dynamical optical depth
u, v Planar velocity components
ϕd Self-gravity potential
ϕp Planetary potential
Effective isothermal velocity dispersion
ν0 Ground state kinematic shear viscosity
p Isotropic pressure
η Dynamic shear viscosity
β Viscosity parameter
γ Constant ratio of bulk and shear viscosity
Pressure tensor
Inverse ground state Toomre-parameter
Phase variable of a fluid streamline
q Nonlinearity parameter of a fluid streamline
Δ Phase angle of a fluid streamline
a Semimajor axis of a fluid streamline
e Eccentricity of a fluid streamline

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