ctplanet.moi

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ctplanet.moi#

ctplanet.moi(radius, rho, n, normalized=True)#

Calculate the mean, normalized, moment of inertia up to index n.

Returns:

x – The mean moment of inertia computed using a 1-D density profile. If normalized is True, the moment of inertial will be normalized by M R^2.

Return type:

float

Parameters:

  • radius (ndarray, size (n+1)) – A vector of radii, where radius[0] is the center of the planet and radius[n] is the surface.

  • rho (ndarray, size (n+1)) – A vector of densities of the layers, where rho[i] is the density between radius[i] and radius[i+1]. The density above the surface, rho[n], is set to zero. The density of the base of the crust is rho[i_crust], the density of the upper mantle is rho[i_crust-1], and the density if the upper core is rho[i_core-1].

  • n (integer) – Maximum indice of the radius to use when computing the moment of inertia.

  • normalized (bool, optional, default = True) – If True, return the mean moment of inertia normalized by M R^2, where R is radius[n] and M is the mass below radius[n].

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