Describe Kepler’s First Law of Planetary Motion.

onsider the satellites of the planets orbiting their respective  host planets while those planets orbit the Sun.  Galileo's observation of Jupiter's "moons" were an inspiration to the development of universal laws of motion and gravity that could describe not only effects here on Earth, but  throughout the universe as well.   Jupiter's satellite Europa has oceans under its ice and may even host life. It orbits the planet on a nearly circular path with a radius of 670,900 km and completes its orbit every 3.55 Earth days.  Use Newton's universal law of gravitation to find the mass of Jupiter.   Knowing Jupiter's mass, and that it orbits the Sun on the average (it has an elliptical orbit with an eccentricity of 0.05)  at 7.8×108 km from the Sun in 11.86 years, what is its angular momentum? Compare Jupiter's orbital angular momentum to the angular momentum of the rotating Sun, which is a spinning sphere of radius 695,700 km and  mass 1.99×1030 kg that completes a turn in 25 days (with…

What was so significant about Tycho Brahe's observations of the position of the planets that enabled Kepler to eventually come up with his theory that planets orbit the Sun in ellipses rather than circles? If Kepler did not have access to Tycho's data, do you think he would have came up with the same theory, or do you think he would have preferred either the Copernican or Ptolemaic theory?

Kepler's 1st law says that our Solar System's planets orbit in ellipses around the Sun where the closest distance to the Sun is called perihelion. Suppose I tell you that there is a planet with a perihelion distance of 2 AU and a semi-major axis of 1.5 AU. Does this make physical sense? Explain why or why not.

What is Keplers second law in your own words

Write down Kepler’s three laws of planetary motion. Why was it important realize that planets farther away from the sun travel slower through space than planets closer to the sun?

Describe your approach to calculation of the gravitational field strength on a planet with a given size (e.g. diameter) and known escape velocity. O a. Use Newton's law of universal gravitation. O b. Use Newton's 3rd law. O c. Use Newton's 1st law. O d Use Newton's 2nd law. O e. Use law of conservation of energy.

Which of the following was NOT done by Galileo Galilei? A. discovering four large moons around Jupiter B. turning the telescope to the sky and believing what it showed his eyes C. explaining retrograde motion with the heliocentric hypothesis D. resolving the Milky Way into many, many stars E. discovering that Venus goes through phases (like the Moon)

How did Newtons law of Gravitation explain Keplers 3rd Law?

Show mathematically how Kepler’s third law can be derived from Newton’s law of universal gravitation. Hint: use the centripetal force (force directed towards the center) which is equal to the gravitational force in orbital motion.