#### Reduced Mass and Binary Star Systems - Part 3

I finish up the discussion of binary star systems by going over some of the properties of the equations that I derived last week. I then present the results in the context of Kepler's laws.

I finish up the discussion of binary star systems by going over some of the properties of the equations that I derived last week. I then present the results in the context of Kepler's laws.

I derive the equations that describe the orbit of a binary star system.

I explain the concept of reduced mass and then demonstrate how it is used in the context of binary star systems.

I go through the Cartesian sign convention that is used in the derivation of apparent depth.

I review J.J. Thomson's derivation of the Larmor formula.

I set up the classical electromagnetic Hamiltonian and use it to derive the Lorentz force.

I analyze some of the commutation relations in the presence of spin-orbit interaction and explain some of their consequences.

I derive the methodology behind the finite difference method and then use it to solve the one-dimensional, time-independent Schrodinger equation.

I continue my discussion of the Pauli matrices and their relation to Lie Groups, focusing on the SU(2) group.

I explore some of the subtle nuances of the Pauli vector that are sometimes glossed over in graduate level courses. This post will prepare us to talk about Lie groups and Lie algebras next week.