Sweeping Secular Resonances
- A massive Kuiper belt causes a torque on planets and KB objects.
- This effects the secular frequencies of the KBOs and the planets.
- So, the secular resonances move.
- The location of
is closer.
- The location of
is further.
- As the mass of the disk decreases,the locations of these resonances sweeps toward 41AU.
- The effects eccentricities in the inner KB.
- The effects inclinations in the outer KB.
- We performed a calculation of this using 500 test particles.
- Initially e=0.01 and i=1.
- Included a potential of a KB with a mass of 30
.
- Mass of disk decreased in 108 years, consistent with grinding time (Stern & Colwell).
- This does not produce large enough inclinations.
Nagasawa & Ida
- They invoked a massive gas disk to excite disk.
- Allows KBOs to interact with more of the Solar System's secular frequencies.
- In particular, Jupiter.
- This can work, but the need the disk to be around a very long time.
- Exponential decay time of >108 years.
- Not consistent with our understanding of disk lifetimes.
- However, they assume that disk cannot respond to planets. Probably wrong.
.......................................................................
....................................................................
