The Coulomb Problem Solved With Python
In gravitational physics as well as electrodynamics, there is a problem with arises all too often. This is called Coulomb's problem. In simple words, it is this: suppose you have …
Multipole Moments Make Life Easier
The Multipole Expansion in Python
In electrodynamics as well as in gravitational physics, we are often faced with the problem to calculate some potential (electric or gravitational) based on some distribution of charge or matter. …
Pick's Theorem
A Remarkably Simple Way to Calculate Areas of Any Polygon on a Grid
In the world of mathematics, every so often, we stumble upon ingenious theorems that leave us marveling at the elegance and simplicity with which they solve problems. One such gem …
The Fractal Structure of the Double Compound Pendulum
The double compound pendulum is a fascinating physical system that exhibits chaotic behavior. In a previous article, we solved and animated the double compound pendulum. In this follow-up article, we …
Chaos in Classical Mechanics
The Double-Compound-Pendulum Solved with Python
Classical mechanics is the study of the motion of objects under the influence of forces. While it has been around for centuries, classical mechanics is still a fundamental topic in …