Finding the speed to orbit Deimos

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aron silvester

Homework Statement


They stated in the problem that the radius is 6.3. Why did they multiply it by 10^3 during the calculation?
Textbook worked example 6.14 finding the orbital speed around Deimos: computing surface gravity as GM/R^2 giving 0.0030 m/s^2, then orbital speed v = sqrt(gr) = 4.3 m/s, about 10 mph.


Homework Equations


It's in part 1 and 3.

The Attempt at a Solution


Handwritten derivation of orbital speed around Deimos: v_orbit = sqrt(gr), g = GM/R^2 with G = 6.67 x 10^-11 N·m^2/kg^2, M = 1.8 x 10^15 kg, R = 6.3 x 10^3 m, giving g = 0.0030 m/s^2 and v_orbit = 4.3 m/s, approximately 10 mph.
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  • Textbook worked example 6.14 finding the orbital speed around Deimos: computing surface gravity as GM/R^2 giving 0.0030 m/s^2, then orbital speed v = sqrt(gr) = 4.3 m/s, about 10 mph.
    IMG_1832.jpeg
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  • Handwritten derivation of orbital speed around Deimos: v_orbit = sqrt(gr), g = GM/R^2 with G = 6.67 x 10^-11 N·m^2/kg^2, M = 1.8 x 10^15 kg, R = 6.3 x 10^3 m, giving g = 0.0030 m/s^2 and v_orbit = 4.3 m/s, approximately 10 mph.
    IMG_1833.jpeg
    42.2 KB · Views: 398
What are the units that go with the 6.3 stated in the problem? What are the units of length contained in the units for G?