Effect of Resonance on the Motion of Two Symmetrical Rigid Rods

M. R. Hassan; B. Kumari; B. K. Sharma; Md. Aminul Hassan; N. Aneja

Effect of Resonance on the Motion of Two Symmetrical Rigid Rods

M. R. Hassan ¹, B. Kumari ², B. K. Sharma ³, Md. Aminul Hassan ⁴, N. Aneja ⁵

Affiliations
1 P.G. Department of Mathematics, S. M. College, Bhagalpur-812001, India
2 T. M. Bhagalpur University, Bhagalpur-812007, India
3 Department of Mathematics, SBS College, University of Delhi, India
4 GTE, Yeshwanthpur, Bangalore-560022, Karnataka, India
5 University of Delhi, New Delhi, India

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In the paper, we have discussed the effect of resonance in the motion of two symmetrical rods in the light of Hassan et al. (2016), Bhatnagar (1978) and Sharma et al. (2009). Here we have calculated variation in the Eulerian angels due to resonance in terms of orbital elements a, e, ω, τ and unperturbed Eulerian angels θ_A₀, φ_A₀, ψ_A₀ and θ_B₀, φ_B₀, ψ_B₀. We have also determined the amplitude and time period for the resonance 2:1.