8. At a given point of a spacecraft's geocentric trajectory, the radius is 14 600 km, the speed is 8.6 km/s, and the flight path angle is 50.. Show that the path is a hyperbola and calculate the following: (a) C3, (b) angular momentum, (c) true anomaly, (d) eccentricity, (e) radius of perigee, (f) turn angle, (g) semimajor axis, and (h) aiming radius.

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8. At a given point of a spacecraft's geocentric
trajectory, the radius is 14 600 km, the
speed is 8.6 km/s, and the flight path angle is 50•.
Show that the path is a hyperbola and calculate the
following: (a) C3, (b) angular momentum, (c) true
anomaly,
(d) eccentricity, (e) radius of perigee, (f) turn angle,
(g) semimajor axis, and (h)
aiming radius.
Transcribed Image Text:8. At a given point of a spacecraft's geocentric trajectory, the radius is 14 600 km, the speed is 8.6 km/s, and the flight path angle is 50•. Show that the path is a hyperbola and calculate the following: (a) C3, (b) angular momentum, (c) true anomaly, (d) eccentricity, (e) radius of perigee, (f) turn angle, (g) semimajor axis, and (h) aiming radius.
Constants:
u = 3.986*10^5 ( Km^3/S^2), if you don't like
exponents, this translates to (398,600 Km^3/S^2)
Radius of Earth = 6378Km
Transcribed Image Text:Constants: u = 3.986*10^5 ( Km^3/S^2), if you don't like exponents, this translates to (398,600 Km^3/S^2) Radius of Earth = 6378Km
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