P1_3 The Double Pendulum and Lunar Seismometry

Daniel Treacher, Christian Michelbach, Luke Gene Holmes


This paper aims to show that through the properties of the Laplace transformation into ā€˜sā€™ space, the coupled differential equations of the double pendulum, as shown in figure 1 [1] can be solved with relative ease and show interesting properties and applications of the system for variable values of gravity. These include lunar seismometry and consideration of similar experiments on other astronomical bodies.

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