1. Suppose a 200 kg asteroid is orbiting a 1030kg star in a highly elliptical or

Question

1. Suppose a 200 kg asteroid is orbiting a 1030kg star in a highly elliptical orbit such that ra=1011 m and rp=1010m. [This problem requires pretty high precision to make it work out. Problems on the final will be designed with numbers that make them a bit simpler.]
a1) calculate the kinetic energy at apogee. (is it 1.2 x 10^10 J?)
a2) What is the period of this orbit in seconds? (is it 10^7 seconds?)
b) sketch a rough graph of KE vs time for this orbit. (assume that at t=0 it is at apogee). Indicate the maximum and minimum values on your graph. Also show where zero is.
c) sketch a rough graph of PE vs time for this orbit. (assume that at t=0 it is at apogee). Indicate the maximum and minimum values on your graph. Also show where zero is.
(For practice calculate other things as well, such as speed at a and p.)

Explanation / Answer

apply time period T = 2piR/V

where here V = sqrt(GM/R)

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