from __future__ import absolute_import as _absolute_import
from __future__ import division as _division
from __future__ import print_function as _print_function
import numpy as _np
from astropy.constants import Constant as _Constant
from astropy.constants import G as _G
gm_mercury = _Constant(
abbrev='gm_mercury',
name='Gravitational constant times the mass of Mercury',
value=2.2031815411154894e+13,
unit='m3 / s2',
uncertainty=1.9361909444154922e+5,
reference='ggmes_100v07: Mazarico, E., A. Genova, S. Goossens, F. G. '
'Lemoine, G. A. Neumann, M. T. Zuber, D. E. Smith, and S. C. Solomon '
'(2014), The gravity field, orientation, and ephemeris of Mercury '
'from MESSENGER observations after three years in orbit, J. Geophys. '
'Res. Planets, 119, 2417-2436, doi:10.1002/2014JE004675.')
mass_mercury = _Constant(
abbrev='mass_mercury',
name='Mass of Mercury',
value=gm_mercury.value / _G.value,
unit='kg',
uncertainty=_np.sqrt((gm_mercury.uncertainty / _G.value)**2 +
(gm_mercury.value * _G.uncertainty / _G.value**2)**2
),
reference='Derived from gm_mercury and G.')
"""
pyshtools constants for the planet Mars.
Each object is an astropy Constant that possesses the attributes name, value,
unit, uncertainty, and reference.
"""
import numpy as _np
from astropy.constants import Constant as _Constant
from astropy.constants import G as _G
gm = _Constant(
abbrev='gm_mars',
name='Gravitational constant times the mass of Mars',
value=0.4282837581575610e+14,
unit='m3 / s2',
uncertainty=0.18167460e+6,
reference='Konopliv A. S., R. S. Park, W. M. Folkner (2016). '
'An improved JPL Mars gravity field and orientation from Mars orbiter '
'and lander tracking data, Icarus, 274, 253-260, '
'doi:10.1016/j.icarus.2016.02.052')
mass = _Constant(
abbrev='mass_mars',
name='Mass of Mars',
value=gm.value / _G.value,
unit='kg',
uncertainty=_np.sqrt((gm.uncertainty / _G.value)**2 +
(gm.value * _G.uncertainty / _G.value**2)**2),
reference='Derived from gm_mars and G.')
r = _Constant(
"""
pyshtools constants for the planet Venus.
Each object is an astropy Constant that possesses the attributes name, value,
unit, uncertainty, and reference.
"""
import numpy as _np
from astropy.constants import Constant as _Constant
from astropy.constants import G as _G
gm = _Constant(
abbrev='gm_venus',
name='Gravitational constant times the mass of Venus',
value=324858592079000.,
unit='m3 / s2',
uncertainty=6376000.0,
reference='MGNP180U: Konopliv A. S., W. B. Banerdt, and W. L. Sjogren '
'(1999) Venus gravity: 180th degree and order model. Icarus 139: 3-18.'
'doi:10.1006/icar.1999.6086.')
mass = _Constant(
abbrev='mass_venus',
name='Mass of Venus',
value=gm.value / _G.value,
unit='kg',
uncertainty=_np.sqrt((gm.uncertainty / _G.value)**2 +
(gm.value * _G.uncertainty / _G.value**2)**2
),
reference='Derived from gm_venus and G.')
pyshtools constants for the planet Mercury.
Each object is an astropy Constant that possesses the attributes name, value,
unit, uncertainty, and reference.
"""
import numpy as _np
from astropy.constants import Constant as _Constant
from astropy.constants import G as _G
gm_mercury = _Constant(
abbrev='gm_mercury',
name='Gravitational constant times the mass of Mercury',
value=2.2031815411154894e+13,
unit='m3 / s2',
uncertainty=1.9361909444154922e+5,
reference='ggmes_100v07: Mazarico, E., A. Genova, S. Goossens, F. G. '
'Lemoine, G. A. Neumann, M. T. Zuber, D. E. Smith, and S. C. Solomon '
'(2014), The gravity field, orientation, and ephemeris of Mercury '
'from MESSENGER observations after three years in orbit, J. Geophys. '
'Res. Planets, 119, 2417-2436, doi:10.1002/2014JE004675.')
