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The three-body problem is a classic problem in celestial mechanics that involves predicting the motion of three celestial bodies under the influence of gravity. The problem is notoriously difficult because it does not have a closed-form analytical solution and requires numerical methods to solve. To understand the three-body problem, let us consider three point masses A, B, and C that are mutually attracted to each other by gravity. The gravitational force between two masses is given by the form
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Convolution is a topic many students find challenging. In this video, I demonstrate the graphical method for solving convolution integrals. Step 1: Graph the two functions/signals Step 2: Change the independent variable from 𝑡 to 𝜏 Step 3: Choose one of the two functions to flip (reflect about the vertical axis) Step 4: Give this reflected signal a horizontal translation/shift of 𝑡 units. Step 5: Investigate the regions of overlap between this transformed signal and the other signal. Set up a
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