Consider a 3-body system again. This time, let the particles be the Sun, the Earth, and the Moon. (a) Write the relative vector equations of motion for the Moon relative to the Earth. (b) At the very instance where the following right angle triangle geometry is achieved, compute the dominant and perturbing accelerations.

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Consider a 3-body system again. This time, let the particles be the Sun, the Earth, and
the Moon.
(a) Write the relative vector equations of motion for the Moon relative to the Earth.
(b) At the very instance where the following right angle triangle geometry is achieved,
compute the dominant and perturbing accelerations.
Compare the magnitudes of both accelerations, is it reasonable to model the Moon's
motion by considering a two-body problem with the Earth? Explain your answer.
Transcribed Image Text:Consider a 3-body system again. This time, let the particles be the Sun, the Earth, and the Moon. (a) Write the relative vector equations of motion for the Moon relative to the Earth. (b) At the very instance where the following right angle triangle geometry is achieved, compute the dominant and perturbing accelerations. Compare the magnitudes of both accelerations, is it reasonable to model the Moon's motion by considering a two-body problem with the Earth? Explain your answer.
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