Orbital mechanics


1-
a)Contact lenses being manufactured in space are returned in a re-entry capsule to earth for distribution and sale. If the re-entry velocity is 7.4 km/s and the re-entry flight path angle is 10o, determine the maximum deceleration it will experience and at what altitude? The capsule’s BC is 1000 kg/m2.
Answer : amax= 24.813 g, alt = 28,251m
b)For the same capsule in Problem 1a, determine the altitude of maximum heating rate and the velocity at which this occurs.
Answer: hqmax=20,348 m, Vqmax= 6260.4m/s


2-During re-entry, a meteor reaches a temperature of 1700oK. If its emissivity is 0.25, how much power is emitted per square meter?
Answer: E= 118,391 w/m2
3-A vehicle attempting to aerobrake into orbit around Mars needs to achieve an equivalent ?Vretro of 2 km/s. If the entire aerobraking maneuver lasts for 10 minutes, what is the average drag acceleration ( in g’s) we must attain?
Aaverage= 0.34g

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Physics: Orbital mechanics
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he assignment consisted of 8 numerical. I have solved them and provided elaborate answers. Any values not mentioned in the numerical has been assumed.

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