A Novel Potential Featuring Off-Center Circular Orbits

Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits.

We present the results of a theoretical investigation of the dynamics of a droplet walking on a vibrating fluid bath under the influence of a harmonic potential. The walking droplet's horizontal motion is described by an integro-differential trajectory equation, which is found to admit steady orbital solutions. Predictions for the dependence of the orbital radius and frequency on the strength o...

Orbital phasing of satellites on circular orbits

Circular Orbits Inside the Sphere of Death

A wheel or sphere rolling without slipping on the inside of a sphere in a uniform gravitational field can have stable circular orbits that lie wholly above the “equator”, while a particle sliding freely cannot.

Podophyllotoxin: a novel potential natural anticancer agent

Objective: The aim of the present review is to give an overview about the role, biosynthesis, and characteristics of Podophyllotoxin (PTOX) as a potential antitumor agent with particular emphasis on key biosynthesis processes, function of related enzymes and characterization of genes encoding the enzymes. Materials and Methods: Google scholar, PubMed and Scopus were searched for literatures wh...

Circular and Elliptic Orbits in a Feedback-mediated Chemostat

A chemostat with two organisms competing for a single growthlimiting nutrient controlled by feedback-mediated dilution rate is analyzed. A specific feedback function is constructed which yields circular and elliptical periodic orbits for the limiting system. A theorem on the stabilization of periodic orbits in conservative systems is developed and for a given elliptical orbit, the result is use...