Question: Can someone help me with the code for MATLAB for this question? Can you also list the givens on MATLAB also thank you ACCELERATION OF
Can someone help me with the code for MATLAB for this question? Can you also list the givens on MATLAB also thank you
ACCELERATION OF A SPACECRAFT
In the absence of drag, the propulsion power requirements for a spacecraft are determined fairly simply. Recall from basic physical science that
F = ma
In other words, force ( F ) is equal to mass ( m ) times acceleration ( a ). Work ( W ) is force times distance ( d ), and since power ( P ) is work per unit time, power becomes force times velocity ( v ):
W = Fd
P = W /t = F * d/t = F * v = m * a * v
This means that the power requirements for the spacecraft depend on its mass, how fast its going, and how quickly it needs to speed up or slow down. If no power is applied, the spacecraft just keeps traveling at its current velocity. As long as we dont want to do anything quickly, course corrections can be made with very little power. Of course, most of the power requirements for spacecraft are not related to navigation. Power is required for communication, for housekeeping, and for science experiments and observations.
The Voyager 1 and 2 spacecraft explored the outer solar system during the last quarter of the 20th century. Voyager 1 encountered both Jupiter and Saturn; Voyager 2 not only encountered Jupiter and Saturn but continued on to Uranus and Neptune. The Voyager program was enormously successful, and the Voyager spacecraft continue to gather information as they leave the solar system.
The power generators (low-level nuclear reactors) on each spacecraft are expected to function until at least 2020. The power source is a sample of plutonium-238, which, as it decays, generates heat that is used to produce electricity. At the launch of each spacecraft, its generator produced about 470 watts of power. Because the plutonium is decaying, the power production had decreased to about 335 watts in
1997, almost 20 years after launch. This power is used to operate the science package, but if it were diverted to propulsion, how much acceleration would it produce in the spacecraft? Allow the user to enter the velocity of the space craft in AU / year and calculate the acceleration of the spacecraft. Voyager 1 is currently traveling at a velocity of 3.5 AU/year, and Voyager 2 is traveling at 3.15 AU / year. Each spacecraft weighs 721.9 kg.
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