Quasi-periodic solutions of the spatial lunar three-body problem
نویسندگان
چکیده
منابع مشابه
Quasi-periodic Solutions of the Spatial Lunar Three-body Problem
In this paper, we consider the spatial lunar three-body problem in which one body is far-away from the other two. By applying a well-adapted version of KAM theorem to Lidov-Ziglin’s global study of the quadrupolar approximation of the spatial lunar three-body problem, we establish the existence of several families of quasi-periodic orbits in the spatial lunar three-body problem.
متن کاملQuasi-periodic Solutions of a Spiral Type for Photogravitational Restrict- ed Three-Body Problem
A new type of exact solutions for photogravitational restricted three-body problem (a case of spiral motion) is presented here. A key point is that we obtain the appropriate specific case of spiral motions from the Jacobian-type integral of motion for photogravitational restricted three-body problem (when orbit of small 3-rd body is assumed to be like a spiral). Besides, we should especially no...
متن کاملVariational methods on periodic and quasi-periodic solutions for the N-body problem
The purpose of this article is two fold. First, we show how quasi-periodic solutions for theN-body problem can be constructed by variational methods. We illustrate this by constructing uncountably many quasi-periodic solutions for the fourand six-body problems with equal masses. Second, we show by examples that a system of N masses can possess infinitely many simple or multiple choreographic so...
متن کاملQuasi-Periodic Orbits of the Restricted Three-Body Problem Made Easy
A new fully numerical method is presented which employs multiple Poincaré sections to find quasi-periodic orbits. The main advantages of this method are the small overhead cost of programming and very fast execution times, robust behavior near chaotic regions that leads to full convergence for given family of quasi-periodic orbits and the minimal memory required to store these orbits. This meth...
متن کاملthe problem of divine hiddenness
این رساله به مساله احتجاب الهی و مشکلات برهان مبتنی بر این مساله میپردازد. مساله احتجاب الهی مساله ای به قدمت ادیان است که به طور خاصی در مورد ادیان ابراهیمی اهمیت پیدا میکند. در ادیان ابراهیمی با توجه به تعالی خداوند و در عین حال خالقیت و حضور او و سخن گفتن و ارتباط شهودی او با بعضی از انسانهای ساکن زمین مساله ای پدید میاید با پرسشهایی از قبیل اینکه چرا ارتباط مستقیم ویا حداقل ارتباط وافی به ب...
15 صفحه اولذخیره 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: Celestial Mechanics and Dynamical Astronomy
سال: 2014
ISSN: 0923-2958,1572-9478
DOI: 10.1007/s10569-014-9549-4