mass_mercury = _Constant(
abbrev='mass_mercury',
name='Mass of Mercury',
value=gm_mercury.value / _G.value,
unit='kg',
uncertainty=_np.sqrt((gm_mercury.uncertainty / _G.value)**2 +
(gm_mercury.value * _G.uncertainty / _G.value**2)**2),
reference='Derived from gm_mercury and G.')
from __future__ import absolute_import as _absolute_import
from __future__ import division as _division
from __future__ import print_function as _print_function
import numpy as _np
from astropy.constants import Constant as _Constant
from astropy.constants import G as _G
gm_moon = _Constant(
abbrev='gm_moon',
name='Gravitational constant times the mass of the Moon',
value=4902.80007e9,
unit='m3 / s2',
uncertainty=0.00014e9,
reference='Williams, J. G., A. S. Konopliv, D. H. Boggs, '
'R. S. Park, D.-N. Yuan, F. G. Lemoine, S. Goossens, E. Mazarico, '
'F. Nimmo, R. C. Weber, S. W. Asmar, H. J. Melosh, G. A. Neumann, '
'R. J. Phillips, D. E. Smith, S. C. Solomon, M. M. Watkins, M. A. '
'Wieczorek, J. C. Andrews-Hanna, J. W. Head, W. S. Kiefer, I. '
'Matsuyama, P. J. McGovern, G. J. Taylor, and M. T. Zuber (2014). '
'Lunar interior properties from the GRAIL mission, J. Geophys. Res. '
'Planets, 119, 1546-1578, doi:10.1002/2013JE004559.')
mass_moon = _Constant(
abbrev='mass_moon',
name='Mass of the Moon',
value=gm_moon.value / _G.value,
unit='kg',
uncertainty=_np.sqrt((gm_moon.uncertainty / _G.value)**2 +
(gm_moon.value * _G.uncertainty / _G.value**2)**2
),
pyshtools constants for the planet Earth.
Each object is an astropy Constant that possesses the attributes name, value,
unit, uncertainty, and reference.
"""
import numpy as _np
from astropy.constants import Constant as _Constant
from astropy.constants import G as _G
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.')
import astropy.units as _u
from astropy.constants import Constant as _Constant
####################################################
# IERS2010 Conventions
####################################################
####################################################
# Natural measurable constants
####################################################
G = _Constant(abbrev='G',
name='Constant of gravitation',
value=6.67428e-11,
unit='m**3 / (kg * s**2)',
uncertainty=6.7e-15,
reference='IERS Conventions(2010), '
'IERS Technical Note 36, '
'Verlagdes Bundesamts für Kartographie und Geodäsie, '
'Frankfurt am Main, Germany.')
####################################################
# Auxiliary defining constants
####################################################
L_G = _Constant(abbrev='L_G',
name='1 - d(TT)/d(TCG)',
value=6.969290134e-10,
unit='',
uncertainty=0,
reference='IERS Conventions(2010), '
from __future__ import absolute_import as _absolute_import
from __future__ import division as _division
from __future__ import print_function as _print_function
import numpy as _np
from astropy.constants import Constant as _Constant
from astropy.constants import G as _G
gm_moon = _Constant(
abbrev='gm_moon',
name='Gravitational constant times the mass of the Moon',
value=4902.80007e9,
unit='m3 / s2',
uncertainty=0.00014e9,
reference='Williams, J. G., A. S. Konopliv, D. H. Boggs, '
'R. S. Park, D.-N. Yuan, F. G. Lemoine, S. Goossens, E. Mazarico, '
'F. Nimmo, R. C. Weber, S. W. Asmar, H. J. Melosh, G. A. Neumann, '
'R. J. Phillips, D. E. Smith, S. C. Solomon, M. M. Watkins, M. A. '
'Wieczorek, J. C. Andrews-Hanna, J. W. Head, W. S. Kiefer, I. '
'Matsuyama, P. J. McGovern, G. J. Taylor, and M. T. Zuber (2014). '
'Lunar interior properties from the GRAIL mission, J. Geophys. Res. '
'Planets, 119, 1546-1578, doi:10.1002/2013JE004559.')
mass_moon = _Constant(
abbrev='mass_moon',
name='Mass of the Moon',
value=gm_moon.value / _G.value,
unit='kg',
uncertainty=_np.sqrt((gm_moon.uncertainty / _G.value)**2 +
(gm_moon.value * _G.uncertainty / _G.value**2)**2),
reference='Derived from gm_moon and G.')
