scholarly journals Restricted three-body problem in effective-field-theory models of gravity

2014 ◽  
Vol 89 (8) ◽  
Author(s):  
Emmanuele Battista ◽  
Giampiero Esposito
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Body Problem ◽  
Effective Field ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Three Body ◽  
Models Of Gravity

Renormalized three-body equations with short-range forces

2011 ◽  
Vol 89 (10) ◽  
pp. 1009-1013
Author(s):  
Ahmed Osman
Keyword(s):  
Effective Field Theory ◽  
Short Range ◽  
Body Problem ◽  
Phase Shifts ◽  
Effective Field ◽  
Three Body Problem ◽  
Deuteron Breakup ◽  
Deuteron Scattering ◽  
Group Invariant ◽  
Three Body

A three-body problem for a system of three nucleons interacting with short-range forces is discussed following effective field theory. Considering the case of a system of neutron–deuteron scattering, three-body equations are demonstrated such that the eigenvalues greater than unity are removed from the kernel leading to an equation that is renormalization-group invariant. The phase shifts are developed from a unique solution of the case of the doubled channel in neutron–deuteron scattering. The calculated neutron–deuteron phase shifts are well described below the deuteron breakup threshold.

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 GEOMETRY OF HOMOCLINIC CONNECTIONS IN A PLANAR CIRCULAR RESTRICTED THREE-BODY PROBLEM

2007 ◽  
Vol 17 (04) ◽  
pp. 1151-1169 ◽  
Author(s):  
MARIAN GIDEA ◽  
JOSEP J. MASDEMONT
Keyword(s):  
Symbolic Dynamics ◽  
Body Problem ◽  
Invariant Manifolds ◽  
Libration Point ◽  
Homoclinic Orbits ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Lyapunov Orbits ◽  
Homoclinic Connections ◽  
Three Body

The stable and unstable invariant manifolds associated with Lyapunov orbits about the libration point L1between the primaries in the planar circular restricted three-body problem with equal masses are considered. The behavior of the intersections of these invariant manifolds for values of the energy between that of L1and the other collinear libration points L2, L3is studied using symbolic dynamics. Homoclinic orbits are classified according to the number of turns about the primaries.

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