The Rosetta mission was the first one to land a spacecraft on a comet, specifically comet 67P/Churyumov-Gerasimenko. 67P has a semi major axis a = 3.4630 AU with an eccentricity e = 0.64102. 67P Sun a a) What is the velocity of 67P at the aphelion (point of maximum distance to the Sun)? b) What is the total mechanical energy of this comet? c) What is its velocity at the perihelion (point of minimum distance to the Sun)?
The Rosetta mission was the first one to land a spacecraft on a comet, specifically comet 67P/Churyumov-Gerasimenko. 67P has a semi major axis a = 3.4630 AU with an eccentricity e = 0.64102. 67P Sun a a) What is the velocity of 67P at the aphelion (point of maximum distance to the Sun)? b) What is the total mechanical energy of this comet? c) What is its velocity at the perihelion (point of minimum distance to the Sun)?
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Transcribed Image Text:The Rosetta mission was the first one to land a spacecraft on a comet, specifically
comet 67P/Churyumov-Gerasimenko. 67P has a semi major axis a = 3.4630 AU
with an eccentricity e = 0.64102.
67P
Sun
a
a) What is the velocity of 67P at the aphelion (point of maximum distance to the
Sun)?
b) What is the total mechanical energy of this comet?
c) What is its velocity at the perihelion (point of minimum distance to the Sun)?
d) What is the velocity of 67P at a distance r = 4.1283 AU from the Sun?
e) What is the orbital period of 67P? (For this question you may assume a
circular orbit with radius equal to a)
DATA:
Nm2
G = 6.6725 x 10-11
kg2
M67P = 9.982 x 1012 kg
Msun = 1.989 x 1030 kg
1 AU = 1.495978707 x 101 m
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