Two satellites, \(A\) and \(B\), orbit a planet of mass \(M\) where \(M \gg m\). Satellite \(A\) has mass \(m\) and moves in a circular orbit of radius \(R_0\). Satellite \(B\) has mass \(2m\) and moves in an elliptical orbit with semi-major axis \(a = R_0\), periapsis distance \(r_p = \dfrac{1}{2}R_0\), and apoapsis distance \(r_a = \dfrac{3}{2}R_0\). Which of the following correctly pairs the relationship between the total mechanical energies \(E_A\) and \(E_B\) of the two satellite-planet systems with the ratio of their orbital angular momentum magnitudes \(\dfrac{L_B}{L_A}\)?