black_hole_math
===============

.. py:module:: luminet.black_hole_math

.. autoapi-nested-parse::

   Math routines for :cite:t:`Luminet_1979`.

   This module contains the mathematical routines to calculate the trajectory of photons around
   a Swarzschild black hole, as described in :cite:t:`Luminet_1979`.



Functions
---------

.. toctree::
   :hidden:

   calc_q </autoapi/luminet/black_hole_math/calc_q>
   calc_b_from_periastron </autoapi/luminet/black_hole_math/calc_b_from_periastron>
   calc_k </autoapi/luminet/black_hole_math/calc_k>
   calc_k_squared </autoapi/luminet/black_hole_math/calc_k_squared>
   calc_zeta_inf </autoapi/luminet/black_hole_math/calc_zeta_inf>
   calc_zeta_r </autoapi/luminet/black_hole_math/calc_zeta_r>
   calc_cos_gamma </autoapi/luminet/black_hole_math/calc_cos_gamma>
   calc_sn </autoapi/luminet/black_hole_math/calc_sn>
   calc_radius </autoapi/luminet/black_hole_math/calc_radius>
   periastron_optimization_function </autoapi/luminet/black_hole_math/periastron_optimization_function>
   solve_for_periastron </autoapi/luminet/black_hole_math/solve_for_periastron>
   solve_for_impact_parameter </autoapi/luminet/black_hole_math/solve_for_impact_parameter>
   ellipse </autoapi/luminet/black_hole_math/ellipse>
   calc_Z1 </autoapi/luminet/black_hole_math/calc_Z1>
   calc_Z2 </autoapi/luminet/black_hole_math/calc_Z2>
   calc_innermost_stable_orbit </autoapi/luminet/black_hole_math/calc_innermost_stable_orbit>
   calc_x0 </autoapi/luminet/black_hole_math/calc_x0>
   calc_f_kerr </autoapi/luminet/black_hole_math/calc_f_kerr>
   calc_flux_intrinsic_kerr </autoapi/luminet/black_hole_math/calc_flux_intrinsic_kerr>
   calc_flux_intrinsic_swarzschild </autoapi/luminet/black_hole_math/calc_flux_intrinsic_swarzschild>
   calc_flux_observed </autoapi/luminet/black_hole_math/calc_flux_observed>
   calc_redshift_factor </autoapi/luminet/black_hole_math/calc_redshift_factor>

.. autoapisummary::

   luminet.black_hole_math.calc_q
   luminet.black_hole_math.calc_b_from_periastron
   luminet.black_hole_math.calc_k
   luminet.black_hole_math.calc_k_squared
   luminet.black_hole_math.calc_zeta_inf
   luminet.black_hole_math.calc_zeta_r
   luminet.black_hole_math.calc_cos_gamma
   luminet.black_hole_math.calc_sn
   luminet.black_hole_math.calc_radius
   luminet.black_hole_math.periastron_optimization_function
   luminet.black_hole_math.solve_for_periastron
   luminet.black_hole_math.solve_for_impact_parameter
   luminet.black_hole_math.ellipse
   luminet.black_hole_math.calc_Z1
   luminet.black_hole_math.calc_Z2
   luminet.black_hole_math.calc_innermost_stable_orbit
   luminet.black_hole_math.calc_x0
   luminet.black_hole_math.calc_f_kerr
   luminet.black_hole_math.calc_flux_intrinsic_kerr
   luminet.black_hole_math.calc_flux_intrinsic_swarzschild
   luminet.black_hole_math.calc_flux_observed
   luminet.black_hole_math.calc_redshift_factor