Moon

Module holding functions to handle coordinates.

class pymeeus.Moon.Moon[source]

Class Moon models Earth’s satellite.

__weakref__

list of weak references to the object (if defined)

static apparent_ecliptical_pos(epoch)[source]

This method computes the apparent geocentric ecliptical position (longitude, latitude) of the Moon for a given instant, referred to the mean equinox of the date, as well as the Moon-Earth distance in kilometers and the equatorial horizontal parallax.

Parameters:epoch (Epoch) – Instant to compute the Moon’s position, as an py:class:Epoch object
Returns:Tuple containing:
  • Apparent geocentric longitude of the center of the Moon, as an py:class:Epoch object.
  • Apparent geocentric latitude of the center of the Moon, as an py:class:Epoch object.
  • Distance in kilometers between the centers of Earth and Moon, in kilometers (float)
  • Equatorial horizontal parallax of the Moon, as an py:class:Epoch object.
Return type:tuple
Raises:TypeError if input values are of wrong type.
>>> epoch = Epoch(1992, 4, 12.0)
>>> Lambda, Beta, Delta, ppi = Moon.apparent_ecliptical_pos(epoch)
>>> print(round(Lambda, 5))
133.16726
>>> print(round(Beta, 6))
-3.229126
>>> print(round(Delta, 1))
368409.7
>>> print(round(ppi, 5))
0.99199
static apparent_equatorial_pos(epoch)[source]

This method computes the apparent equatorial position (right ascension, declination) of the Moon for a given instant, referred to the mean equinox of the date, as well as the Moon-Earth distance in kilometers and the equatorial horizontal parallax.

Parameters:epoch (Epoch) – Instant to compute the Moon’s position, as an py:class:Epoch object
Returns:Tuple containing:
  • Apparent right ascension of the center of the Moon, as an py:class:Epoch object.
  • Apparent declination of the center of the Moon, as an py:class:Epoch object.
  • Distance in kilometers between the centers of Earth and Moon, in kilometers (float)
  • Equatorial horizontal parallax of the Moon, as an py:class:Epoch object.
Return type:tuple
Raises:TypeError if input values are of wrong type.
>>> epoch = Epoch(1992, 4, 12.0)
>>> ra, dec, Delta, ppi = Moon.apparent_equatorial_pos(epoch)
>>> print(round(ra, 6))
134.688469
>>> print(round(dec, 6))
13.768367
>>> print(round(Delta, 1))
368409.7
>>> print(round(ppi, 5))
0.99199
static geocentric_ecliptical_pos(epoch)[source]

This method computes the geocentric ecliptical position (longitude, latitude) of the Moon for a given instant, referred to the mean equinox of the date, as well as the Moon-Earth distance in kilometers and the equatorial horizontal parallax.

Parameters:epoch (Epoch) – Instant to compute the Moon’s position, as an py:class:Epoch object
Returns:Tuple containing:
  • Geocentric longitude of the center of the Moon, as an py:class:Epoch object.
  • Geocentric latitude of the center of the Moon, as an py:class:Epoch object.
  • Distance in kilometers between the centers of Earth and Moon, in kilometers (float)
  • Equatorial horizontal parallax of the Moon, as an py:class:Epoch object.
Return type:tuple
Raises:TypeError if input values are of wrong type.
>>> epoch = Epoch(1992, 4, 12.0)
>>> Lambda, Beta, Delta, ppi = Moon.geocentric_ecliptical_pos(epoch)
>>> print(round(Lambda, 6))
133.162655
>>> print(round(Beta, 6))
-3.229126
>>> print(round(Delta, 1))
368409.7
>>> print(round(ppi, 5))
0.99199
pymeeus.Moon.PERIODIC_TERMS_B_TABLE = [[0, 0, 0, 1, 5128122.0], [0, 0, 1, 1, 280602.0], [0, 0, 1, -1, 277693.0], [2, 0, 0, -1, 173237.0], [2, 0, -1, 1, 55413.0], [2, 0, -1, -1, 46271.0], [2, 0, 0, 1, 32573.0], [0, 0, 2, 1, 17198.0], [2, 0, 1, -1, 9266.0], [0, 0, 2, -1, 8822.0], [2, -1, 0, -1, 8216.0], [2, 0, -2, -1, 4324.0], [2, 0, 1, 1, 4200.0], [2, 1, 0, -1, -3359.0], [2, -1, -1, 1, 2463.0], [2, -1, 0, 1, 2211.0], [2, -1, -1, -1, 2065.0], [0, 1, -1, -1, -1870.0], [4, 0, -1, -1, 1828.0], [0, 1, 0, 1, -1794.0], [0, 0, 0, 3, -1749.0], [0, 1, -1, 1, -1565.0], [1, 0, 0, 1, -1491.0], [0, 1, 1, 1, -1475.0], [0, 1, 1, -1, -1410.0], [0, 1, 0, -1, -1344.0], [1, 0, 0, -1, -1335.0], [0, 0, 3, 1, 1107.0], [4, 0, 0, -1, 1021.0], [4, 0, -1, 1, 833.0], [0, 0, 1, -3, 777.0], [4, 0, -2, 1, 671.0], [2, 0, 0, -3, 607.0], [2, 0, 2, -1, 596.0], [2, -1, 1, -1, 491.0], [2, 0, -2, 1, -451.0], [0, 0, 3, -1, 439.0], [2, 0, 2, 1, 422.0], [2, 0, -3, -1, 421.0], [2, 1, -1, 1, -366.0], [2, 1, 0, 1, -351.0], [4, 0, 0, 1, 331.0], [2, -1, 1, 1, 315.0], [2, -2, 0, -1, 302.0], [0, 0, 1, 3, -283.0], [2, 1, 1, -1, -229.0], [1, 1, 0, -1, 223.0], [1, 1, 0, 1, 223.0], [0, 1, -2, -1, -220.0], [2, 1, -1, -1, -220.0], [1, 0, 1, 1, -185.0], [2, -1, -2, -1, 181.0], [0, 1, 2, 1, -177.0], [4, 0, -2, -1, 176.0], [4, -1, -1, -1, 166.0], [1, 0, 1, -1, -164.0], [4, 0, 1, -1, 132.0], [1, 0, -1, -1, -119.0], [4, -1, 0, -1, 115.0], [2, -2, 0, 1, 107.0]]

