Constants with dimensions are provided with a template argument specifying the units system to use, see Unit Conversions.

Functions
template<typename units >
constexpr units::realT	mx::astro::constants::G ()
	Newton's Gravitational Constant.

template<typename units >
constexpr units::realT	mx::astro::constants::c ()
	The speed of light.

template<typename units >
constexpr units::realT	mx::astro::constants::k ()
	Boltzmann Constant.

template<typename units >
constexpr units::realT	mx::astro::constants::sigma ()
	Stefan-Boltzmann Constant.

template<typename units >
constexpr units::realT	mx::astro::constants::h ()
	Planck Constant.

template<typename units >
constexpr units::realT	mx::astro::constants::day ()
	Length of day.

template<typename units >
constexpr units::realT	mx::astro::constants::year ()
	Length of year.

template<typename units >
constexpr units::realT	mx::astro::constants::au ()
	Astronomical Unit.

template<typename units >
constexpr units::realT	mx::astro::constants::parsec ()
	The parsec.

template<typename units >
constexpr units::realT	mx::astro::constants::radSun ()
	Radius of the Sun.

template<typename units >
constexpr units::realT	mx::astro::constants::solarIrrad ()
	Solar Irradiance at 1 au.

template<typename units >
constexpr units::realT	mx::astro::constants::lumSun ()
	Luminosity of the Sun.

template<typename units >
constexpr units::realT	mx::astro::constants::TeffSun ()
	Effective Temperature of the Sun.

template<typename units >
constexpr units::realT	mx::astro::constants::GMSun ()
	Solar Mass Parameter.

template<typename units >
constexpr units::realT	mx::astro::constants::massSun ()
	Solar Mass.

template<typename units >
constexpr units::realT	mx::astro::constants::radEarth ()
	Radius of Earth (nominal equatorial)

template<typename units >
constexpr units::realT	mx::astro::constants::GMEarth ()
	Earth Mass Parameter.

template<typename units >
constexpr units::realT	mx::astro::constants::massEarth ()
	Earth Mass.

template<typename units >
constexpr units::realT	mx::astro::constants::radJupiter ()
	Radius of Jupiter (nominal equatorial)

template<typename units >
constexpr units::realT	mx::astro::constants::GMJupiter ()
	Jupiter Mass Parameter.

template<typename units >
constexpr units::realT	mx::astro::constants::massJupiter ()
	Jupiter Mass.

template<typename units >
constexpr units::realT	mx::astro::constants::mrMercury ()
	Mass ratio of Mercury to the Sun.

template<typename units >
constexpr units::realT	mx::astro::constants::massMercury ()
	Mass of Mercury.

template<typename units >
constexpr units::realT	mx::astro::constants::radVenus ()
	Radius of Mercury.

template<typename units >
constexpr units::realT	mx::astro::constants::mrMars ()
	Mass ratio of Mars to the Sun.

template<typename units >
constexpr units::realT	mx::astro::constants::massMars ()
	Mass of Mars.

template<typename units >
constexpr units::realT	mx::astro::constants::radSaturn ()
	Radius of Mars.

template<typename units >
constexpr units::realT	mx::astro::constants::mrUranus ()
	Mass ratio of Uranus to the Sun.

template<typename units >
constexpr units::realT	mx::astro::constants::massUranus ()
	Mass of Uranus.

template<typename units >
constexpr units::realT	mx::astro::constants::radNeptune ()
	Radius of Uranus.

Function Documentation

◆ au()

template<typename units >

constexpr units::realT mx::astro::constants::au ( )

constexpr

Astronomical Unit.

As defined by IAU Resolution 2012 B2

Definition at line 119 of file constants.hpp.

◆ c()

template<typename units >

constexpr units::realT mx::astro::constants::c ( )

constexpr

The speed of light.

Source: 2014 CODATA recommended values [15], http://physics.nist.gov/cuu/Constants/index.html

Definition at line 58 of file constants.hpp.

◆ day()

template<typename units >

constexpr units::realT mx::astro::constants::day ( )

constexpr

Length of day.

As defined by IAU

Definition at line 100 of file constants.hpp.

◆ G()

template<typename units >

constexpr units::realT mx::astro::constants::G ( )

constexpr

Newton's Gravitational Constant.

Source: 2014 CODATA recommended values [15], http://physics.nist.gov/cuu/Constants/index.html

Definition at line 48 of file constants.hpp.

