The following requires advanced astronavigation, sophisticated computer and sensor technology. The following are most applicable for low technology civilizations where kinetic energy maneuver considerations are still vital and Einstein's general-relativity still a factor.
In space one basic type of Maneuver is to insert or break orbit. It can be used for a tactical or a strategic move.
Changing orbit or breaking orbit requires energy. A transit orbit is special in that it is the imaginary border in space where a small change of kinetic energy allows a ship to fall into a lower orbit or escape a gravity well. Due to this low energy requirement, it is tactically advantageous to insert into a transit orbit.
The Rosetta orbit can cover a whole target orbit or the surface of a target planet. Its distance-time scale is large.
This variant offers the most time critical response as it can be conducted inside a planetary system e.g. inside moon orbit.
A butterfly orbit is achieved by circum-navigating around and between the L1 and L2 points.
It can be a plane orbit or out-of-plane orbit.
The Lyapunov orbit is a butterfly orbit with an extra large close orbit around the target planet.