Roche Lobe Radius

The Roche Lobe Radius property of an object represents the size of the object's Roche lobe: the region around the object where smaller objects would be gravitationally bound to it, rather than to a second object in the simulation.

This is a read-only property that is automatically calculated by Universe Sandbox based on the mass of the object, m1 the mass of the second object, m2 and the distance between them, d, using
 * $$R_{roche} = 0.866 d \frac{0.49 (\frac{m_1}{m_2})^{2/3}}{0.6 (\frac{m_1}{m_2})^{1/3} + \ln{(1 + (\frac{m_1}{m_2})^{1/3})}}.$$

If there are multiple other objects in the simulation, the Roche Lobe Radius property will display the smallest Roche lobe size for this object.

Location
The Roche Lobe Radius property is located in the Tidal Effects section of the Motion tab of the object's properties panel.

Units
Roche Lobe Radius can be viewed using the following properties:
 * Milky Way Galaxy radius (milky way) = 5.5×104 light year
 * Parsec (parsec) = 3.08568025×1016 m
 * Light-year (light year) = 9.46073047×1015 m
 * Astronomical Unit (AU) = 1.495978707×1011 m
 * Solar radius (sun) = 6.955×108 m
 * Lunar distance (lunar dist) = 3.844×108 m
 * Light-second (light sec) = 2.99792458×108 m
 * Jupiter radius (jupiter) = 6.9911×107 m
 * Earth radius (earth) = 6.37101×106 m
 * Moon radius (moon) = 1.7371×106 m
 * Kilometer (km) = 1000 m
 * Meter (m) is the SI base unit for length
 * Centimeter (cm) = 0.01 m
 * Millimeter (mm) = 0.001 m