A satellite of mass 150 slugs is launched into a circular orbit about an unknown

Question

A satellite of mass 150 slugs is launched into a circular orbit about an unknown, atmosphere-free planet with mass 2.0 times 1024 slugs. Burnout occurs over 30 degree s north latitude at an unknown velocity and altitude. Assume the radius of the planet is 6000 mi. a Compute k2 and g0, for this planet. If the orbital period of the satellite is to be 10 hours, determine the altitude (in miles) and velocity (in miles per second) of burnout. Assuming a fuel-oxidizer mix with flame temperature of 6500 degree R. gas constant R- 2000 ft-Ibf/slug- degree R, cv- 6000 ft-lbf/slug- degree R. and a stagnation-to-exit pressure ratio of 300. determine the specific impulse of the launching rocket. What was the minimum initial mass of the rocket that launched the satellite assuming the computed specific impulse. On the figure, roughly sketch the ground track of the satellite assuming the minimum inclination orbit possible, the given burnout location, and a planetary rotation period of 20 hours.

Explanation / Answer

g=GM/R2

M=2*10^24 slugs

R=6000mi

G=6.67*10^-11 m3/kg sec2

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