Use circular and orbital motion equations and an understanding of a satellite as a free-falling object to solve the following problems.
Determine the orbital speed (in mi/hr) of a 460-kg satellite that orbits Earth at location that is 1230 miles above Earth's surface. Use the Table of Planetary Data and the fact that 1.0 mile = 1609 m and 1.0 m/s = 2.24 mi/hr.
Orbital Speed
mi/hr
Consider an orbital location 2400 miles above the Moon's surface. Given that 1 mile = 1609 m, use the Table of Planetary Data to calculate …
… the distance of this location from the center of the Moon.
Moon-Satellite Distance
m
… the acceleration of gravity at this location.
Acceleration of Gravity
m/s/s
The acceleration of gravity on Earth's surface is 9.8 m/s/s but the value decreases with increasing distance from Earth's center. Determine the altitude above the Earth's surface that you must be located to experience an acceleration of gravity of 1.72 m/s/s. Express your answer in terms of Earth-radii; that is, express the answer as the number of times greater than 6.38x106 m.
Distance from Surface
* Earth-radii
A satellite orbits Earth at a location of 296 km above its surface. Use orbital equations to determine the …
(Given: G = 6.674x10-11 N·m2/kg2; MEarth = 5.974x1024 kg; REarth = 6.378x106 m )
… the orbital radius of the satellite. (Consider using the scientific notation entry field to express your answer.)
Orbital Radius
… the orbital speed of the satellite.
m/s
… the orbital period of the satellite (in seconds).
Orbital Period
s
… the orbital period of the satellite (in hours).
hrs
Geostationary satellites are satellites which are orbiting the Earth above the equator and make one complete orbit every 24 hours. Because their orbital period is synchronized with the Earth's rotational period, a geostationary satellite can always be found in the same position in the sky relative to an observer on Earth. (GIVEN: MEarth = 5.98 x 1024 kg)
Determine the orbital radius of a geostationary satellite.
Determine the orbital speed of a geostationary satellite.
Determine the acceleration of a geostationary satellite.
Orbital Acceleration
A satellite with a mass of 535 kg is in circular orbit about the Earth at a height above the Earth equal to 1.30 times the mean radius of the earth. (Rearth = 6.38x106 m and MEarth = 5.98x1024 kg). Determine the …
… distance of the satellite from Earth's center (in m). Consider using the scientific notation entry field to express your answer.
Earth-Satellite Distance
… the satellite's orbital speed.
… the satellite's orbital period (in minutes).
… the gravitational force (in Newtons) acting upon the satellite.
Force of Gravity
N