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研究生： 王祥至
Wang, Shiang-Chih
論文名稱： HD 59686行星系統的穩定性分析及小行星帶存在性之研究
Stability Analysis and Existence of Asteroid Belt in HD 59686 Planetary System
指導教授： 江瑛貴
Jiang, Ing-Guey
口試委員: 葉麗琴
Yeh, Li-Chin
楊湘怡
Yang, Hsiang-Yi
學位類別： 碩士
Master
系所名稱： 理學院 - 天文研究所
Institute of Astronomy
論文出版年： 2020
畢業學年度： 108
語文別： 英文
論文頁數： 51
中文關鍵詞： 系外行星 、天體力學 、HD 59686 行星系統
外文關鍵詞： Exoplanet, Celestial mechanics, HD 59686 planetary system
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    • HD 59686 系統是擁有一顆已被發現的S-type行星且是一個緊密的雙星系統。據以前的文獻和行星形成的理論來看，這類行星通常非常不穩定的。我們利用REBOUND去做模擬以支持HD 59686b的存在與穩定。在這之後我們改變不同的初使條件來尋找在這系統中可能存在的小行星帶或者是另一顆未被發現的行星。我們做出dynamical map去說明在這系統裡的穩定帶的位置。最後，我們簡單的討論了共振在這個系統裡的影響。

    HD 59686 system is a compact binary system with a comfirmed S-type exoplanet. With such close distance between two stars and planet formation theories from other literature, this kind of planets always considered to have chaotic orbits. We use REBOUND package to do the dynamical simulation to study the existence and stability of HD 59686b planet. After that, we test the possibility of the existence of the asteroid belt or another unseen planet inside the system by changing different initial condition of the simulations. We then make the dynamical map to illustrate the stable region inside the system. We also have a brief discussion about resonance effect in this system.

    1 Introduction.........6 2 Method................13 2.1 Numerical Simulations................13 2.1.1 N-body Simulations..............13 2.1.2 The REBOUND Package...............14 2.1.3 The Leapfrog Method................15 2.2 Initial Setting of Simulations............16 2.2.1 Coordinate Systems...............16 2.2.2 Orbital Parameters.............18 2.2.3 Initial Conditions & Simulation Setup.............20 3 The Analysis of HD 59686 System.............24 3.1 Prograde Orbit............24 3.2 Retrograde Orbit...........28 4 Possible S-type Asteroids in HD 59686 System.............32 4.1 Dynamical Map............33 4.2 Evolution of Parameters...........36 4.3 Different Initial Condition of Inclination Angle.........42 5 Discussion...............45 5.1 Secular Perturbation...........45 5.2 Resonance Overlap Criterion...........47 6 The Summary and Future Work.............48

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