Kepler's Laws of Planetary Motion

Questions and Answers

The orbit of each planet is an ellipse with the sun at one of its foci.

The line joining a planet to the sun sweeps equal areas in equal times.

The square of the orbital period is proportional to the cube of the radius of the orbit.

Any celestial object that orbits another planet. Signup and view all the answers

An object created by humans and launched into outer space to carry out a particular task. Signup and view all the answers

False Signup and view all the answers

Using Newton's Universal Law of Gravitation. Signup and view all the answers

The minimum velocity required to overcome the gravitational force and escape from the Earth's gravitational pull. Signup and view all the answers

v = √(GM/r) Signup and view all the answers

v = √(2GM/r) Signup and view all the answers

They maintain a fixed position relative to the Earth. Signup and view all the answers

Study Notes

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)

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