Orbital Motion in Polar Coordinates - Differential Equations and Numerical Solutions

Explore orbital motion in polar coordinates through this 20-minute video tutorial. Learn how to derive differential equations for orbital motion and solve them using numerical calculations in Python. Dive into the fundamentals of polar coordinates, apply Newton's second law, and understand the process of numerical calculation. Examine the provided Python code and learn how to plot r and theta, as well as angular momentum. Gain insights into Kepler's laws of planetary motion and their connection to orbital mechanics. Access additional resources, including related videos on Kepler's laws and a derivation of acceleration in polar coordinates, to deepen your understanding of celestial mechanics.

- Intro
- Polar Coordinates
- Newton's second law
- Numerical Calculation
- Python code
- plotting r and theta
- Plotting angular momentum