◆ GMEarth()

template<typename units >

constexpr units::realT mx::astro::constants::GMEarth ( )

constexpr

Earth Mass Parameter.

\( GM_{e} = 3.986004 \times 10^14 \: m^3 \: s^{-2} \)

Source: IAU Resolution 2015 B2, https://www.iau.org/static/resolutions/IAU2015_English.pdf

Definition at line 223 of file constants.hpp.

◆ GMJupiter()

template<typename units >

constexpr units::realT mx::astro::constants::GMJupiter ( )

constexpr

Jupiter Mass Parameter.

\( GM_{J} = 1.2668653 \times 10^17 \: m^3 \: s^{-2} \)

Source: IAU Resolution 2015 B2, https://www.iau.org/static/resolutions/IAU2015_English.pdf

Definition at line 260 of file constants.hpp.

◆ GMSun()

template<typename units >

constexpr units::realT mx::astro::constants::GMSun ( )

constexpr

Solar Mass Parameter.

\( GM_{sun} = 1.3271244 \times 10^20 \: m^3 \: s^{-2} \)

Source: IAU Resolution 2015 B2, https://www.iau.org/static/resolutions/IAU2015_English.pdf

Definition at line 186 of file constants.hpp.

◆ h()

template<typename units >

constexpr units::realT mx::astro::constants::h ( )

constexpr

Planck Constant.

Source: 2014 CODATA recommended values [15], http://physics.nist.gov/cuu/Constants/index.html

Definition at line 91 of file constants.hpp.

◆ k()

template<typename units >

constexpr units::realT mx::astro::constants::k ( )

constexpr

Boltzmann Constant.

\( k = 1.38064852 \times 10^{-23} \: J \: K^{-1}\)

Source: 2014 CODATA recommended values [15], http://physics.nist.gov/cuu/Constants/index.html

Definition at line 69 of file constants.hpp.

◆ lumSun()

template<typename units >

constexpr units::realT mx::astro::constants::lumSun ( )

constexpr

Luminosity of the Sun.

\( L_{sun} = 3.828\times 10^{26} \: W\)

Source: IAU Resolution 2015 B2, https://www.iau.org/static/resolutions/IAU2015_English.pdf

Definition at line 162 of file constants.hpp.

◆ massEarth()

template<typename units >

constexpr units::realT mx::astro::constants::massEarth ( )

constexpr

Earth Mass.

The mass of Earth is the mass parameter divided by the gravitational constant.

\( M_{e} = GM_{e}/G \)

Definition at line 236 of file constants.hpp.

◆ massJupiter()

template<typename units >

constexpr units::realT mx::astro::constants::massJupiter ( )

constexpr

Jupiter Mass.

The mass of Jupiter is the Jupiter mass parameter divided by the gravitationalconstant".

\( M_{J} = GM_{J}/G \)

Definition at line 274 of file constants.hpp.

◆ massMars()

template<typename units >

constexpr units::realT mx::astro::constants::massMars ( )

constexpr

Mass of Mars.

The mass of Mars is the mass of the Sun divided by the mass ratio of Mars to the Sun.

Definition at line 380 of file constants.hpp.

◆ massMercury()

template<typename units >

constexpr units::realT mx::astro::constants::massMercury ( )

constexpr

Mass of Mercury.

The mass of Mercury is the mass of the Sun divided by the mass ratio of Mercury tothe Sun".

Definition at line 301 of file constants.hpp.

◆ massSun()

template<typename units >

constexpr units::realT mx::astro::constants::massSun ( )

constexpr

Solar Mass.

The mass of Sun is the Solar mass parameter divided by the graviational constant.

\( M_{Sun} = GM_{Sun}/G \)

Definition at line 199 of file constants.hpp.

◆ massUranus()

template<typename units >

constexpr units::realT mx::astro::constants::massUranus ( )

constexpr

Mass of Uranus.

The mass of Uranus is the mass of the Sun divided by the mass ratio of Uranus to the Sun.

Definition at line 458 of file constants.hpp.

◆ mrMars()

template<typename units >

constexpr units::realT mx::astro::constants::mrMars ( )

constexpr

Mass ratio of Mars to the Sun.

\( M_{Sun}/M_{Ma} = 3.09870359 \times 10^{6}\)

Source: IAU Resolution 2009 B2, https://www.iau.org/static/resolutions/IAU2009_English.pdf. see also http://maia.usno.navy.mil/NSFA/NSFA_cbe.html

Definition at line 369 of file constants.hpp.

