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note
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H from a planet, the dominant perturber is the planet, not the sun. The Hill radii of Jupiter and Saturn are 0.36 and 0.44 AU, respectively.
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unpublished material
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R. Malhotra, unpublished material.
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Malhotra, R.1
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note
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Because of the geometric locations of the 4:7, 3:5, and 5:8 interior MMRs, Jupiter has to migrate inward, by about 0.2 AU, to remove asteroids in the 3.5-to 3.9-AU region, However, the migration time scale and the migration scheme (linear, exponential, or other) are less constrained on the basis of the population of asteroids in this region. The long-term dynamics of the asteroids at 2:3 and 1:2 interior MMRs after the planet migration ceased may provide more insight into these questions.
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note
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We thank H. Zook for enthusiastic discussions. This research was performed while J.-C.L. held a National Research Council-NASA Johnson Space Center Research Associateship and R.M. was a staff scientist at the Lunar and Planetary Institute (LPI), which is operated by the Universities Space Research Association under contract NASW-4574 with NASA. Support was also provided by NASA's Origins of Solar Systems Research Program under grant 4474. This paper is LPI contribution 905.
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