400 km altitude with flight path angle -10.0 degrees and speed 10.8 km/sec. a. Using Kepler's equation, determine how long it will take the spacecraft to cross lunar orbit (assume the Moon is on a circular orbit about Earth with 384,000 km radius, and ignore the lunar gravitational effects). Confirm your answer to part (a) using the appropriate Lambert TOF b. A spacecraft leaving Earth is deployed at burnout from its launch vehicle at C. equation. If burnout speed is increased to 13 km/sec (still with flight path angle at -10.0 degrees and altitude 400 km), how much time can be saved for the trip to the Moon?

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A spacecraft leaving Earth is deployed at burnout from its launch vehicle at
400 km altitude with flight path angle -10.0 degrees and speed 10.8 km/sec.
; Using Kepler's equation, determine how long it will take the
spacecraft to cross lunar orbit (assume the Moon is on a circular orbit about
Earth with 384,000 km radius, and ignore the lunar gravitational effects).
Confirm your answer to part (a) using the appropriate Lambert TOF
a.
b.
equation.
If burnout speed is increased to 13 km/sec (still with flight path angle
с.
at -10.0 degrees and altitude 400 km), how much time can be saved for the
trip to the Moon?
Transcribed Image Text:A spacecraft leaving Earth is deployed at burnout from its launch vehicle at 400 km altitude with flight path angle -10.0 degrees and speed 10.8 km/sec. ; Using Kepler's equation, determine how long it will take the spacecraft to cross lunar orbit (assume the Moon is on a circular orbit about Earth with 384,000 km radius, and ignore the lunar gravitational effects). Confirm your answer to part (a) using the appropriate Lambert TOF a. b. equation. If burnout speed is increased to 13 km/sec (still with flight path angle с. at -10.0 degrees and altitude 400 km), how much time can be saved for the trip to the Moon?
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