Here we lay out Newton's law of gravity and crack open the universe of consequences that spring from it. On the journey we'll come to understand planetary phenomena likes tides and atmospheres, the rich geometry of heavenly bodies and their motion, and the engineering considerations of space travel.
The problems are a natural starting point to develop new physical ideas like angular momentum and elegant pieces of mathematics like Gauss' law.
Python based programming projects, you'll code simulations to explore applied problems where the math falls short.
At various points, you'll derive pieces of general relativity, and catch a glimpse of the places where Newton's law starts to buckle.
Newton's greatest idea unified the physics of the heavens and Earth. Here we introduce Newton's theory, and then take him to meet Einstein.
Here we reimagine the force of gravity as a Universe-filling field, and develop powerful methods to solve hard problems.
The eternal dance of celestial bodies in the night sky spawned science as we know it. In this chapter, we develop the tools to predict them.