1. Department of Physics, University of Michigan-Ann Arbor
The Orbital Dynamics of New Trans-Neptunian Objects in the Solar System
Tali Khain
Department of Physics, University of Michigan-Ann Arbor
APS CUWiP
January 2017

2. Orbital Elements an orbit is determined by six parameters
semi-major axis (a)
eccentricity (e)
inclination (i), etc.

3. Neptune

5. Neptune

6. Two Body System
Elliptical Orbit
Kepler
Sun
Small Object

7. Elliptical Orbit Two Body System Kepler Many Body System
Sun
Small Object
Many Body System
Orbital Evolution
Numerically
Sun
Jupiter
Saturn
Uranus
Neptune
Small Object
orbit slowly changes with time
slowly = over many orbital periods

8. in Each Orbital Element
Observations
Uncertainty/Error
in Each Orbital Element
Pick Element
From Each
Interval
Potential
Orbit

9. Behavior of Different Clones

10. Increased Stability
with Planet 9
a = 900 AU
e = 0.4

11. Conclusions
including a Planet 9 affects distant objects, can increase their stability
increased stability supports existence of Planet 9
we observe stable objects

12. Conclusions Future Work
including a Planet 9 affects distant objects, can increase their stability
increased stability supports existence of Planet 9
we observe stable objects
Future Work
narrow down potential orbital parameters of Planet 9 using statistical analysis