The Barycenter calculator computes the distance from the center of the primary body to the barycenter of the two body system.
INSTRUCTIONS: Choose units and enter the following:
Barycenter (r1): The calculator returns the distance in kilometers. However this can be automatically converted to compatible units via the pull-down menu.
The distance from the center of the primary body to the barycenter equation computes the distance in a two body system based on the distance between the bodies and their two masses.
The barycenter is one of the foci of the elliptical orbit of each body. This is an important concept in the fields of astronomy, astrophysics, and the like. In a simple two-body case, r1 the distance from the center of the primary to the barycenter is given by:
r1= (a • m1)/(m1 + m2)
If a is the semi-major axis of the system, r1 is the semi-major axis of the primary's orbit around the barycenter, and r2 = a − r1 is the semi-major axis of the secondary's orbit. When the barycenter is located within the more massive body, that body will appear to "wobble" rather than to follow a discernible orbit.