An Atlas of Surfaces of Section
for the Restricted Problem
of Three Bodies

This is a project that I worked on some 30 years ago. A summary of the work was published in Stability regions for quasiperiodic motion in the restricted problem of three bodies, but the entire work has only been available as a report, which is now out of print. Since I still occasionally get requests for this report, I decided to make it available on the web.

The atlas is being distributed as a series of stuffit archives. To unstuff them you may need to pick up a copy of Aladdin Software's free Stuffit Expander, which is available for a number of platforms. Each archive contains LZW-compressed tiff-encoded scans of pages from the atlas; the pages should be readable with standard graphics display programs. Any difficulties in reading the files should be reported to me.

The entire archive is about 23 MB in size; I have broken it into pieces consisting of the cover, text, figures, and the computer-generated surfaces-of-section. Most files are 1-2.5 MB in size, but the color cover is over 6 MB in size (it is also not needed!). The scans for the surfaces-of-section are arranged by mass parameter mu=m1/(m1+m2) where m1 and m2 are the masses of the two primaries (this is the Szebehely convention). Within each mass parameter the scans are labeled by a code indicating the (Szebehely) Jacobi constant for the orbits in the scan. A letter C indicates a positive Jacobi constant, and a letter M a negative Jacobi constant.

  1. Cover
  2. Text
  3. Figures
  4. Scans for Sun-Jupiter mass parameter 0.00095388
  5. Scans for Earth-Moon mass parameter 0.01215067
  6. Scans for mass parameter 1/11, used by George Darwin
  7. Scans for mass parameter 1/5, used by Forrest Ray Moulton
  8. Scans for mass parameter 1/3
  9. Scans for mass parameter 1/2 used by Moulton and by the Copenhagen school under E. Stromgren
  10. Scans for mass parameter 4/5, symmetric to the Moulton value 1/5
  11. Scans for a Lunar Orbiter, mass parameter 0.98784933
  12. Scans for a Jupiter satellite, mass parameter 0.99904612

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