Question

Using a minimum of 250 words, discuss Kepler's laws of planetary motion. How do these laws apply when precisely placing sattelites into orbit? Explain how these calculations are made using sample equations.

Please answer all aspects of question for a thumbs up! Simply copying and pasting Kepler's laws of motion will not suffice!

Answer 1

For finding how kepler laws are helpful to place satellite into orbit, first of all we have to understand the three laws.
Each law has its own significance.
FIrst law - According to first law all the planets moves in a elliptical orbit around the sun where sun is at one of the foci.
Now from this law we have focus of our orbit it means we take sun as our reference while placing the satellite in an orbit.
Now the
Second Law - According to second law the vector joining the satellite to the sun sweeps equal area in equal interval of time i.e its velocity is constant.
Now this Law will help in calculation of time period.
For exammple if we want that our satellite will make three revolution in a day then we can calculate the angular velocity of our satellite.
Now the
Third law - According to this law we have relation between Radius of orbit and the time period.
i.e

Where T is time period and R is radius.
Now we can meausre the radius of orbit of our satellite.
Now looking them all from second law we have time , from third law we have radius of our orbit and from first law we can place it in space.
So in this way with the help of all three law we can place a satellite in space.