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研究生:吳媛蓁
研究生(外文):Yuan-Chen Wu
論文名稱:Fomalhaut的行星和岩屑盤動態系統的研究
論文名稱(外文):On the Dynamical System of Fomalhaut's Planet and Debris Disc
指導教授:葉麗琴葉麗琴引用關係
指導教授(外文):Li-Chin Yeh
學位類別:碩士
校院名稱:國立新竹教育大學
系所名稱:應用數學系碩士班
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
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 SystemDebris DiscFomalhaut
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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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