Dhwani Sheth, V. O. Thomas, Niraj M. Pathak, Elbaz I. Abouelmagd
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Analysis of exterior resonant periodic orbits in the photogravitational ERTBP
In this study, the autonomous elliptical restricted three-body problem is used for obtaining Poincaré surface of sections in the photogravitational Sun–Saturn system. We have found the first-order exterior resonant orbits using the numerical technique of PSS and analysed the effects of eccentricity of the primaries’ orbit, radiation pressure and Jacobi constant on locations, periods, eccentricities and semi-major axes of resonant periodic orbits. It is observed that these orbits surround both primaries for all values of eccentricity of the primaries’ orbit and remain in the first-order exterior resonance with the Saturn.
期刊介绍:
Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.