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Looking all the good questions and answers in this site referent to CR3BP dynamics, periodic orbits, state transition matrices, etc. I wonder:

what algorithm or steps do I have to follow to find the so famous Near Rectilinear Halo Orbtis (NHROs)?.

Assume that I already know how to simulate CR3BP dynamics and basic shooting methods (that exploits the symettry of the CR3BP) to find generic halo orbits. I just want to know strategies to catch these orbits with such interesting stability properties.

Related questions include:

  1. Are (some) Halo Orbits actually Stable?

  2. What is a near rectilinear halo orbit?

  3. Why is a near rectilinear halo orbit proposed for LOP-G (formerly known as Deep Space Gateway?)

  4. How to best think of the State Transition Matrix, and how to use it to find periodic Halo orbits?

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    $\begingroup$ Not really a full answer, but I happen to know one of the people who generates NRHOs for the Orion program. Pretty sure this is one of the papers relevant to doing so. ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20170001352.pdf $\endgroup$ – Erin Anne Jul 25 '18 at 18:57
  • $\begingroup$ @Julio I've just re-read your question, slowly, all the words, all the way through ;-) It's very clear and well written and indeed I've aimed too low and mis-answered. I've deleted my answer here, and I'll use it for a different question. Deleted answers still "there" and visible to people with 10k rep. Since some can't read it, I'll repeat part of your comment: "As a matter of fact, when asking this question I was more interested in the continuation steps to specifically find NRHOs and if the stop procedure (when you have found them) is based on both qualitative and quantitative metrics?" $\endgroup$ – uhoh Aug 12 '18 at 1:11

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