◆ mrMercury()

template<typename units >

constexpr units::realT mx::astro::constants::mrMercury ( )

constexpr

Mass ratio of Mercury to the Sun.

\( M_{Sun}/M_{Me} = 6.023657330 \times 10^{6} \)

Source: IAU Resolution 2009 B2, https://www.iau.org/static/resolutions/IAU2009_English.pdf. see also http://maia.usno.navy.mil/NSFA/NSFA_cbe.html

Definition at line 289 of file constants.hpp.

◆ mrUranus()

template<typename units >

constexpr units::realT mx::astro::constants::mrUranus ( )

constexpr

Mass ratio of Uranus to the Sun.

\( M_{Sun}/M_{U} = 2.2902951 \times 10^{4}\)

Source: IAU Resolution 2009 B2, https://www.iau.org/static/resolutions/IAU2009_English.pdf. see also http://maia.usno.navy.mil/NSFA/NSFA_cbe.html

Definition at line 447 of file constants.hpp.

◆ parsec()

template<typename units >

constexpr units::realT mx::astro::constants::parsec ( )

constexpr

The parsec.

Definition at line 126 of file constants.hpp.

◆ radEarth()

template<typename units >

constexpr units::realT mx::astro::constants::radEarth ( )

constexpr

Radius of Earth (nominal equatorial)

\( R_{e} = 6.3781\times 10^6 \: m \)

Source: IAU Resolution 2015 B2, https://www.iau.org/static/resolutions/IAU2015_English.pdf

Definition at line 211 of file constants.hpp.

◆ radJupiter()

template<typename units >

constexpr units::realT mx::astro::constants::radJupiter ( )

constexpr

Radius of Jupiter (nominal equatorial)

\( R_{J} = 7.1492\times 10^7 \: m \)

Source: IAU Resolution 2015 B2, https://www.iau.org/static/resolutions/IAU2015_English.pdf

Definition at line 248 of file constants.hpp.

◆ radNeptune()

template<typename units >

constexpr units::realT mx::astro::constants::radNeptune ( )

constexpr

Radius of Uranus.

\( = 2.5559 \times 10^{7} Source: Seidelmann et al. (2007) \cite seidelmann_2007 */ template <typename units> constexpr typename units::realT radUranus() { return static_cast<typename units::realT>( 2.5559e7 ) * units::length; } Mass ratio of Neptune to the Sun. /** \) M_{Sun}/M_{U} = 1.941226 \times 10^{4} \( Source: IAU Resolution 2009 B2, <a href="https://www.iau.org/static/resolutions/IAU2009_English.pdf">https://www.iau.org/static/resolutions/IAU2009_English.pdf</a>. see also <a href="http://maia.usno.navy.mil/NSFA/NSFA_cbe.html">http://maia.usno.navy.mil/NSFA/NSFA_cbe.html</a> */ template <typename units> constexpr typename units::realT mrNeptune() { return static_cast<typename units::realT>( 1.941226e4 ); } Mass of Neptune. /** The mass of Neptune is the mass of the Sun divided by the mass ratio of Neptune to the Sun. */ template <typename units> constexpr typename units::realT massNeptune() { return massSun<units>() / mrNeptune<units>(); } Radius of Neptune. /** \) = 2.4764 \times 10^{7}

Source: Seidelmann et al. (2007) [23]

Definition at line 510 of file constants.hpp.

◆ radSaturn()

template<typename units >

constexpr units::realT mx::astro::constants::radSaturn ( )

constexpr

Radius of Mars.

\( = 3.39619 \times 10^{6} Source: Seidelmann et al. (2007) \cite seidelmann_2007 */ template <typename units> constexpr typename units::realT radMars() { return static_cast<typename units::realT>( 3.39619e6 ) * units::length; } Mass ratio of Saturn to the Sun. /** \) M_{Sun}/M_{Sa} = 3.4979018 \times 10^{3} \( Source: IAU Resolution 2009 B2, <a href="https://www.iau.org/static/resolutions/IAU2009_English.pdf">https://www.iau.org/static/resolutions/IAU2009_English.pdf</a>. see also <a href="http://maia.usno.navy.mil/NSFA/NSFA_cbe.html">http://maia.usno.navy.mil/NSFA/NSFA_cbe.html</a> */ template <typename units> constexpr typename units::realT mrSaturn() { return static_cast<typename units::realT>( 3.4979018e3 ); } Mass of Saturn. /** The mass of Saturn is the mass of the Sun divided by the mass ratio of Saturn to the Sun. */ template <typename units> constexpr typename units::realT massSaturn() { return massSun<units>() / mrSaturn<units>(); } Radius of Saturn. /** \) = 6.0268 \times 10^{7}

Source: Seidelmann et al. (2007) [23]

Definition at line 432 of file constants.hpp.

