Available ellipsoids#

These are the available ellipsoids and their corresponding defining parameters.

All ellipsoids are instances of the Ellipsoid, Sphere, or TriaxialEllipsoid classes. See the class documentations for a list their derived physical properties (attributes) and computations/transformations that they can perform (methods).

Earth#

The WGS84 (World Geodetic System 1984) ellipsoid as defined by the values given in [HofmannWellenhofMoritz2006]:

print(boule.WGS84)
Ellipsoid(name='WGS84', semimajor_axis=6378137, flattening=0.0033528106647474805, geocentric_grav_const=398600441800000.0, angular_velocity=7.292115e-05, long_name='World Geodetic System 1984', reference='Hofmann-Wellenhof, B., & Moritz, H. (2006). Physical Geodesy (2nd, corr. ed. 2006 edition ed.). Wien\u202f; New York: Springer.')

The GRS80 (Geodetic Reference System 1980) ellipsoid as defined by the values given in [HofmannWellenhofMoritz2006]:

print(boule.GRS80)
Ellipsoid(name='GRS80', semimajor_axis=6378137, flattening=0.003352810681182319, geocentric_grav_const=398600500000000.0, angular_velocity=7.292115e-05, long_name='Geodetic Reference System 1980', reference='Hofmann-Wellenhof, B., & Moritz, H. (2006). Physical Geodesy (2nd, corr. ed. 2006 edition ed.). Wien\u202f; New York: Springer.')

Moon#

The parameters of the Lunar spheroid were obtained from [Wieczorek2015]:

print(boule.MOON)
Sphere(name='MOON', radius=1737151, geocentric_grav_const=4902800070000.0, angular_velocity=2.6617073e-06, long_name='Moon Spheroid', reference='Wieczorek, MA (2015). 10.05 - Gravity and Topography of the Terrestrial Planets, Treatise of Geophysics (Second Edition); Elsevier. doi:10.1016/B978-0-444-53802-4.00169-X')

Mars#

The parameters of the Martian ellipsoid were obtained from [Ardalan2009]:

print(boule.MARS)
Ellipsoid(name='MARS', semimajor_axis=3395428, flattening=0.005227617843759314, geocentric_grav_const=42828372000000.0, angular_velocity=7.0882181e-05, long_name='Mars Ellipsoid', reference='Ardalan, A. A., Karimi, R., & Grafarend, E. W. (2009). A New Reference Equipotential Surface, and Reference Ellipsoid for the Planet Mars. Earth, Moon, and Planets, 106(1), 1. doi:10.1007/s11038-009-9342-7')

Mercury#

The parameters of the Mercurian spheroid were obtained from [Wieczorek2015]:

print(boule.MERCURY)
Sphere(name='MERCURY', radius=2439372, geocentric_grav_const=22031839221000.0, angular_velocity=1.2400172589e-06, long_name='Mercury Spheroid', reference='Wieczorek, MA (2015). 10.05 - Gravity and Topography of the Terrestrial Planets, Treatise of Geophysics (Second Edition); Elsevier. doi:10.1016/B978-0-444-53802-4.00169-X')

Venus#

The parameters of the Venusian spheroid were obtained from [Wieczorek2015]:

print(boule.VENUS)
Sphere(name='VENUS', radius=6051878, geocentric_grav_const=324858592000000.0, angular_velocity=-2.9924e-07, long_name='Venus Spheroid', reference='Wieczorek, MA (2015). 10.05 - Gravity and Topography of the Terrestrial Planets, Treatise of Geophysics (Second Edition); Elsevier. doi:10.1016/B978-0-444-53802-4.00169-X')

Vesta#

The parameters of the Vesta triaxial ellipsoid were obtained from [Russell2012]:

print(boule.VESTA)
TriaxialEllipsoid(name='VESTA', semimajor_axis=286300, semimedium_axis=278600, semiminor_axis=223200, geocentric_grav_const=17290940000.0, angular_velocity=0.00032671050958367, long_name='Vesta Triaxial Ellipsoid', reference='Russell, C. T., Raymond, C. A., Coradini, A., McSween, H. Y., Zuber, M. T., Nathues, A., et al. (2012). Dawn at Vesta: Testing the Protoplanetary Paradigm. Science. doi:10.1126/science.1219381')