Physics – Classical Physics
Scientific paper
2001-10-23
Phys.Rev. E65 (2002) 047602
Physics
Classical Physics
4 pages, twocolumn, accepted at Phys. Rev. E (2002)
Scientific paper
10.1103/PhysRevE.65.047602
We discuss two applications of Riccati equation to Newton's laws of motion. The first one is the motion of a particle under the influence of a power law central potential $V(r)=k r^{\epsilon}$. For zero total energy we show that the equation of motion can be cast in the Riccati form. We briefly show here an analogy to barotropic Friedmann-Robertson-Lemaitre cosmology where the expansion of the universe can be also shown to obey a Riccati equation. A second application in classical mechanics, where again the Riccati equation appears naturally, are problems involving quadratic friction. We use methods reminiscent to nonrelativistic supersymmetry to generalize and solve such problems
Nowakowski Marek
Rosu Haret C.
No associations
LandOfFree
Newton's laws of motion in form of Riccati equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Newton's laws of motion in form of Riccati equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Newton's laws of motion in form of Riccati equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-512263