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Set CG15: Satellite Motion Mathematics

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Use orbital motion equations to relate the orbital radius, orbital speed, orbital period, and the mass of the central body. 

 1. CG15Q1
Points: 0/4

A satellite orbits Earth at a location of 256 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 )

  1. … the orbital radius of the satellite. (Consider using the scientific notation entry field to express your answer.)

    Orbital Radius

    x10^

    m

  2. … the orbital speed of the satellite.

    Orbital Speed

    m/s

  3. … the orbital period of the satellite (in seconds).

    Orbital Period

    s

  4. … the orbital period of the satellite (in hours).

    Orbital Period

    hrs

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 2. CG15Q2
Points: 0/3

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)

  1. Determine the orbital radius of a geostationary satellite.

    Orbital Radius

    x10^

    m

  2. Determine the orbital speed of a geostationary satellite.

    Orbital Speed

    m/s

  3. Determine the acceleration of a geostationary satellite.

    Orbital Acceleration

    m/s/s

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 3. CG15Q3
Points: 0/4

A satellite with a mass of 588 kg is in circular orbit about the Earth at a height above the Earth equal to 1.41 times the mean radius of the earth. (Rearth = 6.38x106 m and MEarth = 5.98x1024 kg). Determine the … 

  1. … distance of the satellite from Earth's center (in m). Consider using the scientific notation entry field to express your answer.

    Earth-Satellite Distance

    x10^

    m

  2. … the satellite's orbital speed.

    Orbital Speed

    m/s

  3. … the satellite's orbital period (in minutes).

    Orbital Period

    m

  4. … the gravitational force (in Newtons) acting upon the satellite. 

    Force of Gravity

    N

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 4. CG15Q4
Points: 0/5

Suppose the International Space Station orbits Earth at an altitude of approximately 447 km above its surface. Earth's radius is 6.37x106 m and Earth's mass is 5.98x1024 kg.

  1. Calculate the orbital radius of the ISS. Consider using the scientific notation entry field to express your answer.

    Orbital Radius

    x10^

    m

  2. Calculate the orbital acceleration (value of g) at the ISS.

    Orbital Acceleration

    m/s/s

  3. Calculate the orbital speed of the ISS.

    Orbital Speed

    m/s

  4. Calculate the orbital period of the ISS (in second). 

    Orbital Period

    s

  5. Calculate the orbital period of the ISS (in hours).

    Orbital Period

    hr

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