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.
Highlights
We investigated the motion of a massive point-like particle under the influence of semi generalized central forces [1] [2]
In a polar coordinate system, we consider that forces are merely radial and distance dependent
Motivated with the outcome of our study, we craft our current analysis. This augments our previous work in three major frontiers
Summary
We investigated the motion of a massive point-like particle under the influence of semi generalized central forces [1] [2]. In a polar coordinate system, we consider that forces are merely radial and distance dependent. The scope of the investigation is F (r ) ~ rnrwhere n is within −4 ≤ n ≤ 2 This specific range includes two particular instances, namely n = ‒2 and 1. The former specifies the gravity and electrostatic forces i.e. the Keplerian forces, and the latter is merely a linear force. Motivated with the outcome of our study, we craft our current analysis This augments our previous work in three major frontiers. We consider radial forces that are not merely distance dependent. Forces such as, F = f (θ ) rand F = f (r,θ ) r , here θ is the polar angle.
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