Kepler's Law of planetary motion

Kepler's Law of planetary motion

There are three Kepler's Law:-

Kepler's 1st law

The orbit of each planet is ellipse with the sun at one focus.

It is based on law of conservation of energy.

Kepler's 2nd  law

The orbital radius of a planet sweeps out equal area in equal time interval.

This law is based on law of conservation of angular momentum.

Kepler's 3rd law

Also known as law of periods

The ratio of the square of planet period (T^2) to the cube of semi major axis of it's orbit (a^3) is constant.

[{(T^2)/(a^3)}=Constant]

We can better understand Kepler's Law through this video.

Kepler's Law

https://youtu.be/mDHPziSaNlU

Bode's law

Bode's law

Bode's law states that the distance between second planet to the sun is approximately double then the distance between first planet from the sun.

In other words we can say that Bode's law is nothing but just an expression to calculate the distance between planet and the sun in Astronomical unit.

Formula:-

Here dn is the distance in astronomical unit

    n =1 for mercury

    n=2 for Venus

    n=3 for Earth 

    n=4  for Mars

    n=5 for astroid belt 

    n=6 for Jupiter

    .........

    n=9 for Neptune

   Bode's law