Question

express Kepler's law all three laws​

Answer 1

$\mathtt{\bf{\underline{\red{Kepler's\:Three\:Laws\:Of\:Planetary\:Motion :-}}}}$

$\mathtt{\bf{\large{\underline{\pink{1.\:Law\:Of\:Orbit:-}}}}}$

➝ Each planet revolves around the sun in an elliptical orbit when the sun is situated at one of the two focii.

• The orbit nearer to sun is perihelion.

• The orbit farther to sun is aphelion.

$\mathtt{\bf{\large{\underline{\blue{2.\:Law\:Of\:Area:-}}}}}$

➝ The radius drawn from the sun to a planet sweeps out equal area in equal interval of time , the areal velocity remains constant.

$\mathtt{\bf{\large{\underline{\green{3.\:Law\:Of\:Perod:-}}}}}$

➝ The square of the period of revolution of a planet around the sun is propotional to the cube of the semimajor axis of its elliptical orbit.

• T = Period of revolution

• R is the length of semi major axis of elliptical orbit,

T ² ∝ R³

T ² = K R³

where, k is constant of propotionality constant.

$\dfrac{ {T1}^{2} }{ {T2}^{2} } = \dfrac{ {R1}^{3} }{ {R2}^{3} }$

The larger the distance from sun larger the period of revolution of a planet around the sun.

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