Future spacecraft (like the HSL HuskySat-3) will orbit the moon on the NASA Lunar Gateway with a periapsis of 1900km and a period of 6.666 days. Find: a. The semimajor axis a (km) of the orbit. b. The eccentricity e or the orbit. c. The apoapsis of the orbit. d. A spacecraft is released (assume it has the same orbital speed as the gateway, it is released with 0 Av) from the Gateway at a true anomaly of 0=300°. The next burn must take place at periapsis. How long after release does the burn occur? Show your values for the eccentric anomaly, mean anomaly, and mean angular rate.

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Future spacecraft (like the HSL HuskySat-3) will orbit the moon on the NASA Lunar
Gateway with a periapsis of 1900km and a period of 6.666 days. Find:
a. The semimajor axis a (km) of the orbit.
b. The eccentricity e or the orbit.
c. The apoapsis of the orbit.
d. A spacecraft is released (assume it has the same orbital speed as the gateway, it
is released with 0 Av) from the Gateway at a true anomaly of 0=300°. The next
burn must take place at periapsis. How long after release does the burn occur?
Show your values for the eccentric anomaly, mean anomaly, and mean angular
rate.
Transcribed Image Text:Future spacecraft (like the HSL HuskySat-3) will orbit the moon on the NASA Lunar Gateway with a periapsis of 1900km and a period of 6.666 days. Find: a. The semimajor axis a (km) of the orbit. b. The eccentricity e or the orbit. c. The apoapsis of the orbit. d. A spacecraft is released (assume it has the same orbital speed as the gateway, it is released with 0 Av) from the Gateway at a true anomaly of 0=300°. The next burn must take place at periapsis. How long after release does the burn occur? Show your values for the eccentric anomaly, mean anomaly, and mean angular rate.
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