A geosynchronous orbit is an orbit in which the satellite remains over the same spot on the planet as the planet turns. This is accomplished by matching the velocity of the satellite to the velocity of the turning planet. The orbital radius of a geosynchronous satellite is 4.23×10^7 m (measured from the center of the earth). What is its period?

Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital period of 3.87 Earth years in a circular orbit around its star, which has a measured mass of 3.77×10^30 kg. Find the radius r of the exoplanet's orbit.

A satellite is launched to orbit the Earth at an altitude of 1.80 x 107 m for use in the Global Positioning System (GPS). Take the mass of the Earth to be 5.97 x 1024 kg and its radius 6.38 x 106 m. (a) What is the orbital period of this GPS satellite? h (b) With what speed does it orbit the Earth? m/s

The orbit of the moon around the earth is approximately circular, with a mean radius of 3.85 x 108 m. It takes 27.3 days for the moon to complete one revolution around the earth. Find the average orbital speed of the moon.

A satellite circles the earth in an orbit whose radius is 3.35 times the earth's radius. The earth's mass is 5.98x1024kg, and its radius is 6.38x106m. What is the period of the satellite?

Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).

A solid uniform sphere has a mass of 4.00 x 10* kg and a radius of 1.5 m. (Use the following as necessary: r and m. Assume SI units. Do not enter units in your ansWers.) (a) What is the magnitude of the gravitational force due to the sphere on a particle of mass m located at a distance of 1.6 m from the center of the sphere? F = N. (b) What if it is 1.4 m from the center of the sphere? F = N. (c) Write a general expression for the magnitude of the gravitational force on the particle at a distancer 1.5 m from the center of the sphere. F = Additional Materials eBook Powers of Ten

Based on Kepler's laws and information on the orbital characteristics of the Moon, calculate the orbital radius for an Earth satellite having a period of 1.00h. What is unreasonable about this result?

Two satellites travel along the same circular orbit of radius  4.7*10^4 km centred at the Earth. The distance between the satellites, measured along their orbit, is 59, 000  km. Determine the angular separation of the two satellites in radians.

An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 1810 × 103 seconds (about 21 days) on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 255.0 × 106 m and the planet has a radius of 3.30 × 106 m, calculate the moon's radial acceleration ?cac.