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We study the effect of the radiation parameter in the location, stability and orbital dynamics in the Lagrange configuration of the restricted four-body problem when one of the primaries is a radiating body. The equations of motion for the…

混沌动力学 · 物理学 2020-06-22 J. E. Osorio-Vargas , F. L. Dubeibe , Guillermo A. González

Within the framework of restricted four-body problem, we study the motion of an infinitesimal mass by assuming that the primaries of the system are radiating-oblate spheroids surrounded by a circular cluster of material points. In our…

地球与行星天体物理 · 物理学 2014-11-06 Babatunde J. Falaye

In this paper we have examined the linear stability of triangular equilibrium points in the generalised photogravitational restricted three body problem with Poynting-Robertson drag. We have found the position of triangular equilibrium…

动力系统 · 数学 2013-11-07 B. Ishwar , B. S. Kushvah

In this paper, we intend to investigate the dynamics of the Circular Restricted Three-Body Problem. Here we assumed the primaries as the source of radiation and have variable mass. The gravitational perturbation from disk-like structure are…

地球与行星天体物理 · 物理学 2025-01-22 Leonardus B. Putra , I. Nurul Huda , H. S. Ramadhan , M. B. Saputra , T. Hidayat

The existence of equilibrium points and the effect of radiation pressure have been discussed numerically. The problem is generalized by considering bigger primary as a source of radiation and small primary as an oblate spheroid. We have…

动力系统 · 数学 2009-02-08 Badam Singh Kushvah

We have analyzed the motion of an infinitesimal mass in the restricted four body problem with solar wind drag. It is assumed that forces which govern the motion are mutual gravitational attractions of the primaries, radiation pressure force…

地球与行星天体物理 · 物理学 2013-11-20 Reena Kumari , Badam Singh Kushvah

We study the effects of oblateness up to $J_4$ of the primaries and power-law density profile (PDP) on the linear stability of libration location of an infinitesimal mass within the framework of restricted three body problem (R3BP), by…

地球与行星天体物理 · 物理学 2015-12-23 B. J. Falaye , S. H. Dong , K. J. Oyewumi , O. A. Falaiye , E. S. Joshua , J. Omojola , O. J. Abimbola , O. Kalu , S. M. Ikhdair

The planar equilateral restricted four-body problem where two of the primaries have equal masses is used in order to determine the Newton-Raphson basins of convergence associated with the equilibrium points. The parametric variation of the…

混沌动力学 · 物理学 2017-02-24 Euaggelos E. Zotos

In this paper,we have found the equations of motion of Generalized Photogravitational restricted three body problem with Poynting-Robertson drag. The problem is generalized in the sense that smaller primary is supposed to be an oblate…

动力系统 · 数学 2007-05-23 B. S. Kushvah , B. Ishwar

In the present work a systematic study has been presented in the context of the existence of libration points, their linear stability, the regions of motion where the third particle can orbit and the domain of basins of convergence linked…

混沌动力学 · 物理学 2020-05-22 Md Sanam Suraj , Rajiv Aggarwal , Amit Mittal , Om Prakash Meena , Md Chand Asique

The planar linear restricted four-body problem is used in order to determine the Newton-Raphson basins of convergence associated with the equilibrium points. The parametric variation of the position as well as of the stability of the…

混沌动力学 · 物理学 2017-09-28 Euaggelos E. Zotos

The restricted (equilateral) four-body problem consists of three bodies of masses m1, m2 and m3 (called primaries) lying in a Lagrangian configuration of the three-body problem i.e., they remain fixed at the apices of an equilateral…

经典分析与常微分方程 · 数学 2015-06-05 Jaime Burgos-García , Joaquín Delgado

The dynamics of the pseudo-Newtonian restricted four-body problem has been studied in the present paper, where the primaries have equal masses. The parametric variation of the existence as well as the position of the libration points are…

混沌动力学 · 物理学 2019-04-18 Md Sanam Suraj , Euaggelos E. Zotos , Rajiv Aggarwal , Amit Mittal

The main goal of the present paper is to evaluate the perturbed locations and investigate the linear stability of the triangular points. We studied the problem in the elliptic restricted three body problem frame of work. The problem is…

动力系统 · 数学 2021-09-29 M. Radwan , Nihad S. Abdel-Motelp

In this work, we revisit the planar restricted four-body problem to study the dynamics of an infinitesimal mass under the gravitational force produced by three heavy bodies with unequal masses, forming an equilateral triangle configuration.…

动力系统 · 数学 2022-08-31 José Alejandro Zepeda Ramírez , Martha Alvarez-Ramírez

The restricted (equilateral) four-body problem consists of three bodies of masses m1, m2 and m3 (called primaries) lying in a Lagrangian config- uration of the three-body problem, i,e,. they remain fixed at the apices of an equilateral…

经典分析与常微分方程 · 数学 2013-10-22 Jaime Burgos-Garcia

We investigate the stability of motion close to the Lagrangian equilibrium points L4 and L5 in the framework of the spatial, elliptic, restricted three- body problem, subject to the radial component of Poynting-Robertson drag. For this…

地球与行星天体物理 · 物理学 2015-06-23 Christoph Lhotka , Alessandra Celletti

We consider the planar circular equilateral restricted four body-problem where a test particle of infinitesimal mass is moving under the gravitational attraction of three primary bodies which move on circular orbits around their common…

地球与行星天体物理 · 物理学 2017-09-28 Euaggelos E. Zotos

In this paper, we extend the basic model of the restricted four-body problem introducing two bigger dominant primaries $m_1$ and $m_2$ as oblate spheroids when masses of the two primary bodies ($m_2$ and $m_3$) are equal. The aim of this…

地球与行星天体物理 · 物理学 2013-11-20 Reena Kumari , Badam Singh Kushvah

In this paper, we determine the effect of radiation pressure, Poynting-Robertson drag and solar wind drag on the Sun-(Earth-Moon) restricted three body problem. Here, we take the larger body of the Sun as a larger primary, and Earth+Moon as…

地球与行星天体物理 · 物理学 2014-11-21 Ashok Kumar Pal , Badam Singh Kushvah
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