Suppose there existed a planet that went around the sun twice as fast as the earth.What would be its orbital size as compared to that of the earth?

What is the orbital velocity for a satellite orbiting close to the surface of earth?

A planet has twice the values of mass and radius of earth. Acceleration due to gravity on the surface of the planet is :

The escape velocity from the earth is V. What is the escape velocity from a planet whose mass and radius is twice those of the earth ?

A planet revolves around a massive star in a highly elliptical orbit. Is its angular momentum conserved over the entire orbit?

If earth were to shrink suddenly, what would happen to the length of the day?

As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly 36,000 km from the surface of the earth. What is the potential due to earth’s gravity at the site of this satellite? (Take the potential energy at infinity to be zero). Mass of the earth = 6.0 xx 10^24 kg, radius = 6400 km

A black hole is a body from whose surface nothing may ever escape. What is the condition for a uniform spherical mass M to be a black hole? What should be the radius of such a black hole if its mass is the same as that of the Earth?

The mass and diameter of a planet are twice those of earth. The period of oscillation of a second pendulum on the planet is