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LATEST NEWS

The speed of light may have changed recently

New form of loop quantum gravity arrives

For the first time, physicists have observed quantum
states which are quantized under the effect of the gravitational field.

Quantum gravitation states - The vertical motion of ultracold neutrons comes in quantized size.

Dark matter no longer present - Physicists have developed a new model in which behaviour of gravity becomes a bit different at cosmological level leading to the acceleration of the universe.

LAWS OF MOTION
 
 
From here, we get a proof of Kepler’s area law.

 

Consider the figure:

 
 

For small q, OAB can be called a triangle. Now area of DOAB=(1/2)r2sindq.
Since dq is very small, sindq»dq. Therefore, small area dA=(1/2)r2dq.

From (1), we have,
We get the area on integrating.

For ellipse law, assume the Newton’s inverse square law.

Acceleration=-GM/r2. This acceleration is

(the acceleration due to change in radius and due to rotational motion).

Since w = dq/dt,
we have,

                                                                 ....(2)

Using Relation (1),

1   2   3

GALILEO’S INSIGHTS
 
 
 

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