CONAN.utils.ellipsoidal_variation_signal

CONAN.utils.ellipsoidal_variation_signal#

CONAN.utils.ellipsoidal_variation_signal(phi, A_ev=0, f1_ev=0, inc_rad=1.571)#

Calculate the ellipsoidal variation signal of a planet as a function of phase angle. The equation is given as F = Aev * (1 - cos(2*phi) - f1*cos(phi) - f2*cos(3*phi)). The semi-amplitude of the ellipsoidal variation is A, f1 and f2 are fractional coefficients controlling the fundamental and second harmonics respectively. see eq.8 of Esteves+2013 (https://iopscience.iop.org/article/10.1088/0004-637X/772/1/51)

Parameters:

  • phi (array-like) – phase angle (2*pi*phase for circular orbit) or true anomaly+omega-pi/2 in radians.

  • A_ev (float) – semi-amplitude of the ellipsoidal variation signal

  • f1_ev (float) – fractional coefficient controlling the fundamental harmonic

  • inc_rad (float) – inclination of the planet orbit in radians. Default is 1.571 (90 degrees)

Returns:

F_ev – ellipsoidal variation signal as a function of phase

Return type:

array-like

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