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# K3L-Separation from Mass and Period

sspickle.K3L-Separation from Mass and Period

The **Separation from Mass and Period** calculator uses Kepler's 3^{rd} law to compute the distance (**R**) between astronomical bodies (e.g. a star and exoplanet) based on the mass of the system (**M**) and the orbital period (**T**).

**INSTRUCTIONS:** Chose the preferred units and enter the following:

- (
**M**) This is the mass of the system. - (
**T**) This is the period of the orbit.

**Astronomical Separation:** The calculator returns the separation (**R**) in astronomical units (ua). However, this can be automatically converted to other distance units (e.g. meters, light seconds, minutes or years) via the pull-down menu.

#### The Math / Science

In a binary system the separation between the objects in the system depends on the mass of the system and the period of the orbit (Kepler's Third Law). This equation computes the separation given the other two values.

`R = (( (M*G)/(4pi^2)) T^2)^(1/3)`

where:

- R is the separation distance between the two objects.
- M is the total mass of the system
- T is the period of the orbit.
- G is the universal gravity constant

#### Astronomy Calculators

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

**K3L-Separation from Mass and Period**, references 1 equation/constant.

**Equations and Constants **

**K3L-Separation from Mass and Period**, is used in 4 calculators.