On stability of the collinear libration points under internal third-order resonance

2011 ◽  
Vol 72 (9) ◽  
pp. 1906-1910
Author(s):  
N. V. Tkhai
Keyword(s):  
Libration Points ◽  
Third Order ◽  
Order Resonance

A Pulse Stretcher by Slow Extraction Utilizing the Third-Order Resonance with the RF Knockout Method

2002 ◽  
Vol 41 (Part 1, No. 4A) ◽  
pp. 2276-2284
Author(s):  
Takashi Sugimura ◽  
Akio Morita ◽  
Hiromu Tongu ◽  
Toshiyuki Shirai ◽  
Yoshihisa Iwashita ◽  
...  
Keyword(s):  
Third Order ◽  
Order Resonance ◽  
The Third ◽  
Slow Extraction

scholarly journals Measurement and Correction of Horizontal Third Order Resonance Driving Term in the RHIC run 06*

2007 ◽  
Author(s):  
Luo Y. ◽  
M. Bai ◽  
R. Calaga ◽  
J. Bengtsson ◽  
W. Fischer ◽  
...  
Keyword(s):  
Third Order ◽  
Order Resonance

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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