- #1
No2
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Homework Statement
A spy satellite is located one Earth radius above the surface of the Earth. What is its period of revolution?
ans. 1.5 x 10^4 s
Homework Equations
I'm trying to use the kepler's constant: k = T^2/R^3
Kepler's Third Law: Homewor Help
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In summary, the conversation discusses the use of Kepler's law and Newton's law of gravitation to determine the period of revolution for a spy satellite located one Earth radius above the surface of the Earth. The equation used is k = T^2/R^3, where k is a constant and T is the period of revolution. The conversation also mentions the use of g as a multiple in determining the force of gravity.
A spy satellite is located one Earth radius above the surface of the Earth. What is its period of revolution?
ans. 1.5 x 10^4 s
I'm trying to use the kepler's constant: k = T^2/R^3
- #2
rock.freak667
Homework Helper
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Kepler's law can be derived by equating the force of attraction with centripetal force
i.e. GMm/r2=mω2r
or GM/r3=(2π/T)2
So what would be your constant or proportionality 'k' if you rearrange to get T2/r3?
i.e. GMm/r2=mω2r
or GM/r3=(2π/T)2
So what would be your constant or proportionality 'k' if you rearrange to get T2/r3?
- #3
tiny-tim
Science Advisor
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Welcome to PF!
Hi No2! Welcome to PF!
(try using the X2 icon just above the Reply box)
Unless you're using the Moon, what T are you going to compare with?
Use the ordinary Newton's law of gravitation to find the force of gravity as a multiple of g (that's our g, not G !), and https://www.physicsforums.com/library.php?do=view_item&itemid=27"
Hi No2! Welcome to PF!
(try using the X2 icon just above the Reply box
)No2 said:
Unless you're using the Moon, what T are you going to compare with?
Use the ordinary Newton's law of gravitation to find the force of gravity as a multiple of g (that's our g, not G !
), and https://www.physicsforums.com/library.php?do=view_item&itemid=27"
Last edited by a moderator:
Related to Kepler's Third Law: Homewor Help
1. What is Kepler's Third Law?
Kepler's Third Law, also known as the Law of Harmony, states that the square of a planet's orbital period is directly proportional to the cube of its semi-major axis. In simpler terms, this law relates the time it takes for a planet to complete one orbit around its star to the distance between the planet and its star.
2. Why is Kepler's Third Law important?
Kepler's Third Law is important because it allows us to calculate the orbital period of a planet based on its distance from its star. This information is crucial in understanding the dynamics and behavior of our solar system and other planetary systems in the universe.
3. How did Johannes Kepler discover this law?
Johannes Kepler discovered this law by analyzing the data collected by his mentor, Tycho Brahe. He noticed that the square of a planet's orbital period was proportional to the cube of its semi-major axis, which led him to formulate the Third Law.
4. How is Kepler's Third Law related to Newton's Law of Universal Gravitation?
Kepler's Third Law is related to Newton's Law of Universal Gravitation because it describes the relationship between the orbital period and distance of a planet, while Newton's Law explains the force that keeps the planet in its orbit around the star.
5. What is the significance of Kepler's Third Law in modern astronomy?
Kepler's Third Law is significant in modern astronomy because it allows us to calculate the orbits of planets and other celestial bodies accurately. This information is crucial in space exploration, satellite communication, and understanding the stability of planetary systems.
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