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M. A. Jalali B. Mehri S. H. Pourtakdoust 《Celestial Mechanics and Dynamical Astronomy》1995,63(3-4):271-287
Existence of periodic orbits inside elliptical galaxies has been investigated. Necessary conditions for regular, small amplitude periodic motion around the center of galaxy have been derived using implicit functions and solved by approximating through Taylor's series. The solution procedure requires to obtain functions of partial derivatives of dependent variables with respect to initial conditions. Derivation of these functions can be accomplished through solving a set of ordinary differential equations by proper choices of associated initial conditions. The results obtained show complete agreement with those obtained through the application of Poincaré-Lindstedt's method. 相似文献
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Abdi-Dehkordi Mehri Bozorg-Haddad Omid Salavitabar Abdolrahim Mohammad-Azari Sahar Goharian Erfan 《Natural Hazards》2021,108(3):2543-2567
Natural Hazards - Decreasing flood damages in a basin and achieving sustainable development reveal the necessity of integrated management of flood. Integrated flood management requires the... 相似文献
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