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研究生: 賴雲立
Yun-Li Lai
論文名稱:
The orbital migrations of massive planets in the protoplanetary disks
指導教授: 江瑛貴
Ing-Guey Jiang
口試委員:
學位類別: 碩士
Master
系所名稱: 理學院 - 天文研究所
Graduate Institute of Astronomy
畢業學年度: 93
語文別: 英文
論文頁數: 63
外文關鍵詞: giant planet, migration, protoplanetary disk, steady disk, gap, photoevaporation, planet
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  • The observed small orbital radii of massive extrasolar planets around
    the central solar-type stars can be explained by the mechanisms of
    orbital migration. The scenario is: the planet forms in the protoplanetary
    disk and induces planet–disk tidal interactions resulting in the
    inward migration of the planet. In this thesis, we first construct a onedimensional
    disk model corresponding to the observational constraints
    and then investigate the effects caused by the embedded planet, including
    the regulations of the disk surface density and the planetary
    orbital radius. Using numerical simulations, the evolution of the disk
    as well as the changes in the planetary orbital radius are produced.
    The massive planet (∼ 1MJ ) opens a gap quickly in the vicinity of its
    location, and the gap would move with the migrating planet. If the
    planet forms earlier in the disk, its extent of migration is larger. We
    also find that the more massive planet migrates faster initially, but
    the resulting change in orbital radius is not obvious (it would stop
    migrating earlier).

    1 Introduction 1 2 The Models 5 2.1 The Governing Equations . . . . . . . . . . . . . . . . 5 2.1.1 Viscous Accretion DiskModel . . . . . . . . . . 5 2.1.2 The Disk-Planet Interaction . . . . . . . . . . . 7 2.1.3 The PlanetaryMigrations . . . . . . . . . . . . 8 2.2 The Viscosity . . . . . . . . . . . . . . . . . . . . . . . 11 2.3 The Non-dimensionalization . . . . . . . . . . . . . . . 12 2.3.1 The Dimensionless Variables . . . . . . . . . . . 12 2.3.2 Converting to √r Space . . . . . . . . . . . . . 14 2.4 The Photoevaporation . . . . . . . . . . . . . . . . . . 15 2.5 The Steady DiskModel . . . . . . . . . . . . . . . . . . 18 3 The Numerical Methods 20 3.1 The Crank-Nicholson Scheme . . . . . . . . . . . . . . 23 3.2 The Two-Step Lax-Wendroff Scheme . . . . . . . . . . 24 4 The Comparisons with Pringle (1981) and Clarke et al. (2001) 26 4.1 Pringle (1981): The Constant Viscosity . . . . . . . . . 26 4.2 Clarke et al. (2001): The Similarity Solution . . . . . . 28 5 The Results and Discussions 35 5.1 The Disk Parameters . . . . . . . . . . . . . . . . . . . 35 5.2 The Disk Evolution . . . . . . . . . . . . . . . . . . . . 39 5.3 The Effects of Planets . . . . . . . . . . . . . . . . . . 46 5.3.1 Different Values of Formation Time . . . . . . . 51 5.3.2 Different Values of Initial Radius . . . . . . . . 52 5.3.3 Different Values of PlanetaryMass . . . . . . . 52 5.3.4 The Results of β = 3/2Model . . . . . . . . . . 56 6 The Conclusions and Future Works 59 References 61

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