import datetime
from typing import Union

from astral.julian import julianday_2000

Degrees = float


def gmst(at: Union[datetime.datetime, datetime.date]) -> Degrees:
    """Calculate Greenwich Mean Sidereal Time in degrees"""
    jd2000 = julianday_2000(at)

    t0 = jd2000 / 36525
    value = (
        280.46061837
        + 360.98564736629 * jd2000
        + 0.000387933 * pow(t0, 2)
        + pow(t0, 3) / 38710000
    )
    return value % 360


def lmst(
    at: Union[datetime.datetime, datetime.date],
    longitude: Degrees,
) -> Degrees:
    """Local Mean Sidereal Time for longitude in degrees

    Args:
        jd2000: Julian day
        longitude: Longitude in degrees
    """
    mst = gmst(at)
    mst += longitude
    return mst