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.