Sarafian, H., Takato, S., and Kaneko, M. (2014) Central Conservative Forces and Orbits beyond Conic Sections. The Journal of Mathematics and System Sciences, 4, 579-585.
www.davidpublishing.org/journals_info.asp?jId=2039

has been cited by the following article:

• TITLE: Generalized Orbitals under the Influence of 2D Central and Noncentral Forces

  AUTHORS: Haiduke Sarafian

  KEYWORDS: Generalized Orbitals, Noncentral Forces, Mathematica

  JOURNAL NAME: World Journal of Mechanics, Vol.4 No.10, October 14, 2014

  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 a Computer Algebra System such as Mathematica is conducive to the orbits. Simulation of the orbitals provides a visual understanding about the motion under the influence of the generalized noncentral forces.