| """ |
| pyshtools constants for the planet Earth. |
| |
| Each object is an astropy Constant that possesses the attributes name, value, |
| unit, uncertainty, and reference. |
| """ |
| from types import SimpleNamespace as _SimpleNamespace |
| import numpy as _np |
|
|
| from astropy.constants import Constant as _Constant |
| from astropy.constants import G as _G |
|
|
| _a_wgs84 = _Constant( |
| abbrev='a_wgs84', |
| name='Semimajor axis of the WGS84 ellipsoid', |
| value=6378137.0, |
| unit='m', |
| uncertainty=0.0, |
| reference='National Imagery and Mapping Agency (2000). Department of ' |
| 'Defense World Geodetic System 1984: Its Definition and Relationship ' |
| 'with Local Geodetic Systems. NIMA TR8350.2, National Imagery and ' |
| 'Mapping Agency.') |
|
|
| _f_wgs84 = _Constant( |
| abbrev='f_wgs84', |
| name='Flattening of the WGS84 ellipsoid', |
| value=1/298.257223563, |
| unit='', |
| uncertainty=0.0, |
| reference='National Imagery and Mapping Agency (2000). Department of ' |
| 'Defense World Geodetic System 1984: Its Definition and Relationship ' |
| 'with Local Geodetic Systems. NIMA TR8350.2, National Imagery and ' |
| 'Mapping Agency.') |
|
|
| _gm_wgs84 = _Constant( |
| abbrev='gm_wgs84', |
| name='Gravitational constant times the mass of Earth for the ' |
| 'WGS84 geodetic reference system, including the atmosphere', |
| value=3986004.418e8, |
| unit='m3 / s2', |
| uncertainty=0.008e8, |
| reference='National Imagery and Mapping Agency (2000). Department of ' |
| 'Defense World Geodetic System 1984: Its Definition and Relationship ' |
| 'with Local Geodetic Systems. NIMA TR8350.2, National Imagery and ' |
| 'Mapping Agency.') |
|
|
| _mass_wgs84 = _Constant( |
| abbrev='mass_wgs84', |
| name='Mass of Earth for the WGS84 geodetic reference system, ' |
| 'including the atmosphere', |
| value=_gm_wgs84.value / _G.value, |
| unit='kg', |
| uncertainty=_np.sqrt((_gm_wgs84.uncertainty / _G.value)**2 + |
| (_gm_wgs84.value * _G.uncertainty / _G.value**2)**2 |
| ), |
| reference='Derived from gm_wgs84 and G.') |
|
|
| _omega_wgs84 = _Constant( |
| abbrev='omega_wgs84', |
| name='Angular rotation rate of Earth for the WGS84 geodetic reference ' |
| 'system', |
| value=7292115.0e-11, |
| unit='rad / s', |
| uncertainty=0.0, |
| reference='National Imagery and Mapping Agency (2000). Department of ' |
| 'Defense World Geodetic System 1984: Its Definition and Relationship ' |
| 'with Local Geodetic Systems. NIMA TR8350.2, National Imagery and ' |
| 'Mapping Agency.') |
|
|
| _gma_wgs84 = _Constant( |
| abbrev='gma_wgs84', |
| name="Gravitational constant times the mass of Earth's atmosphere " |
| 'for the WGS84 geodetic reference system', |
| value=3.5e8, |
| unit='m3 / s2', |
| uncertainty=0.1e8, |
| reference='National Imagery and Mapping Agency (2000). Department of ' |
| 'Defense World Geodetic System 1984: Its Definition and Relationship ' |
| 'with Local Geodetic Systems. NIMA TR8350.2, National Imagery and ' |
| 'Mapping Agency.') |
|
|
| _b_wgs84 = _Constant( |
| abbrev='b_wgs84', |
| name='Semiminor axis of the WGS84 ellipsoid', |
| value=6356752.3142, |
| unit='m', |
| uncertainty=0.0, |
| reference='National Imagery and Mapping Agency (2000). Department of ' |
