Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola

• Main Authors: Chowdhury, Md. Sazzad Hossien, Hosen, Md. Alal, Ali, Mohammad Yeakub, Ismail, Ahmad Faris
• Format: Conference or Workshop Item
• Language: English; English; English
• Published: American Institute of Physics 2017
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/60719/1/AIP%20Conference.pdf; http://irep.iium.edu.my/60719/12/60719-Higher-order%20analytical%20solutions%20for%20the%20equation%20SCOPUS.pdf; http://irep.iium.edu.my/60719/18/60719%20Higher-Order%20Analytical%20Solutions%20%20WOS.pdf; http://irep.iium.edu.my/60719/; http://dx.doi.org/10.1063/1.4980866

In the present paper, a novel analytical technique to obtain higher-order approximate solutions for the equation of motion of a particle on a rotating parabola has been introduced, which is based on an energy balance method (EBM). The results are valid for small as well as large oscillation of initi...