January 21, 2004 12:15 PM
Orbital Mechanics Objectives
(Newton and Kepler)
Honors: Pgs 94-97 and 141 & 260
Advanced: pgs. 263 -266
Students will be able to:
- Define what an "Inverse Square" Law is.
- Use the generic inverse square law to solve word problems
- Define the formula for Newton's Law of Universal Gravity.
- Calculate the gravitational pull between 2 objects with mass.
- Define the relationship between "g," 9.80 m /s 2 , and The Law of Universal Gravity.
- Identify the relationship between centripetal force and gravity for orbiting satellites.
- Use the Law of Universal Gravity and Circular motion concepts to solve orbital mechanics problems.
- Define Kepler's 3 Law of Planetary motion by number .
- When given the location of one object being orbited by a satellite in an eccentric elliptical orbit, identify the location of the other orbited body.
Givens: (Do not memorize.)
G = 6.673 x 10 -11 (N·m 2 )/kg 2
Earth's Radius: 6.37 x 10 6 m Earth's Mass: 5.98 x 10 24 kg Orbit: 1.50 x 10 11 m
Moon's Radius: 1.74 x 10 6 m Moon's Mass: 7.35 x 10 22 kg Orbit: 3.85 x 10 8 m
Sun's Radius: 6.96 x 10 8 m Mass: 1.99 x 10 30 kg
- A spaceship is traveling to a planet called Orphius. The astronauts aboard the ship have a weight of 250 N at one point in their flight. Later they are 5 times closer than when they made the first weight measurement. What will be the new weight at this closer distance?
- On the Surface of the Earth a test pilot has a weight of 965 N. In an effort to earn her astronaut wings, our pilot travels the necessary distance of 1 000 000 ft above the Earth's surface to be recognized for astronaut wings.
- What is the ratio of the two radii?
- What was her weight at this altitude?
- Calculate the value of "g" using the Earth's radius and its mass.
- The Hubble Telescope orbits the Earth 598 km above the surface. How fast is it traveling to stay in its stable orbit?
- At one time an infamous coputer company had an idea to put its own satellite in a low orbit about 25 km above the Earth's Surface. How fast would these satelites travel.
- A communications satellite stays in the same spot in the sky above the Earth's surface. It also takes 24 hours to complete a single orbit -just like the Earth's rotation. Thisorbit is unique and called a "geosynchronous orbit." How high above the Earth's surface is the satellite orbiting?
by Tony Wayne ...(If you are a teacher, please feel free to use these resources in your teaching.)