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Figure 11: Effect of the gravitoelectric force on the hyperbolic motion of a test particle around an astronomical body located at the origin of the frame shown. Red line: unperturbed hyperbola. Blue dashed line: perturbed orbit. For illustrative purposes, we choose the Earth as central body and rescaled the magnitude of its gravitoelectric force by ${10}^8$ so that $A^{\text{G}\text{E}}/A^{\text{N}}=0.1$ at perigee. We adopted the initial conditions $x_0=0,y_0=-p=-a(e^2-1),z_0=0,v_{x0}>0,v_{y0}>0,v_{z0}=0$. We used $a=\mathrm{8,493.326}$ km, $e=1.81$. The perturbed orbit is deflected inward with respect to the unperturbed one.