[HN Gopher] Novel Stable and Low-Energy Earth-Moon Cycle Orbits ...
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       Novel Stable and Low-Energy Earth-Moon Cycle Orbits [pdf]
        
       Author : mmastrac
       Score  : 19 points
       Date   : 2025-10-06 14:51 UTC (8 hours ago)
        
 (HTM) web link (ross.aoe.vt.edu)
 (TXT) w3m dump (ross.aoe.vt.edu)
        
       | araes wrote:
       | Cool paper. No propulsion, stable, cyclic orbits between the moon
       | and Earth, with times of 45 days (1,1), 84 days (2,1), 64 days
       | (3,1), and 74 days (3,2). Also, (3,3) were identified with no
       | findable timeframes shown.
       | 
       | All the orbits are also somewhat relaxed, with relatively large
       | windows of acceptable trajectories and distances for the later
       | families. Perilune altitudes ranging from 750 km to over 6,000
       | km. The (1,1) and (2,1) are somewhat restrictive (0.1 km).
       | 
       | Makes a lot of interactions with the moon, exploration, resupply
       | much less severe. It looks like you can leave Earth, at ~0.4 or
       | ~0.6 moon orbit radius, doing some relatively low velocity, and
       | hit a stable resonance orbit. You just have to stay out of GEO
       | satellite orbit window where Earth is the dominant gravitation.
       | 
       | Also, may imply that such orbits exist with pretty much every
       | single moon around every single planet. Implies there's a Sun-
       | Earth orbit family group that's very similar. Probably some
       | multi-moon orbits with places like Mars and Jupiter.
       | 
       | Also, implies that there may also be a bunch of objects (rocks,
       | meteoroids, dust, asteroids, comet remains, ect...) already
       | orbiting in these types of cyclers, since they're relatively
       | accepting of variations on a basic theme. (3,1) is a ~250 km
       | window, (3,3) is a 2000+ km window.
        
         | Tuna-Fish wrote:
         | I really don't understand why you'd use these instead of direct
         | ascent. The practical orbits here are in the scale of months,
         | while the moon is 3 days away if you just go there directly.
         | 
         | Unless you have a massive space habitat to hang out in, a
         | cycler is worse for logistics than just direct ascent. For
         | interplanetary transits cyclers might some day make sense if
         | you want to move a lot of people around and want to make a huge
         | artificial gravity habitat for the journey. But the moon is
         | just 3 days away, you can just go direct.
        
           | araes wrote:
           | Resupply is a common case. Large amounts of material that you
           | "only" need to take out to 0.4 radius. Or that you can "park"
           | at 0.4 radius and then pick up later.
           | 
           | Persistent shuttle / subway / bus that you can meet somewhere
           | with lower fuel and then tag along for the rest of the ride
           | is another. Sure, its faster to drive somewhere direct with
           | your car, yet its convenient if there's already a known
           | cycling bus / subway route. Go to a known location, tag
           | along. Like a bus / subway, it's also enabling. Maybe you
           | don't want to / can't pay for a Saturn V project.
           | 
           | Cyclic activities that require more than just a one-way or a
           | single round trip. Trash / waste, and similar activities on
           | Earth are an example. Put your trash at some known meeting
           | spot, it gets picked up and taken away.
           | 
           | The entire satellite economy is another, since it's a
           | completely different orbital regime with completely different
           | coverage, vantage points, and observational characteristics.
           | Example, long term telescope that does a constant Earth-Moon
           | cycle every 64 days and has baseline coverage star pattern
           | footprint of ~500,000 miles in a relatively short time frame
           | for observations (along with observations over the entire
           | yearly orbit)
           | 
           | You can also add slowly and keep adding, cause it won't fall
           | out of orbit.
           | 
           | Also works with stuff like slow LEO to GEO transfers using
           | high ISP engines and long orbit raising spirals. (You have to
           | go to 100,000 vs 22,000 miles, yet similar idea).
           | 
           | Speed's not the only metric. No fuel / no propulsion is
           | rather compelling. Low energy, low cost, long term stability.
        
             | Tuna-Fish wrote:
             | You can't just deliver stuff to the path of a cycler and
             | magically have it pick it up with a velocity difference of
             | kilometers/s. You need to match orbit with it, which in
             | fuel terms is no cheaper than flying the entire path. And
             | this orbit matching is generally more expensive than flying
             | directly. (Especially because you need to raise and then
             | lower your perigee, so a "shuttle" flying between the
             | ground and the cycler earth end would have to burn much
             | more delta-v than a direct ascent stage that can always
             | keep it's perigee down and just raise apogee until it
             | intersects with the moon.)
             | 
             | Again, cyclers make sense when you have something heavy you
             | want to perpetually travel between the endpoints, and do
             | relatively light transfers at the ends. But you don't need
             | anything like that for the moon. For the moon, you can just
             | take the stage that would have matched orbits with the
             | cycler and fly to the moon with it, it's just 3 days, you
             | can pack people like sardines for 3 days.
        
         | Alive-in-2025 wrote:
         | I was just about to add that last point you raise, must be some
         | great stuff floating around in one of these that we haven't yet
         | discovered. I wonder if there's a rich horde of dust all in a
         | narrower place.
         | 
         | Good summary, by the way. This paper could lead to an eternal
         | reference to their name! We have Lagrange orbits, like L2, now
         | we will have RRT orbits.
         | 
         | Grad students, it's not all discovered!
        
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