• 不 限
  • 期刊论文
  • 硕博论文
  • 会议论文
  • 报 纸
  • 英文论文
  2. 您的位置
  3. 首页
  4. 会议论文
  5. New periodic orbits for the planar Newtonian three-body problem

New periodic orbits for the planar Newtonian three-body problem

来源 :中国计算力学大会2018暨国际华人计算力学大会2018 | 被引量 : 0次 | 上传用户：cker
【摘 要】
：
The famous three-body problem can be traced back to Isaac Newton in the 1680s.In the 300 years since this “three-body problem” was first recognized,only three families of periodic solutions had been f
【作 者】
：
Xiaoming Li Shijun Liao 
【机 构】
：
School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiao Tong University,Shanghai 2002
【出 处】
：
中国计算力学大会2018暨国际华人计算力学大会2018
【发表日期】
：
2018年10期
【关键词】
：
three-body problem periodic orbits clean numerical simulation (CNS) 
下载到本地 , 更方便阅读
下载此文 赞助VIP
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
　　The famous three-body problem can be traced back to Isaac Newton in the 1680s.In the 300 years since this “three-body problem” was first recognized,only three families of periodic solutions had been found,until 2013 when Suvakov and Dmitrasinovic [Phys.Rev.Lett.110,114301(2013)] made a breakthrough to numerically find 13 new distinct periodic orbits,which belong to 11 new families of Newtonian planar three-body problem with equal mass and zero angular momentum.
其他文献
纤维增强复合材料非对称铺层板的双稳态机理分析
非对称铺层的复合材料层合板在存在热残余应力的情况下，具有双稳态性质。层合板的两个稳态之间仅需要一个适当的激励就可以互相转化，因此在变体飞机上应用广泛。基于经典层合板理论，建立了具有双稳态性质的复合材料层合板的能量泛函，本文提出了一个高阶的位移场函数，用瑞利里兹法推导出一组关于位移场函数的系数的非线性方程组。结合牛顿迭代法和消元法求解出非线性方程组得到了层合板的平面外的位移场。
会议
双稳态非对称瑞利里兹法牛顿迭代法
Sound transmission loss of laminated composite cylindrical shell using simulation analysis
In order to solve the problem of noise in the aircraft cabin,the airplane fuselage is equivalent to the cylindrical shell structure,the low frequency(150Hz-1000Hz)noise reduction characteristics of la
会议
laminated composite cylindrical shellsound transmission lossacousticsimulatio
Controllable shape-memory recovery region in polymers through mechanical programming
Temperature memory effect represents the shape-memory materials can remember its deformation temperature.Early researches show that the region of shape memory behavior is relevant to deformation tempe
会议
shape-memory polymersmechanical programmingtemperature memory effect
Molecular Dynamics Simulation of graphene sheets reinforced Al Composites
Graphene,a two-dimensional sheet of carbon atoms,has excellent mechanical,thermal and electrical properties.With such features,graphene has great potential for composite reinforcement.
会议
Graphene sheetsAl matrix compositesMolecular dynamics simulation
A Solid Shell Model for the Mechanical Analysis of Soft Materials with a Growing Mass
Soft materials with a growing mass,including growing soft tissues(e.g.,cartilages and airways)and solvent-absorbent polymer networks(e.g.,hydrogels and PDMS),have been widely observed in nature and en
会议
Soft materialGrowing massFinite element methodSolid shell element
Dynamic Fracture of An Interface Crack between Piezoelectric-Piezomagnetic Layered Structures under
This paper studies the in-plane dynamic fracture problems of an interface crack between piezoelectric-piezomagnetic(PE-PM)layered structures under coupled magneto-electro-mechanical impact loadings by
会议
Piezoelectric-piezomagnetic layered structureInterface cracksCoupled impact lo
Effects of Pre-strain on Wave Propagation in Hyperelastic Materials Containing Glass Micro-Ellipsoid
Hyperelastic materials containing glass micro-ellipsoids are designed to tune elastic wave propagation by pre-strain.The orientations of glass micro-ellipsoids are tuned by pre-strain to influence the
会议
Hyperelastic MaterialsPre-StrainsDispersion RelationsBand Gaps
Variations in Bandgap and Defect Mode of a Phononic Crystal Beam in Thermal Environments
Phononic crystal(PC)is a kind of artificial composite which consists of periodically distributed patterns.Due to the repeated constituents,PC presents some novel characters in wave manipulation.
会议
Phononic crystal beamdefect modethermal environmentFinite element simulation
Transforming the time-fractional diffusion-wave equation into integer order
Fractional calculus has become an important topic in modeling physical phenomena with time-historical memory and spatial-correlation effects.Heavy computational cost and memory-storage requirement of
会议
Fractional calculusFractional diffusion-wave equationMittag-Leffler functionT
High-order multi-scale asymptotic analysis of axisymmetric piezoelectric problem for composite struc
The second-order two-scale(SOTS)asymptotic piezoelectric model is presented for the axisymmetric composites.The structure considered is assumed to be homogeneous in circumferential direction,and have
会议
Axisymmetric piezoelectric problemPeriodic composite materialsMulti-scale Expa