Scientific Research Publishing

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=47456#.VFm2VmfHRK0 Author(s) Haiduke Sarafian Affiliation(s) Pennsylvania State University, University College, York, USA . ABSTRACT Motion of a point-like massive particle under the influence of two nonidentical linear springs conducive to an irregular planar oscillation is analyzed. For a two dimensional oscillations the equation of motion is a coupled highly nonlinear differential equation. The set of equations cannot be solved analytically. Utilizing a Computer Algebra System (CAS) such as Mathematica [1] we solve the equations numerically. Kinematics of the particle is presented. For a comprehensive visual understanding the osc...

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=50450#.VD9yCFfHRK0 Author(s)     Haiduke Sarafian Affiliation(s) The Pennsylvania State University, University College, York, USA . ABSTRACT In polar coordinate system, we consider fifteen classes of forces resulting in unlimited undiscovered orbitals. The classic conic orbits are one of the special subclasses of the fifteen classes. Among the rest of the forces, we show a few instances displaying typical fresh orbitals. Aside from the common theoretical foundation, the specifics of the orbitals are given by the solution of corresponding equations of motion. These are coupled nonlinear differential equations. Solving these equations numerically, utilizing ...