This table contains the periodic terms for the latitude of the Moon Sigmab. Units are 0.000001 degree. In Meeus’ book this is Table 47.B and can be found in page 341.

pymeeus.Moon.PERIODIC_TERMS_LR_TABLE = [[0, 0, 1, 0, 6288774.0, -20905355.0], [2, 0, -1, 0, 1274027.0, -3699111.0], [2, 0, 0, 0, 658314.0, -2955968.0], [0, 0, 2, 0, 213618.0, -569925.0], [0, 1, 0, 0, -185116.0, 48888.0], [0, 0, 0, 2, -114332.0, -3149.0], [2, 0, -2, 0, 58793.0, 246158.0], [2, -1, -1, 0, 57066.0, -152138.0], [2, 0, 1, 0, 53322.0, -170733.0], [2, -1, 0, 0, 45758.0, -204586.0], [0, 1, -1, 0, -40923.0, -129620.0], [1, 0, 0, 0, -34720.0, 108743.0], [0, 1, 1, 0, -30383.0, 104755.0], [2, 0, 0, -2, 15327.0, 10321.0], [0, 0, 1, 2, -12528.0, 0.0], [0, 0, 1, -2, 10980.0, 79661.0], [4, 0, -1, 0, 10675.0, -34782.0], [0, 0, 3, 0, 10034.0, -23210.0], [4, 0, -2, 0, 8548.0, -21636.0], [2, 1, -1, 0, -7888.0, 24208.0], [2, 1, 0, 0, -6766.0, 30824.0], [1, 0, -1, 0, -5163.0, -8379.0], [1, 1, 0, 0, 4987.0, -16675.0], [2, -1, 1, 0, 4036.0, -12831.0], [2, 0, 2, 0, 3994.0, -10445.0], [4, 0, 0, 0, 3861.0, -11650.0], [2, 0, -3, 0, 3665.0, 14403.0], [0, 1, -2, 0, -2689.0, -7003.0], [2, 0, -1, 2, -2602.0, 0.0], [2, -1, -2, 0, 2390.0, 10056.0], [1, 0, 1, 0, -2348.0, 6322.0], [2, -2, 0, 0, 2236.0, -9884.0], [0, 1, 2, 0, -2120.0, 5751.0], [0, 2, 0, 0, -2069.0, 0.0], [2, -2, -1, 0, 2048.0, -4950.0], [2, 0, 1, -2, -1773.0, 4130.0], [2, 0, 0, 2, -1595.0, 0.0], [4, -1, -1, 0, 1215.0, -3958.0], [0, 0, 2, 2, -1110.0, 0.0], [3, 0, -1, 0, -892.0, 3258.0], [2, 1, 1, 0, -810.0, 2616.0], [4, -1, -2, 0, 759.0, -1897.0], [0, 2, -1, 0, -713.0, -2117.0], [2, 2, -1, 0, -700.0, 2354.0], [2, 1, -2, 0, 691.0, 0.0], [2, -1, 0, -2, 596.0, 0.0], [4, 0, 1, 0, 549.0, -1423.0], [0, 0, 4, 0, 537.0, -1117.0], [4, -1, 0, 0, 520.0, -1571.0], [1, 0, -2, 0, -487.0, -1739.0], [2, 1, 0, -2, -399.0, 0.0], [0, 0, 2, -2, -381.0, -4421.0], [1, 1, 1, 0, 351.0, 0.0], [3, 0, -2, 0, -340.0, 0.0], [4, 0, -3, 0, 330.0, 0.0], [2, -1, 2, 0, 327.0, 0.0], [0, 2, 1, 0, -323.0, 1165.0], [1, 1, -1, 0, 299.0, 0.0], [2, 0, 3, 0, 294.0, 0.0], [2, 0, -1, -2, 0.0, 8752.0]]

This table contains the periodic terms for the longitude (Sigmal) and distance (Sigmar) of the Moon. Units are 0.000001 degree for Sigmal, and 0.001 kilometer for Sigmar. In Meeus’ book this is Table 47.A and can be found in pages 339-340.