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研究生: 吳媛蓁
Yuan-Chen Wu
論文名稱: Fomalhaut的行星和岩屑盤動態系統的研究
On the Dynamical System of Fomalhaut's Planet and Debris Disc
指導教授: 葉麗琴
Li-Chin Yeh
口試委員:
學位類別: 碩士
Master
系所名稱: 南大校區系所調整院務中心 - 應用數學系所
應用數學系所(English)
論文出版年: 2013
畢業學年度: 101
語文別: 中文
中文關鍵詞: 動態系統岩屑盤Fomalhaut
外文關鍵詞: Dynamical System, Debris Disc, Fomalhaut
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  • 摘要
    以行星和小岩屑動態系統來研究岩屑盤的分布密度。在本論文中,我們主要是探討β參數對Fomalhaut的岩屑盤動態系統的影響,β的值是指輻射壓力和萬有引力之間的比率。


    Abstract
    The planets and grains' dynamical models are employed to study the density distribution of debris disc. In this thesis, we investigate the effects of β, where β is the value of the ratio between the radiation pressure force and the gravitational force, to simulate the Fomalhaut's disc.

    Contents 1. Introduction --- 1 2. Fomalhaut b and a Dust Grain --- 3 2.1 The Units --- 3 2.2 The Equations of Motion of Fomalhaut b --- 4 2.3 The Equations of Motion of a Dust Grain --- 5 3. Simulations for the Initial Circular Motion of Fomalhaut b --- 6 3.1 The Initial Conditions of Fomalhaut b --- 7 3.2 The Initial Conditions of a Dust Grain --- 9 3.3 The Effect of β on One Grain's Orbital Evolution --- 10 3.4 Simulations Multiple Grains --- 17 4. Conclusions --- 35 5. Bibliography --- 36 6. Appendix --- 37

    Bibliography
    [1] http://exoplanet.eu/
    [2] Chiang, E. et al, Fomalhaut’s Debris Disk and Planet: Constraining the Mass of
    Fomalhaut b from Disk Morphology, The Astrophysical Journal, 693:734-749, 2009
    [3] Jiang, I.G. and Yeh, L.C., Dynamical Effects from Asteroid Belts for Planetary
    Systems, International Journal of Bifurcation and Chaos, 14:3153-3166, 2004
    [4] Jiang, I.G. and Yeh, L.C., Grain Dynamics in Debris Disks: Continuous Outward
    Flows and Embedded Planets, The Astronomical Journal, 137:4169-4185, 2009
    [5] Murray, C.D. and Dermott, S.F., Solar System Dynamics, 2nd Edition, Cambridge
    University Press, 2001
    [6] Jiang, I.G. and Yeh, L.C., On the Chaotic Orbits of Disk-Star-Planet Systems, The
    Astronomical Journal, 128:923-932, 2004
    [7] Ricci, L. et al, Fomalhaut Debris Disk Emission at 7 Millimeters: Constraints on
    the Collisional Models of Planetesimals, Astronomy & Astrophysics, 539, L6, 2012
    [8] Stapelfeldt, K.R. et al, First Look at the Fomalhaut Debris Disk with the Spitzer
    Space Telescope, The Astrophysical Journal Supplement Series, 154:458-462, 2004
    [9] Jiang, I.G. and Yeh, L.C., The Drag-Induced Resonant Capture for Kuiper Belt
    Objects, Monthly Notices of the Royal Astronomical Society, 355:L29-L32, 2004

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