Rose–Hulman Institute of Technology

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    Relative Equilibria of Pinwheel Point Mass Systems in a Planar Gravitational Field

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    In this paper, we consider a planar case of the full two-body problem (F2BP) where one body is a pinwheel (four point masses connected via two perpendicular massless rods) and the other is a point mass. Relative equilibria (RE) are defined to be ordered pairs (r, θ) such that there exists a rotating reference frame under which the two bodies are in equilibrium when the distance between the point mass and the center of the pinwheel is r and the angle of the pinwheel within its orbit is θ. We prove that relative equilibria exist for all ordered pairs (r, 0) and (r, π/4) where r ∈ ℝ+. Additionally, we find conditions under which both of these families of relative equilibria are linearly stable and conditions under which relative equilibria of the form (r, 0) are energetically stable

    Moral Weirdos : Effective Altruism and Empathy in Engineering Education

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    Rose-Hulman Institute of Technology: Rose-Hulman Scholar
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