Template:Solar radius calculator/doc

Template:Documentation subpage This template is primarily used by Template:T 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 Template:Solar radius.

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 Template:Solar radius is desired, use Template:Para and optional Template:Para.

Template:Para	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

Template:Tlc → Template:Solar radius calculator

AD

Template:Tlc → Template:Solar radius calculator

LT using logL

Template:Tlc → Template:Solar radius calculator

LT using L and unit

Template:Tlc → Template:Solar radius calculator

Values and calculations

All radii, once calculated, are divided by Template:Val to convert from m to Template:Solar radius.

AD

radius determined from angular diameter and distance

$\delta =206,265(d/D)\mathrm{a}\mathrm{r}\mathrm{c}\mathrm{s}\mathrm{e}\mathrm{c}\mathrm{o}\mathrm{n}\mathrm{d}\mathrm{s}⟹d=\frac{\delta *D}{206,265}⟹R=\frac{d}{2}$

D is multiplied by Template:Val 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

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

L is multiplied by Template:Val to convert from solar luminosity to watts