An asteroid moves around the Sun in a circular orbit. The following data are given: Orbital period of the asteroid = 3.6 years; Sun–Earth distance = 1.5 × 10^11 m Calculate, in m, the radius of the asteroid’s orbit.

A satellite orbits Earth in an elliptical orbit in the direction represented by the arrow. At which position is the kinetic energy of the satellite increasing?

Phobos and Deimos are two moons of Mars that move in approximately circular orbits. The radius of Phobos’ orbit is 9.4 × 10^6 m and its orbital period is 7.7 h. Deimos's orbital period is 30 hours. Calculate the radius of Deimos’ orbit.

Determine the height above sea level at which the gravitational field strength is reduced to 99% of its value at sea level.

A satellite is placed in a circular orbit 100 km above the surface of the Moon. Calculate the orbital period of the satellite. Mass of the Moon = 7.35 × 10^22 kg; Radius of the Moon = 1.74 × 10^6 m

Two asteroids X and Y can be modelled as uniform spheres of the same density. The radius of asteroid X is twice that of asteroid Y. What is the ratio:

An aircraft is flying at an altitude of 10.0 km above sea level. The average radius of Earth is 6370 km. Calculate the ratio:

Phobos and Deimos are two moons of Mars that move in approximately circular orbits. The radius of Phobos’ orbit is 9.4 × 10^6 m and its orbital period is 7.7 hours. Calculate the mass of Mars.

Satellites X and Y move in circular orbits around a planet. The orbital period of satellite X is 16 days. The orbital radius of satellite Y is 1/4 of the orbital radius of satellite X. Calculate the orbital period of satellite Y.