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Journal of Physics and Astronomy Research
Mechanical wave descriptions for planets and asteroid fields: kinematic model for tidal wave at Earth
Lena J-T Strömberg
Previously Department of Solid Mechanics, Royal Institute of Technology, KTH, Sweden
Accepted 30 March, 2015
Citation: Strömberg L (2015). Mechanical wave descriptions for planets and asteroid fields: Kinematic model for tidal wave at Earth. Journal of Physics and Astronomy Research, 2(2): 067-069.
Copyright: © 2015 Strömberg L. This is an open-access article distributed under the terms of the creative commons attribution license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.
Models with wave dynamics and oscillations in the solar system are presented. A solitonial solution (Korteweg-de Vries), for a density field, is related to the formations of planets. A new nonlinear equation for a solitonial, will be derived, and denoted ‘J-T equation’. The linearized version has solutions, which are small vibrations with eigen frequency proportional to the parameters describing the solitonial wave, around a constant level, which is 2/3 of the maximum solitonial density. The location and orbital motion of Mercury and Venus are compared with wave dynamics. The tidal effect for Earth is analysed in terms of dynamics. Related phenomena for other planetary objects are discussed in conjunction with assuming a Roche limit.
Keywords: Solitonial, Korteweg-de Vries, wave velocity, J-T equation, oscillation, Tidal effects, Roche limit