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  1. M

    Challenge LOP-G to Brighton Beach and Back Again

    I've seen various figures for LOP-G perilune orbital period. As I understand it, the goal is to have a synodic resonance of either 9:2 or 4:1 to avoid occultation of the solar panels. Assuming that the synodic period of the Moon is around 29.5 days, a 4:1 resonance has a period of around 7.35...
  2. M

    Challenge LOP-G to Brighton Beach and Back Again

    Ajaja: it's a case, really, that not all NRHOs are made equal. The scenario I put forward has an initial perilune of around 6,700 km whereas yours appears to have a perilune that is much lower at around 2,500 km. The stability of NRHOs is strongly dependent on this perilune radius...
  3. M

    Challenge LOP-G to Brighton Beach and Back Again

    Ajaja: yes, this is a NRHO - at least for the CR3BP. I have previously checked my analysis that the calculated halo orbits preserve the Jacobi constant. And they do to high precision. Halo orbits with perilunes of circa 7,000 km as per the scenario are inherently unstable and are expected to...
  4. M

    Challenge LOP-G to Brighton Beach and Back Again

    Ajaja - yep, sorry about that: I accidentally omitted the ENVIRONMENT section of the scenario. I've now amended the scenario in the above. Cheers.
  5. M

    Challenge LOP-G to Brighton Beach and Back Again

    Here's a challenge that might appeal: NASA has proposed parking its planned LOP-G (Lunar Orbital Platform Gateway) station in a Near Rectilinear Halo Orbit (NRHO) and, from this station, allow lunar landers to target landing at any site on the Moon's surface. This raises interesting questions...
  6. M

    Numerical calculation of the Earth-Moon L2 halo orbit family

    Well, in the preceding post in this thread I wrote: So, that's exactly what I'm now going to do: interpolation tables The complete picture of the shape of the entire (southern) L2 halo orbit family is built up from a series of ~1300 individual snapshot high precision halo orbit - each of...
  7. M

    Numerical calculation of the Earth-Moon L2 halo orbit family

    As many of the regular readers of this Maths & Physics forum will know, over the last six months I've been working on an exercise of 'mapping' the centre-manifold orbits (planar and vertical Lyapunov, Lissajous and halo orbits) of the L1 and L2 Lagrange points - particularly those of the...
  8. M

    PyKEP to TransX conversion

    Thanks for the tool! (Aside: I had wondered how one loaded the spice data into pykep. Now I know!)
  9. M

    An update on all things Lissajous and Halo

    As another quick example of the utility of the Lagrange point centre manifold mapping exercise, here is an example video of the view of the Earth and Moon as seen from a vessel 'locked onto' a horizontal Lyapunov orbit around the L2 Lagrange point. ---------- Post added 02-19-19 at 03:05 AM...
  10. M

    An update on all things Lissajous and Halo

    From what I know of Lagrange MFD, it’s a great tool for mapping the Lagrange points themselves - i.e., in particular L1 and L2. It also has a Interplanetary style n-body integrator so that one can predict the future of one’s current trajectory. However, Lagrange MFD doesn’t map Halo orbits and...
  11. M

    Scenario Station-keeping at Earth-Moon L2 scenario example

    Sorry for the slow reply. I was flying most of yesterday and finally arrived at the hotel way too late for me to write a response. In principle, one can get a scenario to auto run a Lau script. And, indeed, I’ve tried running these scripts in this fashion. However, these scripts are very...
  12. M

    Scenario Station-keeping at Earth-Moon L2 scenario example

    Thanks. But I got that Execution Error But I am not sure if installed correctly Chances are that you didn't install correctly. The 'EML2.scn' file needs to be appear directly under the 'Scenarios' directory in your installation; and the whole of the 'Lissajous' directory needs to be copied...
  13. M

    Scenario Station-keeping at more Lagrange points

    This is a direct continuation of Station-keeping at Earth-Moon L2 scenario example Attached is a .zip file containing six station-keeping at Lagrange point scenarios. These scenarios are: 1. Earth-Moon L1 2. Earth-Moon L2 (already posted in the earlier thread but included again here for...
  14. M

    Scenario Station-keeping at Earth-Moon L2 scenario example

    I guess I need the Lua Console Yes, I'm afraid so. It should be simply be a matter of going to the 'Modules' pane and checking the 'LuaConsole' box. Then, when Orbiter is running, Lua Console should be accessible via the 'function' button at the top of the screen and should appear as one...
  15. M

    Scenario Station-keeping at Earth-Moon L2 scenario example

    Any number of vessels can be 'locked' to L2. However, the routine slaves each vessel to L2 with sub-millimetre precision (such is the power of floating point arithmetic). To lock two or more vessels to L2, and to avoid a non-physical overlap, one would need to add a small spatial offset to the...
  16. M

    Scenario Station-keeping at Earth-Moon L2 scenario example

    Hmmm. I've just downloaded the .zip and installed on my Orbiter installation. Opened Lua Console and typed in: %run 'Lissajous/EML2' All works fine at my end. Can you check your installation and the Lua Console command? Thanks MB
  17. M

    Scenario Station-keeping at Earth-Moon L2 scenario example

    Not quite sure what you mean. Delta-Glider's were used in the posted scenario simply because they are stock - so anyone should be able to run the file. But the same algorithm can be applied to any vessel. If you look in the 'Script/Lissajous' directory, you'll find a file called 'EML2.lua'...
  18. M

    Scenario Station-keeping at Earth-Moon L2 scenario example

    Following directly on from An update on all things Lissajous and Halo, attached is a zip file containing a scenario and associated script and data files for a demonstration scenario of station-keeping at Earth-Moon L2 Lagrange point. Download the zip file and, in the usual file, copy the files...
  19. M

    An update on all things Lissajous and Halo

    Over the last six months or so, I've posted a number of threads relating to general Lissajous and Halo orbits with a view to developing simple tools that can lock vessel onto a prescribed 'closed loop' orbit around the L1/L2 Lagrange points of the Earth-Moon, Sun-Earth and other restricted...
  20. M

    Construct a Halo orbit around L1 of the Sun-Mars system

    This is a second post detailing how to construct the state vectors of a prescribed Halo orbit around a Lagrange point. It is a direct continuation of the post Construct a Hal orbit around L2 of the Earth-Moon system so it's probably a good idea to read that post before reading this one. That...
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