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Dynamicists of Wisconsin: Invariant Loops in Eccentric Binary Systems

This study by Barbara Pichardo, Linda Sparke, and Luis Aguilar explores the use of the method of invariant loops to find multiply-periodic 'closed' particle orbits in eccentric binary systems. The researchers also observe that gas settles onto stable non-intersecting invariant loops. The poster and the research paper provide further details on these findings. The study also reveals that circumstellar disks in circumbinary systems are centered on the small star's orbit, rather than the binary's mass center. The radius of circumstellar disks shrinks as (1-e)1.2, where e is the eccentricity of the orbit. The paper discusses the application of invariant loops to determine orbit eccentricity from disk sizes, as demonstrated in the case of L1551 and stable zones for planets in binary systems. It is noted that L1551's disk sizes limit eccentricity and mass ratio.

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Dynamicists of Wisconsin: Invariant Loops in Eccentric Binary Systems

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  1. Disks in Eccentric Binary Systems Barbara Pichardo, Linda Sparke &Luis Aguilar (IA- UNAM) (UW- Madison) (OAN) Spherical Cow Dynamicists of Wisconsin

  2. Method of invariant loops finds multiply-periodic 'closed' particle orbits. Gas settles onto stable non-intersecting invariant loops. See our poster, or Pichardo, Sparke & Aguilar 2005: MNRAS, 359, 521

  3. ecc=0.9 peri Circumbinary disks are ‘scared away’ by the small star: they center on its orbit, not the binary’s mass center. Circumstellar disk radius shrinks as (1-e)1.2 ecc=0 apo m1/m2=9

  4. Can use invariant loops to find orbit eccentricity from disk sizes as in L1551, stable zones for planets in binary systems, etc. L1551 disk sizes limit eccentricity and mass ratio: [0.5-m2/(m1+m2)] + 0.5e < 0.1 THE END

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