A Comparative Study of Resonances in the Dynamics of the Mimas-Tethys System  

A Comparative Study of Resonances in the Dynamics of the Mimas-Tethys System

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作  者:Hemant Kumar Mishra Govind Kumar Jha Sarita Jha 

机构地区:[1]Department of Mathematics, Chatra College, Chatra, India [2]Department of Mathematics, Vinoba Bhave University, Hazaribag, India [3]Department of Mathematics, K. B. Women’s College, Hazaribag, India

出  处:《International Journal of Astronomy and Astrophysics》2017年第1期28-37,共10页天文学与天体物理学国际期刊(英文)

摘  要:The probability of capture of Mimas-Tethys in 2:4 resonance was found to be 0.76 by Champenois when they considered the orbit of Tethys to be elliptical (that is eccentricity of Tethys to be 0.0008) and chaos was taken into account. It means probability of capture in i21 or ?i23?resonance is 0.24 (i.e. probability of non capture in i1i3?resonance). Here we have done the comparative study of the dynamics of Mimas-Tethys system at i1i3, i1i3e3, i21e3, i23e3 and i21, i1i3e3, i21e3, i23e3 resonances along with secular resonance of Saturn’s six inner satellites and Saturn’s oblateness. We have drawn Poincare surface of sections and Time series graphs to compare their effect.The probability of capture of Mimas-Tethys in 2:4 resonance was found to be 0.76 by Champenois when they considered the orbit of Tethys to be elliptical (that is eccentricity of Tethys to be 0.0008) and chaos was taken into account. It means probability of capture in i21 or ?i23?resonance is 0.24 (i.e. probability of non capture in i1i3?resonance). Here we have done the comparative study of the dynamics of Mimas-Tethys system at i1i3, i1i3e3, i21e3, i23e3 and i21, i1i3e3, i21e3, i23e3 resonances along with secular resonance of Saturn’s six inner satellites and Saturn’s oblateness. We have drawn Poincare surface of sections and Time series graphs to compare their effect.

关 键 词:SECULAR Resonance Three Body Problem DISTURBING Function OBLATENESS 

分 类 号:R73[医药卫生—肿瘤]

 

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