Generalized Elliptic Restricted Four-Body Problem with Variable Mass

2020 ◽  
Vol 46 (4) ◽  
pp. 275-288
Author(s):  
Abdullah A. Ansari ◽  
Sada Nand Prasad
Keyword(s):  
Body Problem ◽  
Variable Mass ◽  
Four Body Problem

On the photo-gravitational restricted four-body problem with variable mass

2018 ◽  
Vol 363 (5) ◽  
Author(s):  
Amit Mittal ◽  
Rajiv Agarwal ◽  
Md Sanam Suraj ◽  
Monika Arora
Keyword(s):  
Body Problem ◽  
Variable Mass ◽  
Four Body Problem

Stability of libration points in the restricted four-body problem with variable mass

2016 ◽  
Vol 361 (10) ◽  
Author(s):  
Amit Mittal ◽  
Rajiv Aggarwal ◽  
Md. Sanam Suraj ◽  
Virender Singh Bisht
Keyword(s):  
Body Problem ◽  
Variable Mass ◽  
Libration Points ◽  
Four Body Problem

scholarly journals Stability of the equilibrium points in the circular restricted four body problem with oblate primary and variable mass

2016 ◽  
Vol 4 (1) ◽  
pp. 14 ◽  
Author(s):  
Abdullah Abduljabar Ansari
Keyword(s):  
Body Problem ◽  
Equilibrium Points ◽  
Variable Mass ◽  
Asymptotically Stable ◽  
Oblate Body ◽  
Four Body Problem

<p>This paper investigates the liberation points and stability of the restricted four body problem with one of the primaries as oblate body and the infinitesimal body is taken as variable mass. Due to oblateness, the equilateral triangular configuration is no longer exists and becomes an isosceles triangular configuration. Moreover, we have found seven equilibrium points out of which three are asymptotically stable (dark black in the tables) and rest four are unstable.</p>

On the modified circular restricted three-body problem with variable mass

New Astronomy ◽  
2021 ◽  
Vol 84 ◽  
pp. 101510
Author(s):  
Md Sanam Suraj ◽  
Rajiv Aggarwal ◽  
Md Chand Asique ◽  
Amit Mittal
Keyword(s):  
Body Problem ◽  
Variable Mass ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Three Body

scholarly journals Central Configurations and Action Minimizing Orbits in Kite Four-Body Problem

2020 ◽  
Vol 2020 ◽  
pp. 1-18
Author(s):  
B. Benhammouda ◽  
A. Mansur ◽  
M. Shoaib ◽  
I. Szücs-Csillik ◽  
D. Offin
Keyword(s):  
Cross Sections ◽  
Body Problem ◽  
Mass Parameter ◽  
Central Configurations ◽  
Continuous Family ◽  
Classical Action ◽  
Dynamical Aspect ◽  
Homographic Solutions ◽  
Four Body Problem ◽  
Current Article

In the current article, we study the kite four-body problems with the goal of identifying global regions in the mass parameter space which admits a corresponding central configuration of the four masses. We consider two different types of symmetrical configurations. In each of the two cases, the existence of a continuous family of central configurations for positive masses is shown. We address the dynamical aspect of periodic solutions in the settings considered and show that the minimizers of the classical action functional restricted to the homographic solutions are the Keplerian elliptical solutions. Finally, we provide numerical explorations via Poincaré cross-sections, to show the existence of periodic and quasiperiodic solutions within the broader dynamical context of the four-body problem.

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