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The βr = 2/3 resonance line is not present in the viewed voltage range when the A3 coefficient is between 3.5 and 4.75, and the βr + βz = 1 resonance line becomes evident in this same range with the toroidal hexapole contribution is greater than 4.25.
Scheme 1 Resonance structures of imidazo[1,2-a]pyridine. Figure 2 Mesoionic structure of 3-acyl oxazolo[3,2-a]pyridinium-2-olate 3 and 2-phenyl imidazo[1,2-a]pyridine with ring atoms numbered for the dihedral angle analysis.
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The major gap at the 4 1 resonance defines the nearest extent of the main belt; the gap at the 2 1 resonance, the farthest extent.
The asteroid is thus said to be in a three-to-one (written 3 1) resonance orbit with Jupiter.
Although the asteroid Griqua librates around the 2 1 resonance with Jupiter, and Alinda librates around the 3 1 resonance, the orbital commensurabilities 2 1, 7 3, 5 2, and 3 1 are characterized by an absence of asteroids in an otherwise rather highly populated, uniform distribution spanning all of the commensurabilities.
The boundary region at the outer edge of the B ring and the inner edge of the Cassini division is in a 2 1 resonance with Mimas, meaning that the orbital period of Mimas is twice that of the ring particles located at that radius.
Additionally, based on the reduced model, the bifurcation and stability of the two cases (1 1 resonance and 2 1 resonance) are analyzed.
The physical phenomena are due to a 1 1 resonance of the modes.
In this paper, the characteristics of 2 1 resonance of Molniya satellite orbits are studied.
The results by the analytical method agree well with those by the numerical simulation, both revealing the 2 1 resonance architecture.
In the numerical integrations over 107 yr, we found that all the stable orbits are connected with the 2 1 resonance.
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