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Aspacecraft of mass 1.00Γ103kg orbits the sun (mass 1.99Γ1030kg) in a circular orbit of radius 1.50Γ1011m (equal to the average distance from the sun to the earth). you wish to move the spacecraft into a smaller circular orbit around the sun of radius 1.08Γ1011m (equal to the average distance from the sun to venus). in doing this, what will be the change in the spacecraft's kinetic energy? neglect the gravitational pulls of the planets on the spacecraft. express your answer with the appropriate units.
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Physics, 21.06.2019 22:30, droidd133
Fft review: linspace, fs, fftshift, nfft 1. generate one second of a cosine of w,-10hz sampled at f, = 100hz and assign it to x. define a tt as your time axis 2. take 64 points fft. 3. as you remember, the dft (which the fft implements) computes n samples of s2t where k-0,1,2, n -1. plot the magnitude of this 64-points fft at range 0 to 63, what do you think of this graph? 4Γ’Β·to get the x-axis into a hz-frequency form, plot this 64-points fft between-50 to 50 (the 100hz sampling rate) and have n-points between them. 5. according to your figure, what frequency is this cosine wave at? 6. remember that the fft is evaluating from 0 to 2Δβ¬. we are used to viewing graphs from-Δβ¬ to Δβ¬. therefore, you need to shift your graph. 7. now according to your shifted graph. what frequency is this at? 8. note that the spikes have long drop-offs? try a 1024-point dft. note that the peak is closer to 10 and the drop-off is quicker. although, now sidelobes are an issue
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Aspacecraft of mass 1.00Γ103kg orbits the sun (mass 1.99Γ1030kg) in a circular orbit of radius 1.50Γ...
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