Week 14 (Apr. 13 - 17)

Read: Planetary motion (ASGv2 Chap. 26), Universal Gravitation (ASGv2 Chap. 27)

Key topics: Kepler's laws of motion, Newton's universal law of gravitation

PHY 201 lecture: Kepler's second law from conservation of angular momentum
Homework:
  1. Phases of the moon (Ex. 26.1)
  2. Phases of Venus (Ex. 26.2)
  3. Force of gravity and Modified Kepler's law: Suppose that it was discovered that the planets obey a modified form of Kepler's law: (T_1/T_2) = (a_1/a_2)^(2), instead of Kepler's law, that (T_1/T_2) = (a_1/a_2)^(3/2). What would you infer about the force holding the planets in orbit from this? Would it still be a 1/r^2 force? (Hint: think about Corollary 6 of Theorem 4 in Book 1 of Newton's Principia.).

Centripetal Force Laboratory:
(Ex. 24.4). See the videos here:









Chapter 26:
Four videos on planetary motion









Chapter 27: Six videos explaining how Newton arrived at his universal law of gravitation.

















Physics 1