conatus.expert.SphericalCoordinates

class conatus.expert.SphericalCoordinates(azimuth, colatitude, radius)

Bases: CoordinateSystem

(phi, theta, r) for the ball and the spherical shell.

Metric dr^2 + r^2 dtheta^2 + r^2 sin^2 theta dphi^2. Angular dependence: spin-weighted spherical harmonics (as S2Coordinates) with spin components (u_-, u_+, u_r); radial dependence: ShellBasis (Chebyshev, rows multiplied by a declared power of r) or BallBasis (regularity components r^(l+sigma) times Jacobi polynomials in 2r^2 - 1, regular at the centre; Vasil et al. 2019, Lecoanet et al. 2019). Nothing is ever divided by r + eps or sin(theta) + eps.

Parameters:

• azimuth (str)

• colatitude (str)

• radius (str)

kind = 'Spherical'

curvilinear = True

singularity = 'r = 0 (centre) and theta = 0, pi (poles)'

scale_factors()

Return type:

tuple

metric()

Return type:

str

regularity()

Return type:

str

explain()

Return type:

str