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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def gmst(utc_time):
 """Greenwich mean sidereal utc_time, in radians. As defined in the AIAA 2006 implementation: http://www.celestrak.com/publications/AIAA/2006-6753/ """

    ut1 = jdays2000(utc_time) / 36525.0
    theta = 67310.54841 + ut1 * (876600 * 3600 + 8640184.812866 + ut1 *
                                 (0.093104 - ut1 * 6.2 * 10e-6))
    return np.deg2rad(theta / 240.0) % (2 * np.pi)