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Calculating de/dt
Producing a vs. e
 

Althea Moorhead: Calculating de/dt

2008: Eccentricity evolution of giant planet orbits due to circumstellar disk torques

In this work, we:
  • Calculate the eccentricity time derivative resulting from Type II migration.
  • Remove several approximations from the traditional treatment of planetary migration and calculate dε/dt for a variety of disks and starting eccentricities.
  • Our calculation always yields eccentricity damping at ε = 0.3.


dε/dt as a function of ε for the disk gap profiles shown below. Note that eccentricity damping always occurs when 0.2 < ε < 0.5.



ScienceDirect

astro-ph  
Eccentricity evolution of giant planet orbits due to circumstellar disk torques, (A. V. Moorhead and F. C. Adams), Icarus, 193, 475-484 (2008).