Analytic non-relativistic calculations of the linear Stokes parameters Q and U in a vertical plus radial magnetic field at three different viewer inclinations: i = 0° ,40° ,80°. The colour gradient denotes the periodic evolution of the hotspot along its orbit over one revolution. The only reason the width of the curves vary is for visualisation purposes. Top: completely vertical magnetic field (θ = 0). We note that Q and U are constants in time and have static values in QU space. Bottom: significantly radial magnetic field with θ = 80; Q and U oscillate and trace two QU loops in time that change in amplitude with inclination. High inclination counteracts the presence of QU loops.