Jacob Schwartz Scientist & HTML fan
Delta V required for low-TWR take off to orbit around a spherical airless world
$\def\i{\mathrm{i}}\def\twr{\mathcal{T}}\def\vn{V}\def\tn{t_o}\def\d#1#2{\frac{d #1}{d #2}}$Getting to orbit from the surface of a body takes fuel, thrust and time. Using a minimum of delta-$v$ (minimum fuel) is generally reckoned to be the best. In this post, we will present limits on the minimum delta-$v$ to get into orbit, given a rocket with... Read more 13 Aug 2016
Probability of a radioactive particle decaying after passing through a surface
A radioactive particle with mean lifetime $\tau$ is a distance $z$ from a planar surface in 3D space. It begins traveling in a constant, uniform random direction at constant velocity $v$. What is the chance it passes through the plane before decaying? Read more 15 Jan 2016