Planetary Equilibrium Tempreture

Functions
template<typename T >
T	EGXPhys::PlanetaryEquilibriumTempreture (const T planetBondAlbedo, const T planetDistanceFromStarInm, const T starLuminosityInW, const T planetEmissivity=(T) 1.0)
	Calculates the planetary equilibrium tempreture, \(T_{eq}\) of a planet in kelvin. The planetary equilibrium tempreture is the theoretical temperature of a planet assuming it is a black body being heated only by its parent star. \[ T_{eq}=\left ( \dfrac{L (1-A)}{16 \epsilon \sigma \pi D^2} \right )^{\dfrac{1}{4}} \] . More...
template<typename T >
T	EGXPhys::PlanetaryEquilibriumTempreture (const T planetBondAlbedo, const T planetDistanceFromStarInm, const T starEffectiveSurfaceTemperatureInK, const T starRadiusInm, const T planetEmissivity=(T) 1.0)
	Calculates the planetary equilibrium tempreture, \(T_{eq}\) of a planet in kelvin. The planetary equilibrium tempreture is the theoretical temperature of a planet assuming it is a black body being heated only by its parent star. \[ T_{eq}=T_{eff} \left ( \dfrac{(1-A)}{\epsilon} \right )^{\dfrac{1}{4}} \sqrt{\dfrac{R}{2 D}} \] . More...

Detailed Description

Function Documentation

PlanetaryEquilibriumTempreture() [1/2]

template<typename T >

T EGXPhys::PlanetaryEquilibriumTempreture	(	const T	planetBondAlbedo,
		const T	planetDistanceFromStarInm,
		const T	starLuminosityInW,
		const T	planetEmissivity = (T)1.0
	)

Calculates the planetary equilibrium tempreture, \(T_{eq}\) of a planet in kelvin. The planetary equilibrium tempreture is the theoretical temperature of a planet assuming it is a black body being heated only by its parent star.

\[ T_{eq}=\left ( \dfrac{L (1-A)}{16 \epsilon \sigma \pi D^2} \right )^{\dfrac{1}{4}} \]

.

See https://en.wikipedia.org/wiki/Planetary_equilibrium_temperature and https://www.astro.princeton.edu/~strauss/FRS113/writeup3/

Parameters

planetBondAlbedo	\(A\ (dimensionless)\) Planet's bond albedo. Varies between 0-1. Earth's bond albedo is at 0.30.
planetDistanceFromStarInm	\(D\ (m)\) Distant planet is from parent star in meters.
starLuminosityInW	\(L\ (W)\) Luminosity of the parent star in watts.
planetEmissivity	\(\epsilon\ (dimensionless)\) Planet's emissivity. Varies between 0-1 but is 0.9-1.0 for a planet. Earth's emissivity is at 0.96. Defaults to 1.0.

Returns

\(T_{eq}\ (K)\) Planetary equilibrium tempreture of a planet in kelvin.

PlanetaryEquilibriumTempreture() [2/2]

template<typename T >

T EGXPhys::PlanetaryEquilibriumTempreture	(	const T	planetBondAlbedo,
		const T	planetDistanceFromStarInm,
		const T	starEffectiveSurfaceTemperatureInK,
		const T	starRadiusInm,
		const T	planetEmissivity = (T)1.0
	)

Calculates the planetary equilibrium tempreture, \(T_{eq}\) of a planet in kelvin. The planetary equilibrium tempreture is the theoretical temperature of a planet assuming it is a black body being heated only by its parent star.

\[ T_{eq}=T_{eff} \left ( \dfrac{(1-A)}{\epsilon} \right )^{\dfrac{1}{4}} \sqrt{\dfrac{R}{2 D}} \]

.

See https://en.wikipedia.org/wiki/Planetary_equilibrium_temperature and https://www.astro.princeton.edu/~strauss/FRS113/writeup3/

Parameters

planetBondAlbedo	\(A\ (dimensionless)\) Planet's bond albedo. Varies between 0-1. Earth's bond albedo is at 0.30.
planetDistanceFromStarInm	\(D\ (m)\) Distant planet is from parent star in meters.
starEffectiveSurfaceTemperatureInK	\(T_{eff}\ (K)\) Effective surface temperature of the star (black body) in kelvin. See https://en.wikipedia.org/wiki/Effective_temperature.
starRadiusInm	\(R\ (m)\) Radius of parent star in meters.
planetEmissivity	\(\epsilon\ (dimensionless)\) Planet's emissivity. Varies between 0-1 but is 0.9-1.0 for a planet. Earth's emissivity is at 0.96. Defaults to 1.0.

Returns

\(T_{eq}\ (K)\) Planetary equilibrium tempreture of a planet in kelvin.