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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. 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

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  1. 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

  2. Outline • Background • Trojan origin: • Mutual Collisions • Mass Growth of Jupiter • Combination • Dynamical Instability • Put it all together!

  3. 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

  4. 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°

  5. 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

  6. 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

  7. Add Dynamical Instability…

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