# spacepy.empiricals.omniFromDirectionalFlux

spacepy.empiricals.omniFromDirectionalFlux(fluxarr, alphas, norm=True)

  Calculate omnidirectional flux [(s cm^2 kev)^-1] from directional flux [(s sr cm^2 keV)^-1] array

  J = 2.pi integ(j sin(a) da) If kwarg ‘norm’ is True (default), the omni flux is normalized by 4.pi to make it per steradian, in line with the PRBEM guidelines

  Parameters
    fluxarr arraylike

      Array of directional flux values

    alphas arraylike

      Array of pitch angles corresponding to fluxarr

  Returns
    omniflux float

      Omnidirectional flux value

  Examples

  Roundtrip from omni flux, to directional flux (Vampola model), integrate to get back to omni flux.

      >>> from spacepy.empiricals import vampolaPA, omniFromDirectionalFlux
      >>> dir_flux, pa  = vampolaPA(3000, alpha=range(0,181,2), order=4)
      >>> dir_flux[:10], pa[:10]
      (array([  0.00000000e+00,   6.64032473e-04,   1.05986545e-02,
            5.34380898e-02,   1.67932162e-01,   4.06999226e-01,
            8.36427502e-01,   1.53325140e+00,   2.58383611e+00,
            4.08170975e+00]), [0, 2, 4, 6, 8, 10, 12, 14, 16, 18])
      >>> omniFromDirectionalFlux(dir_flux, pa, norm=False)
      3000.0000008112293

  Calculate “spin-averaged” flux, giving answer per steradian

      >>> omniFromDirectionalFlux(dir_flux, pa, norm=True)
      238.73241470239859