Dynamics of Transfer
- The Tisserand Parameter, T, is the key:
- Approximation of the Jacobi constant.
- Encounter velocity
T > 3 not planet crossing.
- If T > 2.83 then planet cannot eject object.
- Jupiter-family comets: 2 < T < 3, but median T = 2.8!
- Most complete study of delivery of comets to JFC orbits is Levison et al (2006)
- Integrated particles for 4 Gyr.
- Initially in the Kuiper belt. (Need to redo this!)
- Followed orbits until:
- Ejected from the Solar System.
- Reached a > 1000 AU Oort cloud.
- Impacted the Sun or a Planet.
- `Typical comet:'
- Gets handed off from planets to planet on the way in.
- due to narrow range of T at each planet
no SFCs, UFCs, or NFCs
- This leads to the following characteristics:
- Centaurs have small eccentricites.
- ~35% of objects become 'visible' (q<2.5AU) comets. 99.7% of these are JFCs.
