# What is Kepler's law of orbital motion?

Kepler's first law: All planets orbit in an ellipse, with the sun at one focus.

Kepler's first law (1609): All planets orbit in an ellipse, with the sun at one focus.

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Kepler's laws of orbital motion describe the motion of planets around the sun. The first law states that planets move in elliptical orbits with the sun at one focus. The second law states that a line segment joining a planet and the sun sweeps out equal areas during equal intervals of time. The third law states that the square of a planet's orbital period is proportional to the cube of the semi-major axis of its orbit.

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- Two objects have masses of #6# #MG# and #8# #MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #340# #m# to #160# #m#?
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- An object with a mass of #2 kg# is revolving around a point at a distance of #5 m#. If the object is making revolutions at a frequency of #1 Hz#, what is the centripetal force acting on the object?
- A model train, with a mass of #16 kg#, is moving on a circular track with a radius of #9 m#. If the train's kinetic energy changes from #45 j# to #9 j#, by how much will the centripetal force applied by the tracks change by?
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