"""
from __future__ import absolute_import as _absolute_import
from __future__ import division as _division
from __future__ import print_function as _print_function
import numpy as _np
from astropy.constants import Constant as _Constant
from astropy.constants import G as _G
gm_venus = _Constant(
abbrev='gm_venus',
name='Gravitational constant times the mass of Venus',
value=324858592079000.,
unit='m3 / s2',
uncertainty=6376000.0,
reference='MGNP180U: Konopliv A. S., W. B. Banerdt, and W. L. Sjogren '
'(1999) Venus gravity: 180th degree and order model. Icarus 139: 3-18.'
'doi:10.1006/icar.1999.6086.')
mass_venus = _Constant(
abbrev='mass_venus',
name='Mass of Venus',
value=gm_venus.value / _G.value,
unit='kg',
uncertainty=_np.sqrt((gm_venus.uncertainty / _G.value)**2 +
(gm_venus.value * _G.uncertainty / _G.value**2)**2
),
reference='Derived from gm_venus and G.')
from astropy.constants import G
from astropy.constants import g0
from astropy.constants import R_earth
from .iers2010 import GM_earth_tt as gm_earth
from .iers2010 import DEGREE2_LOVE_NUMBERS
####################################################
# Define constants
####################################################
W0_IHRF = _Constant(
abbrev='W0',
name=
'Potential of the geoid for the International Height Reference Frame(IHRF)',
value=62636853.4,
unit='m**2 / s**2',
uncertainty=0.02,
reference='IAG 2015 Resolution No.1')
####################################################
# Frequently used expressions
####################################################
# n*pi
_2pi = 2 * pi
_4pi = 4 * pi
# 2*pi*G
_2piG = _2pi * G
"""
from __future__ import absolute_import as _absolute_import
from __future__ import division as _division
from __future__ import print_function as _print_function
import numpy as _np
from astropy.constants import Constant as _Constant
from astropy.constants import G as _G
gm_mars = _Constant(
abbrev='gm_mars',
name='Gravitational constant times the mass of Mars',
value=0.4282837581575610e+14,
unit='m3 / s2',
uncertainty=0.18167460e+6,
reference='Konopliv A. S., R. S. Park, W. M. Folkner (2016). '
'An improved JPL Mars gravity field and orientation from Mars orbiter '
'and lander tracking data, Icarus, 274, 253-260, '
'doi:10.1016/j.icarus.2016.02.052')
mass_mars = _Constant(
abbrev='mass_mars',
name='Mass of Mars',
value=gm_mars.value / _G.value,
unit='kg',
uncertainty=_np.sqrt((gm_mars.uncertainty / _G.value)**2 +
(gm_mars.value * _G.uncertainty / _G.value**2)**2
),
reference='Derived from gm_mars and G.')
from __future__ import absolute_import as _absolute_import
from __future__ import division as _division
from __future__ import print_function as _print_function
import numpy as _np
from astropy.constants import Constant as _Constant
from astropy.constants import G as _G
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.')
]
# Import Moon and Sun
from pyshtools.constants.Moon import gm as gm_moon
from .iers2010 import GM_sun as gm_sun
# Import planets
from pyshtools.constants.Mars import gm as gm_mars
from pyshtools.constants.Venus import gm as gm_venus
from pyshtools.constants.Mercury import gm as gm_mercury
# Define planets
gm_jupiter = _Constant(
abbrev='gm_jupiter',
name='Gravitational constant times the mass of Jupiter',
value=126686536.1e9,
unit='m3 / s2',
uncertainty=2.7e9,
reference='Jacobson, R.A., (2013), JUP310 orbit solution.')
gm_saturn = _Constant(
abbrev='gm_saturn',
name='Gravitational constant times the mass of Saturn',
value=37931208e9,
unit='m3 / s2',
uncertainty=1e9,
reference='Jacobson, R. A., Antreasian, P. G., Bordi, J. J., '
'Criddle, K. E., Ionasescu,R., Jones, J. B., Mackenzie, R. A., '
'Pelletier, F. J., Owen Jr., W. M., Roth, D. C., and Stauch, J. R., '
'(2006), The gravity field of the Saturnian system from satellite '
'observations and spacecraft tracking data, '
