Template:Solar radius calculator/doc

This template is primarily used by {{list of largest stars row}} to simplify its code and allow for easier updating should values require changing. It calculates the radius of a star in comparison to the Solar radius R_☉.

Parameters

This template has one named and up to two unnamed parameters; the named parameter type determines the calculation, while the unnamed parameter(s) are the values to be input into the equation. If the unit R_☉ is desired, use |unit=yes and optional |link=y.

|type=	1	2
Rcm	Radius in cm
Rm	Radius in m
AD	angular diameter in milliarcseconds (mas)	distance in kiloparsecs
logLT	log of the luminosity	temperature in K
LT	luminosity	temperature in K

Examples

Rcm

{{Solar radius calculator|type=Rcm|1.21e14}} → 1,739

AD

{{Solar radius calculator|type=AD|11.3|1.2}} → 1,458

LT using logL

{{Solar radius calculator|type=logLT|5.64|3300}} → 2,021

LT using L and unit

{{Solar radius calculator|type=logLT|5.64|3300|unit=y}} → 2,021 R_☉

Values and calculations

All radii, once calculated, are divided by 6.957×10⁸ to convert from m to R_☉.

AD

radius determined from angular diameter and distance

$\delta =206,265~(d/D)~\mathrm {arcseconds} \Longrightarrow d={\frac {\delta *D}{206,265}}\Longrightarrow R={\frac {d}{2}}$

D is multiplied by 3.0857×10¹⁹ to convert from kpc to m

L/T_eff

radius calculated from bolometric luminosity and effective temperature per the Stefan–Boltzmann law

If $\log L$ is provided, $10^{\log L}$ is used

$L\propto R^{2}*T^{4}\Longrightarrow R={\sqrt {\frac {L*3.828\times 10^{26}}{7.125\times 10^{-7}*T^{4}}}}$

L is multiplied by 3.828×10²⁶ to convert from solar luminosity to watts