# Difference between approach maneuvers to the insertion points of halo and Lissajous orbit?

I have read that spacecraft use two mid-course corrections to approach the Lagrange point, then do a final orbital insertion maneuver to enter into a halo orbit.

Are there any specifics about this maneuver that can be explained to me considering I did not get through Classical Mechanics in my college days, many decades ago, so a highly technical answer will be way over my head.

I understand that halo orbits are constrained to one plane where lissajous orbits are not.

Is there a distinct difference between such a maneuver for a halo orbit compared to a lissajous orbit?

• I wrote a whole answer to the title of your question before realizing that the body of your question asks about mid-course corrections and orbital maneuvers. I've added this back into your title, and added the appropriate tags. For the differences in the orbits themselves, see What is the difference between halo orbits and Lissajous orbits? where I've moved my answer.
– uhoh
Oct 22, 2018 at 3:53
• Both halos and Lissaojous' are roughly planar, though it's the planar Lyapunov orbits and their kin that are really planar. You can see a 3D plot GIF of SOHO's approach to it's true halo orbit in the question Is this what station keeping maneuvers look like, or just glitches in data? (SOHO via Horizons) as well as other goodies.
– uhoh
Oct 22, 2018 at 4:02
• – uhoh
Oct 22, 2018 at 4:19
• I thought Lissajous orbits are not planar. The Lyapunov orbit are on the same plane of the orbits of the the two bodies in question, and halo orbits are perpendicular. I read that Lissajous orbits have components in both the plane and the perpendicular. Oct 22, 2018 at 15:38
• There are planar Lyapunov orbits which are planar, and there are vertical Lyapunov orbits which are on curved surfaces, as are Lissajous and halos (which are a kind of Lissajous). In reality, using computers rather than pen and paper, a ton of completely different CR3BP orbits have been classified. It's quite a big list. See space.stackexchange.com/a/27603/12102
– uhoh
Oct 22, 2018 at 17:46