Habitable Zone Composition

Functions
template<typename T >
T	EGXPhys::HabitableZoneComposition (const T planetMassInkg, const T planetMeanRadiusInm)
	Calculates the Habitable Zone Composition metric, \(HZC\), of a planet. The Habitable Zone Composition(HZC) measures how compatible for life is the bulk composition of an exoplanet within the habitable zone. It estimates both the iron and water content of the planet. \[ HZC= \dfrac{ 2\dfrac{m_p}{m_{\oplus}} - r_w - r_i } { r_w - r_i } \] \[ r_w= 4.43\ 10^{ -0.209396 + \dfrac{1}{3}\log \left ( \dfrac{m_p}{5.52 m_\oplus} \right ) - 0.0807 \left ( \dfrac{m_p}{5.52 m_\oplus} \right )^{0.375}} \] \[ r_i= 2.52\ 10^{ -0.209490 + \dfrac{1}{3}\log \left ( \dfrac{m_p}{5.80 m_\oplus} \right ) - 0.0804 \left ( \dfrac{m_p}{5.80 m_\oplus} \right )^{0.394}} \] . More...

Detailed Description

Function Documentation

HabitableZoneComposition()

template<typename T >

T EGXPhys::HabitableZoneComposition	(	const T	planetMassInkg,
		const T	planetMeanRadiusInm
	)

Calculates the Habitable Zone Composition metric, \(HZC\), of a planet. The Habitable Zone Composition(HZC) measures how compatible for life is the bulk composition of an exoplanet within the habitable zone. It estimates both the iron and water content of the planet.

\[ HZC= \dfrac{ 2\dfrac{m_p}{m_{\oplus}} - r_w - r_i } { r_w - r_i } \]

\[ r_w= 4.43\ 10^{ -0.209396 + \dfrac{1}{3}\log \left ( \dfrac{m_p}{5.52 m_\oplus} \right ) - 0.0807 \left ( \dfrac{m_p}{5.52 m_\oplus} \right )^{0.375}} \]

\[ r_i= 2.52\ 10^{ -0.209490 + \dfrac{1}{3}\log \left ( \dfrac{m_p}{5.80 m_\oplus} \right ) - 0.0804 \left ( \dfrac{m_p}{5.80 m_\oplus} \right )^{0.394}} \]

.

See http://phl.upr.edu/library/notes/habitablezonecompositionhzcahabitabilitymetricforexoplanets

Parameters

planetMassInkg	\(m_{p}\ (kg)\) Mass of the planet in kilograms.
planetMeanRadiusInm	\(r_{p}\ (m)\) Mean radius of the planet in meters.

Returns

\(HZC\ (dimensionless)\) Habitable Zone Composition metric of a planet. Results between -1 and 1 means that the planet has the potential for a habitable bulk material composition.