
Physics Lesson 12/1
Presentation
•
Physics
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10th - 12th Grade
•
Easy
Standards-aligned
Bryan Hood
Used 5+ times
FREE Resource
14 Slides • 3 Questions
1
Physics Lesson 12/1
Orbits of Planets and Satellites
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Open Ended
Journal - Chop Wood Carry Water
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Classroom Discussion
Could you theoretically shoot a cannon ball around the world?
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Orbits of Planets and Satellites
The planet Uranus was discovered in 1781
By 1830, it was clear that the law of gravitation didn't correctly predict its orbit
Any guesses as to why the law didn't work on Uranus?
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Orbits of Planets and Satellites
Two astronomers proposed that Uranus was being attracted by the Sun (Normal Gravity) and and by an undiscovered planet.
In 1845, they calculated the orbit of such a planet
One year later, astronomers at the Berlin Observatory found the planet now called Neptune.
How is it possible for planets such as Neptune and Uranus to stay in orbit around the Sun?
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Newton and Cannonballs
Back to our opening question...
Newton used a drawing similar to the one on the right to illustrate a "thought experiment" on the motion of satellites.
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Newton and Cannonballs
Imagine a cannon perched high on a mountain, firing a cannonball horizontally with a given horizontal speed.
The cannonball is a projectile, and its motion has both vertical and horizontal components.
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Newton and Cannonballs
Like all projectiles on Earth, the cannonball would follow a parabolic projectile and fall to Earth. (Trajectory A)
But what if we increased the horizontal velocity of the cannonball?
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Newton and Cannonballs
Then we end up with something like Trajectory B. It still will fall to Earth, travelling in a parabolic Earth, yet it travels farther.
Now, what if we use an EXTREMELY powerful cannon, the cannonball could make it all the way around the Earth (Trajecxtory C)
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Newton and Cannonballs
It would fall toward Earth at the same rate that Earth's surface curves away.
In other words, the curvature of the projectile would curvature of the Earth
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The Cannonball would be in
ORBIT!
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The problem with Newton and Cannonballs
Newton's "thought experiment" ignored air resistance.
For the cannonball to be free of air resistance it would have to be more than 150 km above the Earth's surface.
For comparison, Mount Everest is 8.85 km in height.
If a cannonball or any other object or satellite was launched at this height, it could orbit the Earthj.
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A satellites speed.
A satellite in an orbit that is always the same height above Earth moves in uniform circular motion.
Solving for the speed of a satellite in circular orbit about Earth (v) yields the following..
v=rGmE
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A satellite's orbital period.
A satellite's orbit around teh Earth is similar to a planet's orbit around the Sun. The equation is very similar to the equation we learned yesterday with a minor modification.
T=2πGmEr3
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Open Ended
Assume that a satellite orbits Earth 225 km above its surface. Given that the mass of Earth is 5.97 X 1024 kg and the radius of Earth is 6.38 X 106 m, what are the satellite's orbital speed and period?
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Practice Problems
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Open Ended
Exit Ticket - What is meant by the Period of a Satellite?
Physics Lesson 12/1
Orbits of Planets and Satellites
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