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`v = ((\Delta \lambda)/(lambda)) c`

599584.916

The **Speed from Light Wavelength Shift** calculator computes the relative speed of an object based on the shift in wavelength of the observed emitted light verses the normal (not shifted) wavelength of light emitted.

**INSTRUCTIONS**: Choose units and enter the following:

- (
**Δλ**) Shift in wavelength of the light emitted. - (
**λ**) Wavelength of light (normal) emitted.

**Relative Speed (v)**: The calculator returns the relative velocity in meters per second. However, this can be automatically converted to other velocity units via the pull-down menu.

For objects moving a speeds well below the speed of light there is a simple relationship between the speed of the object, the shift in the wavelength of the light emitted by the object, and the unshifted wavelength of the light (what the wavelength would be if the object were not moving). This equation computes that speed based on the other two numbers.

The formula for velocity based on light wavelength shift is:

v = (Δλ / λ) * c

where:

- v = velocity
- Δλ = shift in wavelength of light
- λ = base wavelength of light
- c = speed of light

The **Astronomy Calculator Suite** includes functions that are useful for studying astronomy and include the following:

- 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
**Mass from Luminosity****Mass from Acceleration and Radius****Mass from Speed and Separation****Mass of extra-solar planet from mass of star, radius of star orbit and radius of exoplanet orbit****Mass of extra-solar planet from mass and velocity of star and velocity of planet****Black Hole Mass Calculator****Black Hole Event Horizon Calculator**

- Relative Size Formulas
- Wavelength Formulas
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