The time period `T` of the moon of planet mars (mass `M_(m)`) is related to its orbital radius `R` as (`G`=gravitational constant)

Consider a planet of mass (m), revolving round the sun. The time period (T) of revolution of the planet depends upon the radius of the orbit (r), mass of the sun (M) and the gravitational constant (G). Using dimensional analysis, verify Kepler' third law of planetary motion.

Find the dimensions of K in the relation T = 2pi sqrt((KI^2g)/(mG)) where T is time period, I is length, m is mass, g is acceleration due to gravity and G is gravitational constant.

The acceleration due to gravity'g' for objects on or near the surface of earth is related to the universal gravitational constant 'G' as ('M' is the mass of the earth and 'R' is its radius):

What is the mass of the planet that has a satellite whose time period is T and orbital radius is r ?

What is the mass of the planet that has a satellite whose time period is T and orbital radius is r ?

The period of revolution of a satellite depends upon the radius of the orbit, the mass of the planet and the gravitational constant. Prove that the square of the period varies as the cube of the radius.

For a planet of mass M, moving around the sun in an orbit of radius r, time period T depends on its radius (r ), mass M and universal gravitational constant G and can be written as : T^(2)= (Kr^(y))/(MG) . Find the value of y.

A planet moves around the sun in nearly circular orbit. Its period of revolution 'T' depends upon. (i) radius 'r' or orbit, (ii) mass 'm' of the sun and. (iii) The gravitational constant G show dimensionally that T^(2) prop r^(3) .

A planet moves around the sun in nearly circular orbit. Its period of revolution 'T' depends upon. (i) radius 'r' or orbit, (ii) mass 'm' of the sun and. (iii) The gravitational constant G show dimensionally that T^(2) prop r^(3) .