True longitude

In astrodynamics true longitude is the longitude at which an orbiting body could actually be found if its inclination were zero. Together with the inclination and the ascending node, the true longitude can tell us the precise direction from the central object at which the body would be located at a particular time.

Calculation

The true longitude $l\,$ can be calculated as follows:

$l=\nu + \varpi\,$

where:

• $\nu\,$ is orbit's true anomaly,
• $\varpi \equiv \omega + \Omega\,$ is the longitude of orbit's periapsis,
• $\omega\,$ is the argument of periapsis, and
• $\Omega\,$ is the longitude of the orbit's ascending node,