I have been considering if it would be possible to place a satellite in a Sun-synchronous orbit in one of the lunar frozen orbits at 86°. According to NASA scientists there are four inclinations for orbits wherein a satellite can stay in low lunar orbit indefinitely:
"There are actually a number of 'frozen orbits' where a spacecraft can stay in a low lunar orbit indefinitely. They occur at four inclinations: 27º, 50º, 76º, and 86º"—the last one being nearly over the lunar poles.
My question is whether precession would still be possible in a frozen orbit. An orbit over the lunar poles could potentially allow a continuous supply of solar energy. I believe this orbit might be possible with zero eccentricity at a bit above 200 km altitude. This is provided that the satellite can remain in the frozen orbit and would still precess due to the oblateness of the moon. However I am unsure if there might be some reason that this kind of orbital precession might not work as well since I am not very familiar with frozen orbits. I'm also unaware how long it might take for the Earth to perturb this orbit. Is a lunar Sun-synchronous orbit possible when using a frozen orbit?
I also did find an interesting way of reaching a lunar polar orbit on Hop's blog (who had directed me to this site): http://hopsblog-hop.blogspot.com/2013/08/lunar-ice-vs-neo-ice.html