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Learn Statistical Mechanics: The Ideal Gas

Read Part 1: Equilibrium Systems The Ideal Gas: Boltzmann’s Approach (The Microcanonical Ensemble) Consider a monatomic gas of ##N## non-interacting particles with mass ##m## occupying the volume ##V##. Since the particles of the gas do not interact with each other, it is not difficult to explicitly calculate ##\Omega_{E}##. The position of each particle is constrained to…

Learn Statistical Mechanics: Equilibrium Systems

This is the first of a multi-part series of articles intended to give a concise overview of statistical mechanics and some of its applications. These articles are by no means comprehensive of the entire field, but aim to give a clear line of reasoning from Boltzmann’s equation to non-equilibrium statistical mechanics. It is hoped that…

Getting Started with Solar System Imaging

Some of the most visible objects in the sky are objects within our own solar system: including the Sun, moon, and planets. These objects are generally much brighter than most deep-sky objects and in the case of planets, appear much smaller in the sky. These factors have lead amateur astronomers to create specialized imaging methods…