## Study Plan

#### Learning Goals

By the conclusion of this chapter, you should be able to:
1. Synthesize the concepts of motion and gravitation to explain planetary orbits.
2. Describe how and why objects must achieve a certain speed to go into orbit.
3. Explain how tidal forces are caused by gravity.
4. Illustrate how the relationship between Earth, the Moon, and the Sun causes tides on Earth.

#### Learn

1. Newton's Laws and Universal Gravitation
Section: 4.2
2. Elliptical Orbits
Section: 4.2
3. Tides and the Moon
Section: 4.3
1. Newton's Law of Gravity Calculator
Allows one to calculate the force of gravity acting on a variety of masses over a range of distances.
2. Gravity Algebra
Shows how the force of gravity would be different if the values used in Newton’s law of universal gravitation formula are changed.
3. Planetary Orbit Simulator
Models the motion of a hypothetical planet that orbits the sun according to Kepler’s laws of motion. This simulator includes controls for investigating each of Kepler’s laws, and Newtonian features.
4. Tidal Bulge Simulation
Shows how the Sun, the Moon, and Earth’s rotation combine to create tides.