Moon¶
Module holding functions to handle coordinates.
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class
pymeeus.Moon.
Moon
[source]¶ Class Moon models Earth’s satellite.
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__weakref__
¶ list of weak references to the object (if defined)
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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 objectReturns: 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 value is 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
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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 objectReturns: 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 value is 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
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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 objectReturns: 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 value is 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
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static
longitude_mean_ascending_node
(epoch)[source]¶ This method computes the longitude of the mean ascending node of the Moon in degrees, for a given instant, measured from the mean equinox of the date.
Parameters: epoch ( Epoch
) – Instant to compute the Moon’s mean ascending node, as an py:class:Epoch objectReturns: The longitude of the mean ascending node. Return type: py:class:Angle Raises: TypeError if input value is of wrong type. >>> epoch = Epoch(1913, 5, 27.0) >>> Omega = Moon.longitude_mean_ascending_node(epoch) >>> print(round(Omega, 1)) 0.0 >>> epoch = Epoch(2043, 9, 10.0) >>> Omega = Moon.longitude_mean_ascending_node(epoch) >>> print(round(Omega, 1)) 0.0 >>> epoch = Epoch(1959, 12, 7.0) >>> Omega = Moon.longitude_mean_ascending_node(epoch) >>> print(round(Omega, 1)) 180.0 >>> epoch = Epoch(2108, 11, 3.0) >>> Omega = Moon.longitude_mean_ascending_node(epoch) >>> print(round(Omega, 1)) 180.0
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static
longitude_mean_perigee
(epoch)[source]¶ This method computes the longitude of the mean perigee of the lunar orbitn in degrees, for a given instant, measured from the mean equinoxi of the date.
Parameters: epoch ( Epoch
) – Instant to compute the Moon’s mean perigee, as an py:class:Epoch objectReturns: The longitude of the mean perigee. Return type: py:class:Angle Raises: TypeError if input value is of wrong type. >>> epoch = Epoch(2021, 3, 5.0) >>> Pi = Moon.longitude_mean_perigee(epoch) >>> print(round(Pi, 5)) 224.89194
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static
longitude_true_ascending_node
(epoch)[source]¶ This method computes the longitude of the true ascending node of the Moon in degrees, for a given instant, measured from the mean equinox of the date.
Parameters: epoch ( Epoch
) – Instant to compute the Moon’s true ascending node, as an py:class:Epoch objectReturns: The longitude of the true ascending node. Return type: py:class:Angle Raises: TypeError if input value is of wrong type. >>> epoch = Epoch(1913, 5, 27.0) >>> Omega = Moon.longitude_true_ascending_node(epoch) >>> print(round(Omega, 4)) 0.8763
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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.
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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.