Regions of prevalence in the coupled restricted three-body problems approximation
نویسندگان
چکیده
منابع مشابه
The Modified Restricted Three Body Problems
The restricted three body problem is well-known and very important for dynamics of binary, multiple stars and also planetary systems. We extend the classical version of this problem to the situation that there are some external forces from the belt. We find that both the equilibrium points and solution curves become quite different from the classical case. We also determine the values of Lyapun...
متن کاملCaustics of the restricted three-body problem
Trajectories of the planar, circular, restricted threebody problem are given in the configuration space through the caustics associated to the invariant tori of quasi-periodic orbits. It is shown that the caustics of trajectories librating in any particular resonance display some features associated to that resonance. This method can be considered complementary to the Poincaré surface of sectio...
متن کاملa comparative study of the theme of "marriage" in three victorian novelists: charles dickens, george eliot and thomas hardy
این تحقیق کوشیده است با انتخاب پنج رمان از میان آثار برگزیده، «چارلز دیکنز»، «جورج الیوت» و «توماس هاردی » و با رویکردی تطبیقی به بررسی درونمایه ی «ازدواج» در آثار این سه رمان نویس بزرگ دوره ی ویکتوریا بپردازد. فرضیه ی اولیه ی تحقیق این بوده است که چارلز دیکنز (1870- 1812) با زبانی شوخ و گزنده، جورج الیوت(1880- 1819) با نگاهی آموزشی–اندرزگونه و توماس هاردی(1928- 1840) با رویکردی تلخ وانتقادی به...
Stabilization of Chaotic Behavior in the Restricted Three-Body Problem
Henri Poincaré in his work on Celestial Mechanics underlined a possibility of chaotic behavior in threebody problem by the destruction of homoclinic contours. Later, an existence of transverse homoclinic points in the three-body problem was analytically verified. A well-known modification of the restricted three-body problem is that of Sitnikov [1960]. The Sitnikov problem takes place when two ...
متن کاملAn Analysis of Stability in the Restricted Three-body Problem
The three body problem studies the motion of three masses whose gravitational attraction have an effect on each other. The dynamics of the three body problem are essentially different from those of two bodies, because in the latter case, an analytical solution may be found that admits orbits in the form of conic sections. This problem has been studied at great length and is the basis of most of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Nonlinear Science and Numerical Simulation
سال: 2012
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2011.06.034