debug

    return np.array([x1, y1, z1])

def earth_angle(time_jd, x_sat, y_sat, z_sat, ra_obj, dec_obj):

# def earth_angle(time_jd, x_sat, y_sat, z_sat, ra_obj, dec_obj):

    ra_sat = np.arctan2(y_sat, x_sat) / np.pi * 180

    dec_sat = np.arctan2(z_sat, np.sqrt(x_sat**2+y_sat**2)) / np.pi * 180

    radec_sat = SkyCoord(ra=ra_sat*u.degree,

                         dec=dec_sat*u.degree, frame='gcrs')

    lb_sat = radec_sat.transform_to('geocentrictrueecliptic')

#     ra_sat = np.arctan2(y_sat, x_sat) / np.pi * 180

#     dec_sat = np.arctan2(z_sat, np.sqrt(x_sat**2+y_sat**2)) / np.pi * 180

#     radec_sat = SkyCoord(ra=ra_sat*u.degree,

#                          dec=dec_sat*u.degree, frame='gcrs')

#     lb_sat = radec_sat.transform_to('geocentrictrueecliptic')

    # get the obj location

    radec_obj = SkyCoord(ra=ra_obj*u.degree,

                         dec=dec_obj*u.degree, frame='gcrs')

    lb_obj = radec_obj.transform_to('geocentrictrueecliptic')

#     # get the obj location

#     radec_obj = SkyCoord(ra=ra_obj*u.degree,

#                          dec=dec_obj*u.degree, frame='gcrs')

#     lb_obj = radec_obj.transform_to('geocentrictrueecliptic')

    # calculate the angle between sub-satellite point and the earth side

    earth_radius = 6371     # km

    sat_height = np.sqrt(x_sat**2 + y_sat**2 + z_sat**2)

    angle_a = np.arcsin(earth_radius/sat_height) / np.pi * 180

#     # calculate the angle between sub-satellite point and the earth side

#     earth_radius = 6371     # km

#     sat_height = np.sqrt(x_sat**2 + y_sat**2 + z_sat**2)

#     angle_a = np.arcsin(earth_radius/sat_height) / np.pi * 180

    # calculate the angle between satellite position and the target position

    angle_b = lb_sat.separation(lb_obj)

#     # calculate the angle between satellite position and the target position

#     angle_b = lb_sat.separation(lb_obj)

    # calculat the earth angle

    angle = 180 - angle_a - angle_b.degree

#     # calculat the earth angle

#     angle = 180 - angle_a - angle_b.degree

    return angle

#     return angle

###############################################################################