#### Newton's Cupcake

Yesterday at the AAPT 2015 conference, I had a chance to attend a workshop on creating visualizations with the HTML5 canvas. I have created an interactive demonstration of Newton's cannon that launches a cupcake around the Earth.

Yesterday at the AAPT 2015 conference, I had a chance to attend a workshop on creating visualizations with the HTML5 canvas. I have created an interactive demonstration of Newton's cannon that launches a cupcake around the Earth.

I solve the differential equation that describes the motion of an oscillating electron that radiates energy. During this analysis, I describe one of the main pitfalls that people run into when using the self force.

I show off some new concept art for future posts.

I am rolling out new icons to help you sort through the difficulty and content of each blog post.

I derive the expression for the Abraham-Lorentz force (i.e. the self-force) and set up the differential equation for the oscillatory motion of a radiating electron near a charged ring.

I calculate the electric field along the axis of a ring of charge. Then, I derive the equation of motion for an oscillating electron about the center of the ring.

I explain how to recover the equations for Newtonian energy and momentum from the low-speed limit of the Lorentz factor.

I derive the relativistic Doppler shift equation in three different ways. The first derivation uses only the definition of time dilation. The second derivation uses a Lorentz boost along the direction of motion. The third derivation uses the general matrix formalism of special relativity.

I visualize the heat kernel and explain how it is used in the diffusion equation.

I go through some of the properties of the simple magnifier (i.e. a magnifying glass) and derive its angular magnification.