Orbit of the earth around the sun is an ellipse with sun at one of its foci.if the semi major axis is 150 million km and `e=1/60`, find the difference between maximum and minimum distance between the earth and the sun.

Find the gravitational force between the Sun and the Earth.

The earth rotates about the sun in an elliptical orbit. At which point will its velocity be maximum?

Find the equation of the ellipse in standard form if :the length of major axis 10 and the distance between foci is 8.

Find the equation of the ellipse in standard form if the length of major axis 10 and the distance between foci is 8.

If the earth is at one-fourth of its present distance from the sun, the duration of the year would be

The earth moves round the sun in a near circular orbit of radius 1.5 xx 10^11 m. Its centripetal acceleration is

Solve the following examples / numerical problems: Assuming that the earth performs uniform circular motion around the Sun, find the centripetal acceleration of the earth. [Speed of the earth =3 xx10^4 m/s, distance between the earth and the Sun= 1.5xx10^11 m]

The distance between the foci of an ellipse is 16 and eccentricity is 1/2. Length of the major axis of the ellipse is

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : major axis is 10 and distance between foci is 8.

Solve the following examples / numerical problems: Find the magnitude of the gravitational force between the Sun and the earth.( Mass of the Sun =2xx10^30 kg, mass of the earth = 6xx10^24 kg and the distance between the centres of the Sun and the earth = 1.5xx 10^11 m, G =6.67 xx10^-11 N-m^2 /kg^2 ).