constants

Module containing functions for computing the constants of motion for an orbit in Kerr Spacetime. Constants of motion are computed using the method described in Appendix B of Schmidt.

Functions

angular_momentum(a, p, e, x[, E])	Computes the dimensionless angular momentum of a bound orbit with the given parameters
apex_from_constants(a, E, L, Q)	Computes the orbital parameters \((a,p,e,x)\) for a stable bound orbit with the given constants of motion
carter_constant(a, p, e, x[, E, L])	Computes the dimensionless carter constant of a bound orbit with the given parameters
constants_of_motion(a, p, e, x)	Computes the dimensionless energy, angular momentum, and Carter constant of a bound orbit with the given parameters
energy(a, p, e, x)	Computes the dimensionless energy of a bound orbit with the given parameters
fast_separatrix(a[, grid_spacing])	Constructs a faster separatrix function for a given value of \(a\) by interpolating over a grid of \(e\) and \(x\) values.
is_stable(a, p, e, x)	Tests whether or not the given orbital parameters define a stable bound orbit
plunging_radial_roots(a, E, L, Q)	Computes the radial roots for a plunging orbit.
scale_constants(constants, M, mu)	Scales the dimensionless constants of motion to the given mass parameters
separatrix(a, e, x)	Returns the value of p at the separatrix for the given orbital parameters computed using the bracked root finding method described in Stein and Warburton
stable_polar_roots(a, p, e, x[, constants])	Computes the polar roots for a stable bound orbit as defined in equation 10 of Fujita and Hikida.
stable_radial_roots(a, p, e, x[, constants])	Computes the radial roots for a stable bound orbit as defined in equation 10 of Fujita and Hikida.
valid_params(a, e, x)	Tests whether the given parameters fall into the allowed ranges