Gravitation

Kepler's law of planetory motion


  • According to kepler’s first law every planet revolves around the sun in an elliptical orbit with the sun at one of the foci.
  • During the orbital motion of a planet around the sun in an elliptical orbit at a particular instant the planet is very close to the sun, and other particular instant it is for away from the sun.
  • According to keplers second law of motion the line Joining the sun and the planet sweeps out equal one as in equal time intends VA = L/2m.
  • According to second law planets moves faster when it is near to sun and moves slower when it is far away from sun. Vmax rmin = Vmin rmax.
  • According to third law the square of period of revolution of a planet around the sun is proportional to the cube of the mean distance of the planet from the sun T2 ∝ R3

View the Topic in this video From 04:20 To 54:57

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1. Areal velocity of a planet \tt \frac{dA}{dt}=\frac{L}{2m}=constant

2. Law of period \tt T^{2}\propto a^{3}