Dynamics of synodic resonant near rectilinear halo orbits in the bicircular four-body problem

2020 ◽  
Vol 66 (9) ◽  
pp. 2194-2214
Author(s):  
Kenza K. Boudad ◽  
Kathleen C. Howell ◽  
Diane C. Davis
Keyword(s):  
Body Problem ◽  
Halo Orbits ◽  
Four Body Problem ◽  
Near Rectilinear Halo Orbits

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.

11Li-12C scattering as a four-body problem

1995 ◽  
Vol 21 (1) ◽  
pp. 87-100 ◽  
Author(s):  
J Formanek ◽  
R J Lombard
Keyword(s):  
Body Problem ◽  
Four Body Problem

scholarly journals Dynamics of the the dihedral four-body problem

2012 ◽  
Vol 6 (4) ◽  
pp. 925-974
Author(s):  
Davide L. Ferrario ◽  
Alessandro Portaluri
Keyword(s):  
Body Problem ◽  
Four Body Problem

A restricted charged four-body problem

1990 ◽  
Vol 47 (3) ◽  
pp. 245-266 ◽  
Author(s):  
J. Casasayas ◽  
A. Nunes
Keyword(s):  
Body Problem ◽  
Four Body Problem

A Restricted Four-body Problem for the Figure-eight Choreography

2021 ◽  
Vol 26 (3) ◽  
pp. 222-235
Author(s):  
Ricardo Lara ◽  
Abimael Bengochea
Keyword(s):  
Body Problem ◽  
Four Body Problem
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