| 'Defense World Geodetic System 1984: Its Definition and Relationship ' |
| 'with Local Geodetic Systems. NIMA TR8350.2, National Imagery and ' |
| 'Mapping Agency.') |
|
|
| _r3_wgs84 = _Constant( |
| abbrev='r3_wgs84', |
| name="Radius of a sphere with volume equal to that of the WGS84 " |
| 'ellipsoid', |
| value=6371000.7900, |
| unit='m', |
| uncertainty=0.0, |
| reference='National Imagery and Mapping Agency (2000). Department of ' |
| 'Defense World Geodetic System 1984: Its Definition and Relationship ' |
| 'with Local Geodetic Systems. NIMA TR8350.2, National Imagery and ' |
| 'Mapping Agency.') |
|
|
| _u0_wgs84 = _Constant( |
| abbrev='u0_wgs84', |
| name="Theoretical normal gravity potential of the WGS84 ellipsoid", |
| value=62636851.7146, |
| unit='m2 / s2', |
| uncertainty=0.0, |
| reference='National Imagery and Mapping Agency (2000). Department of ' |
| 'Defense World Geodetic System 1984: Its Definition and Relationship ' |
| 'with Local Geodetic Systems. NIMA TR8350.2, National Imagery and ' |
| 'Mapping Agency.') |
|
|
| wgs84 = _SimpleNamespace(__doc__='WGS84 geodetic reference system') |
| wgs84.a = _a_wgs84 |
| wgs84.f = _f_wgs84 |
| wgs84.gm = _gm_wgs84 |
| wgs84.mass = _mass_wgs84 |
| wgs84.omega = _omega_wgs84 |
| wgs84.gma = _gma_wgs84 |
| wgs84.b = _b_wgs84 |
| wgs84.r3 = _r3_wgs84 |
| wgs84.u0 = _u0_wgs84 |
|
|
| _gm_egm2008 = _Constant( |
| abbrev='gm_egm2008', |
| name='Gravitational constant times the mass of Earth for the model ' |
| 'EGM2008, including the atmosphere', |
| value=3986004.415e+8, |
| unit='m3 / s2', |
| uncertainty=0.0, |
| reference='Pavlis N. K., S. A. Holmes, S. C. Kenyon, and J. K. Factor ' |
| '(2012). The development and evaluation of the Earth Gravitational ' |
| 'Model 2008 (EGM2008). J. Geophys. Res., 117, B04406, ' |
| 'doi:10.1029/2011JB008916.') |
|
|
| _mass_egm2008 = _Constant( |
| abbrev='mass_egm2008', |
| name='Mass of Earth for the model EGM2008, including the atmosphere', |
| value=_gm_egm2008.value / _G.value, |
| unit='kg', |
| uncertainty=_np.sqrt((_gm_egm2008.uncertainty / _G.value)**2 + |
| (_gm_egm2008.value * _G.uncertainty / _G.value**2)**2 |
| ), |
| reference='Derived from gm_egm2008 and G.') |
|
|
| _omega_egm2008 = _Constant( |
| abbrev='omega_egm2008', |
| name='Angular spin rate of Earth for the model EGM2008', |
| value=7292115.0e-11, |
| unit='rad / s', |
| uncertainty=0.0, |
| reference='Pavlis N. K., S. A. Holmes, S. C. Kenyon, and J. K. Factor ' |
| '(2012). The development and evaluation of the Earth Gravitational ' |
| 'Model 2008 (EGM2008). J. Geophys. Res., 117, B04406, ' |
| 'doi:10.1029/2011JB008916.') |
|
|
| egm2008 = _SimpleNamespace(__doc__='EGM2008') |
| egm2008.gm = _gm_egm2008 |
| egm2008.mass = _mass_egm2008 |
| egm2008.omega = _omega_egm2008 |
|
|
| dynamical_flattening_earth = _Constant( |
| abbrev='dynamical_flattening_earth', |
| name="Dynamical flattening of the Earth", |
| value=3273795e-9, |
| unit='', |
| uncertainty=1e-9, |
| reference='Petit, G., & Luzum, B. (2010). IERS conventions (2010) ' |
| '(No. IERS-TN-36). BUREAU INTERNATIONAL DES POIDS ' |
| 'ET MESURES SEVRES (FRANCE).') |
|
|
| __all__ = [wgs84, egm2008, dynamical_flattening_earth] |
|
|
