Asymptotic orbits in the (N+1)-body ring problem

2009 ◽  
Vol 323 (3) ◽  
pp. 261-272 ◽  
Author(s):  
K. E. Papadakis
2019 ◽  
Vol 1 (1) ◽  
pp. 42-49
Author(s):  
Indri Hapsari ◽  
◽  
Hazrul Is wadi ◽  
Yosvaldo Ongko Cahyadi ◽  
◽  
...  

Author(s):  
Thiago Henrique Freire de Oliveira ◽  
Adriao Duarte Doria Neto ◽  
Jorge Dantas Melo
Keyword(s):  

Author(s):  
Ionut Danaila ◽  
Felix Kaplanski ◽  
Sergei S. Sazhin
Keyword(s):  

Chaos ◽  
2012 ◽  
pp. 75-90
Author(s):  
John Banks ◽  
Valentina Dragan ◽  
Arthur Jones

1944 ◽  
Vol 22a (1) ◽  
pp. 1-25
Author(s):  
Daniel Buchanan

Periodic and asymptotic orbits are obtained for the motion of an infinitesimal body subject to the Newtonian attraction of four finite bodies. The finite bodies are equal in mass and remain relatively fixed at the vertices of a square while they revolve about their common centre of gravity with uniform angular velocity. The infinitesimal body moves in the vicinity of the 13 libration points of the finite bodies. Asymptotic orbits of two dimensions and periodic orbits of two and of three dimensions are obtained.


2017 ◽  
Vol 88 (6) ◽  
pp. 654-666 ◽  
Author(s):  
Arif Kurbak

Pierce’s well-known solution to the problem of the load–extension behavior of a circular ring has been used as one of the measurement methods of bending rigidities of textile yarns. This paper provides some additions to Pierce’s solution to make it applicable for a knitted loop head curve. It is found that the load applied to a ring is equal to the bending rigidity multiplied by the difference between the squares of the major and minor curvatures of the extended ring. This equality gives way to apply the circular ring problem for obtaining the load–extension properties of a knitted loop head. It is also shown that, for the loop head curve, the elastica curve can be replaced by an elliptical curve for up to 30% of extension, as it is easier to apply.


2001 ◽  
Vol 47 (5) ◽  
pp. 3443-3448 ◽  
Author(s):  
E.A. Perdios ◽  
O. Ragos ◽  
A.E. Perdiou ◽  
M.N. Vrahatis

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