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Questions and Answers
What is Kepler's First Law?
What is Kepler's First Law?
The orbit of each planet is an ellipse with the sun at one of its foci.
What does Kepler's Second Law state?
What does Kepler's Second Law state?
The line joining a planet to the sun sweeps equal areas in equal times.
What does Kepler's Third Law involve?
What does Kepler's Third Law involve?
The square of the orbital period is proportional to the cube of the radius of the orbit.
What is a natural satellite?
What is a natural satellite?
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What is a man-made satellite?
What is a man-made satellite?
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Man-made satellites move in orbit at a constant linear speed.
Man-made satellites move in orbit at a constant linear speed.
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How can the linear velocity of a satellite be determined?
How can the linear velocity of a satellite be determined?
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What is escape velocity?
What is escape velocity?
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What is the formula for linear speed of a geostationary satellite?
What is the formula for linear speed of a geostationary satellite?
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What is the escape velocity formula?
What is the escape velocity formula?
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Which of the following statements are true regarding geostationary satellites? (Select all that apply)
Which of the following statements are true regarding geostationary satellites? (Select all that apply)
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Study Notes
Kepler's Laws of Planetary Motion
- The orbit of each planet is an ellipse with the sun at one of its foci (Kepler's First Law)
- The line joining a planet to the sun sweeps equal areas in equal times (Kepler's Second Law)
- The square of the orbital period is proportional to the cube of radius of the orbit (Kepler's Third Law)
Man-Made Satellites
- A natural satellite is any celestial object that orbits another planet (e.g. the moon orbits the Earth)
- A man-made satellite is an object created by humans and launched into outer space to carry out a particular task
- Man-made satellites move in orbit at a certain linear speed
- The linear velocity of the satellite can be derived with the use of Newton's Universal Law of Gravitation
- The linear velocity will change when the satellite moves in its orbit around the Earth
- Escape velocity is the minimum velocity required to overcome the gravitational force and escape from the Earth's gravitational pull
- There are two types of geostationary satellites that orbit the Earth
- The formula for geostationary satellites is: v = √(GM/r), where v is the linear speed of the satellite, G is the Gravitational Constant, M is the Mass of the Earth, and r is the Radius of the orbit
- The formula for escape velocity is: v = √(2GM/r), which is the minimum kinetic energy required to overcome the gravitational pull of the Earth to go into outer space
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Description
Test your knowledge of Kepler's three laws of planetary motion, including the shape of orbits, equal areas in equal times, and the relationship between orbital period and distance from the sun.