◆ radSun()

template<typename units >

constexpr units::realT mx::astro::constants::radSun ( )

constexpr

Radius of the Sun.

\( R_{sun} = 6.957\times 10^{8} \: m\)

Source: IAU Resolution 2015 B2, https://www.iau.org/static/resolutions/IAU2015_English.pdf

Definition at line 138 of file constants.hpp.

◆ radVenus()

template<typename units >

constexpr units::realT mx::astro::constants::radVenus ( )

constexpr

Radius of Mercury.

\( = 2.4397 \times 10^{6} Source: Seidelmann et al. (2007) \cite seidelmann_2007 */ template <typename units> constexpr typename units::realT radMercury() { return static_cast<typename units::realT>( 2.4397e6 ) * units::length; } Mass ratio of Venus to the Sun. /** \) M_{Sun}/M_{Ve} = 4.08523719 \times 10^{5} \( Source: IAU Resolution 2009 B2, <a href="https://www.iau.org/static/resolutions/IAU2009_English.pdf">https://www.iau.org/static/resolutions/IAU2009_English.pdf</a>. see also <a href="http://maia.usno.navy.mil/NSFA/NSFA_cbe.html">http://maia.usno.navy.mil/NSFA/NSFA_cbe.html</a> */ template <typename units> constexpr typename units::realT mrVenus() { return static_cast<typename units::realT>( 4.08523719e5 ); } Mass of Venus. /** The mass of Venus is the \ref massSun() "mass of the Sun" divided by the \ref mrVenus() "mass ratio of Venus to the Sun". */ template <typename units> constexpr typename units::realT massVenus() { return massSun<units>() / mrVenus<units>(); } Radius of Venus. /** \) = 6.0518 \times 10^{6}

Source: Seidelmann et al. (2007) [23]

Definition at line 354 of file constants.hpp.

◆ sigma()

template<typename units >

constexpr units::realT mx::astro::constants::sigma ( )

constexpr

Stefan-Boltzmann Constant.

\( \sigma = 5.670367 \times 10^{-8} \: W \: m^{-2} \: K^{-4} \)

Source: 2014 CODATA recommended values [15], http://physics.nist.gov/cuu/Constants/index.html

Definition at line 80 of file constants.hpp.

◆ solarIrrad()

template<typename units >

constexpr units::realT mx::astro::constants::solarIrrad ( )

constexpr

Solar Irradiance at 1 au.

\( S_{sun} = 1361 \: W \: m^{-2}\)

Source: IAU Resolution 2015 B2, https://www.iau.org/static/resolutions/IAU2015_English.pdf

Definition at line 150 of file constants.hpp.

◆ TeffSun()

template<typename units >

constexpr units::realT mx::astro::constants::TeffSun ( )

constexpr

Effective Temperature of the Sun.

\( T_{sun} = 5772 \: K \)

Source: IAU Resolution 2015 B2, https://www.iau.org/static/resolutions/IAU2015_English.pdf

Definition at line 174 of file constants.hpp.

◆ year()

template<typename units >

constexpr units::realT mx::astro::constants::year ( )

constexpr

Length of year.

As defined by IAU

Definition at line 109 of file constants.hpp.

Functions

Function Documentation

◆ au()

◆ c()

◆ day()

◆ G()

◆ GMEarth()

◆ GMJupiter()

◆ GMSun()

◆ h()

◆ k()

◆ lumSun()

◆ massEarth()

◆ massJupiter()

◆ massMars()

◆ massMercury()

◆ massSun()

◆ massUranus()

◆ mrMars()

◆ mrMercury()

◆ mrUranus()

◆ parsec()

◆ radEarth()

◆ radJupiter()

◆ radNeptune()

◆ radSaturn()

◆ radSun()

◆ radVenus()

◆ sigma()

◆ solarIrrad()

◆ TeffSun()

◆ year()