scholarly journals Envelope instability and the fourth order resonance

2014 ◽  
Vol 17 (12) ◽  
Author(s):  
Chao Li ◽  
Ya Liang Zhao
Keyword(s):  
Fourth Order ◽  
Order Resonance

Betatron coupling correction at the IUCF cooler, leading to improved determination of fourth-order resonance Hamiltonian

1992 ◽  
Author(s):  
M. Ellison ◽  
M. Ball ◽  
B. Brabson ◽  
J. Budnick ◽  
D. D. Caussyn ◽  
...  
Keyword(s):  
Fourth Order ◽  
Order Resonance ◽  
Betatron Coupling

scholarly journals Non- linear stability of triangular librations points in circular restricted three body under radiating and oblate primaries in presence of resonance

2015 ◽  
Vol 3 (2) ◽  
pp. 58
Author(s):  
Ashutosh Narayan ◽  
Nutan Singh
Keyword(s):  
Radiation Pressure ◽  
Fourth Order ◽  
Nonlinear Stability ◽  
Binary Systems ◽  
Normal Forms ◽  
Boundary Region ◽  
Third Order ◽  
Order Resonance ◽  
The Stability ◽  
Three Body

<p>The nonlinear stability of the triangular librations points is studied in the presence resonance considering both the primaries as radiating and oblate. The study is carried out for various values of radiation pressure and oblateness parameter in general and binary systems in particular. It is found that the normal forms of the Hamiltonian contains both the resonance cases; ω<sub>1</sub>= 2ω<sub>2 </sub>and ω<sub>1</sub>= 3ω<sub>2</sub>. The case ω<sub>1</sub>= ω<sub>2</sub> corresponds to the boundary region of the stability for the system.It is investigated that for the motion is unstable for third order resonance but stable for fourth order resonance.</p>

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