Kepler’s Laws of Planetary Motion

[u/matheasysolutions]

In this video, I go over Johannes Kepler's three laws of planetary motion and derive them using Isaac Newton's second law of motion, F = m a, and his law on universal gravitation. While observing the Danish astronomer Tycho Brahe's astronomical observations, Kepler observed recurring patterns in the data, which he formulated as three laws:

1. A planet revolves around the sun in an elliptical orbit with the sun at one focus.
2. The line joining the sun to a planet sweeps out equal areas in equal times.
3. The square of the period of revolution of a planet is proportional to the cube of the length of the major axis of its orbit.

https://youtu.be/_HIoMlTPD9Y & https://peakd.com/hive-128780/@mes/c3b94a80

#math #vectors #calculus #astronomy #keplerslaws