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# Distance from absolute and apparent magnitude

Not Reviewed

Equation / Last modified by KurtHeckman on 2019/05/10 01:35
`d = `

The **Stellar Distance Based on Magnitude** calculator computes the approximate distance to a star based on the apparent magnitude of the star (**m**) and the absolute magnitude of the star (**M**).

**INSTRUCTIONS:** Enter the following:

- (
**m**) This is the apparent magnitude of the star. - (
**M**) This is the absolute magnitude of the star.

**Stellar Distance (d):** The calculator returns the approximate distance to the star in parsecs. However, this can be automatically converted to other distance units (e.g. kilometers or light years) via the pull-down menu.

#### The Math / Science

The formula for the distance to a star based on it apparent and absolute magnitude is:

d = 10^{(m-M+5)/5}

where:

- d is the distance to the star in parsecs
- m is the apparent magnitude of the star
- M is the absolute magnitude of the star

References

#### Astronomy Calculators

- Kepler's 3
^{rd}Law formula T² = (4π • R³)/(G • M) - Small Angle Formula Small Angle Formula α = S / D
- Flux and Magnitude formulas
- Telescope formulas
- Mass formulas
- Relative Size Formulas
- Wavelength Formulas
- Luminosity and other Formulas

This equation,

**Distance from absolute and apparent magnitude**, is used in 3 calculators.**Calculators**