SIMBAD references

This work aims to explore the scaling relations among rocky exoplanets. The assumption that the internal gravity increases linearly in the core and stays constant in the mantle is tested against numerical simulations, and a simple model is constructed, applicable to rocky exoplanets of CMF (core mass fraction) = 0.2-0.35 and mass = 0.1-30 M_⊕. Various scaling relations are derived: (1) CMF ≃ CRF² (core radius fraction squared), (2) P_typical∼g_s² (typical interior pressure scales as surface gravity squared), (3) energy released in core formation is ∼110 the total gravitational energy, (4) effective heat capacity of the mantle ~(M_pM_⊕)×7.5×10²⁷ J K^–1, (5) moment of inertia ~13M_pR_p². These relations, though approximate, are handy for quick use owing to their simplicity and lucidity, and provide insights into the interior structures of those exoplanets.