# Semi-major axis

### From Conservapedia

The **semi-major axis** of any ellipse is the axis of symmetry that passes through the foci of that ellipse.

In astrophysics, the semi-major axis of an orbit is the distance between the geometric center of the orbit and either apsis. It is a commonly reported orbital element that can determine the size and shape of an orbit.

## Calculations

The semi-major axis, usually labeled *a*, is the arithmetic mean of the two apsides:

*a* = (*Q* + *q*) / 2

For this reason the semi-major axis is often cited as a "mean orbital radius."

The semi-major axis, together with the orbital eccentricity (*e*), can predict the periapsis and apoapsis:

*Q* = *a*(1 + *e*)

*q* = *a*(1 − *e*)

See orbital eccentricity for a detailed derviation