Answer Happy

= B3. The Soviet Union's Vostok spacecraft was used for the first manned space flights in the early 1960s. It was spherical in shape (with drag coefficient CD = 1.0), and had a mass of 2,460 kg and diameter of 2.3 m. The Vostok capsule departs a low Earth orbit and reaches entry interface altitude of 122 km with velocity 7.74 km/s and flight path angle of 86.8°. Atmospheric density at earth surface po = 1.225 kg/m3 and scale height H= 7.25 km. (a) Compute the velocity, flight path angle, and deceleration (in Earth ge) at altitudes of 80, 60, and 40 km. (6 marks) (b) Compute the peak deceleration and associated critical altitude and velocity at peak deceleration. (6 marks) (c) Draft a co-plot of velocity v (km/s) and deceleration \a\/ge vs. altitude y (km) for the re-entry analysis and indicate the result from (a) and (b) on the plot (with altitude y (km) to be the y-axis and velocity v and deceleration (al/ge to be the x-axis). (4 marks) (d) Explain why the maximum deceleration does not occur at the highest re-entry point, nor the ground y=0. (4 marks)