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In March 2006, the Mars Reconnaissance Orbiter (MRO) spacecraft approached Mars on a hyperbolic trajectory with asymptotic approach speed   = XXXXXXXXXXkm/s. Mars orbit insertion (MOI) occurred at...

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In March 2006, the Mars Reconnaissance Orbiter (MRO) spacecraft approached Mars on a hyperbolic trajectory with asymptotic approach speed   = XXXXXXXXXXkm/s. Mars orbit insertion (MOI) occurred at periapsis by firing six rocket engines. The MOI burn produced an elliptical orbit with periapsis and apoapsis altitudes of 426 and 44,500 km, respectively. Determine the Δv for this impulsive maneuver [note that Mars’ radius is RM = 3,396 km and its gravitational parameter is μM = XXXXXXXXXX4 ) km3 /s2 ].

Problems 176 and 177 involve the Juno spacecraft, which departed Earth in early August 2011 and arrived at Jupiter in early July 2016.

Answered 146 days After May 19, 2022

Solution

Robert answered on Oct 13 2022
49 Votes
The Av for this impulsive maneuve
is 9.64 km/s.
Explanation:
.When a spaceship
approaches Mars on a
hype
olic trajectory, the
asymptotic approach speed
(v) is 2.9572 kilometers pe
second. This is the speed at
which Mars is eventually
eached. Six rocket engines
are fired up when the
spacecraft reaches a point in
known as periapsis. This
its journey around Mars ...
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