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Invertis Journal of Science & Technology
Year : 2017, Volume : 10, Issue : 1
First page : ( 1) Last page : ( 14)
Print ISSN : 0973-8940. Online ISSN : 2454-762X.
Article DOI : 10.5958/2454-762X.2017.00001.4

Effect of resonance on the motion of two symmetrical rigid rods

Hassan M.R.1,*, Kumari B.2, Sharma B.K.3, MD. Hassan Aminul4, Aneja N.5

1P.G., Department of Mathematics, S. M. College, Bhagalpur-812001, India

2T. M. Bhagalpur University, Bhagalpur-812007, India

3Department of Mathematics, SBS College, University of Delhi, India

4GTE, Yeshwanthpur, Bangalore-560022, Karnataka, India

5University of Delhi, New Delhi, India

*E-mail: hassansmc@gmail.com

Online published on 9 March, 2017.

Abstract

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 θA0, ϕA0, ψA0 and θB0, ϕB0, ψB0. We have also determined the amplitude and time period for the resonance 2: 1.

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Keywords

Resonance, Rigid Bodies, Eulerian Angles, Inertia Ellipsoid.

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