clues to the origin of jupiter s trojans the libration amplitude distribution
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Clues to the origin of Jupiter’s Trojans: the libration amplitude distribution. F. Marzari, P. Tricarico, and H. Scholl Katie McGleam TERPS conference Dec. 7, 2004. Outline. Background Trojan origin: Mutual Collisions Mass Growth of Jupiter Combination Dynamical Instability

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clues to the origin of jupiter s trojans the libration amplitude distribution

Clues to the origin of Jupiter’s Trojans: the libration amplitude distribution

F. Marzari, P. Tricarico, and H. Scholl

Katie McGleam

TERPS conference Dec. 7, 2004

outline
Outline
  • Background
  • Trojan origin:
    • Mutual Collisions
    • Mass Growth of Jupiter
    • Combination
  • Dynamical Instability
  • Put it all together!
background
Background
  • Trojans orbit at the stable L4 and L5 points of Jupiter.
  • Estimated that there are about half as many Trojans as main belt asteroids. (Shoemaker et al, 1989)
  • Libration amplitudes

Minor Planet Center Plot prepared on 1997 March 7

capture mutual collisions
Capture: Mutual Collisions
  • Model:
    • Sun, Jupiter, Saturn
    • 5000 planetesimals
    • a: 4.9 – 5.5 AU, e: 0.0 – 0.1, i: 0-1.5°
    • Jupiter & Saturn: fixed mass of 10 M
  • Results:
    • 450 captured, 54 with D < 40°
capture mass growth of jupiter
Capture: Mass Growth of Jupiter
  • Model:
    • same as before, except:
    • Jupiter and Saturn grow at the same rate from 10 M to
    • their present sizes over 2x104 years.
    • no collisions
  • Results:
    • 1850 captured, all with D > 40°, most would be unstable
mutual collisions mass growth
Mutual Collisions + Mass Growth
  • Model:
    • Two stages:
      • 1. Collisions only, 2x104 years, Jupiter & Saturn:
      • fixed mass of 10 M
      • 2. Mass growth over another 2x104 years, with collisions
  • Results:
    • 346 captured, 67 with D < 40°

Shaded region:

captured before

mass growth

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