9) A satellite is placed in equatorial orbit above Mars, which has a radius of 3

Question

9) A satellite is placed in equatorial orbit above Mars, which has a radius of 3397 km

and a mass MM = 6.40 ´ 1023 kg. The mission of the satellite is to observe the

Martian climate from an altitude of 488 km. What is the orbital period of the

satellite?

a. 3.62 ´ 103 s
b. 1.08 ´ 105 s
c. 7.27 ´ 1012 s
d. 7.36 ´ 103 s
e. 9.18 ´ 102 s

10) A satellite that orbits the earth at a radius of 4.0 ´ 107 m. The mass of the earth is 5.98 ´ 1024 kg. What is the orbital speed of the satellite?

a. 5.23 ´ 103 m/s
b. 1.02 ´ 103 m/s
c. 7.41 ´ 103 m/s
d. 6.55 ´ 103 m/s
e. 3.16 ´ 103 m/s

Explanation / Answer

9) orbital speed =(GM/r)

r=3885000 meters

orbital time = 2r/(GM/r) = 2rr / GM = 48113551845/6535074 = 7362 sec (option d)= 2hr 2min

10)orbital speed =(GM/r) = 3.158*10^3 m/s (option e)

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