Abstract. The thermal evolution of magma oceans produced by collision with giant impactors late in accretion is expected to depend on the composition and structure of the atmosphere through the greenhouse effect of CO 2 and H 2 O released from the magma during its crystallization. We developed a 1D parameterized convection model of a magma ocean coupled with a 1D radiative convective model of the atmosphere. We conducted a parametric study and described the influences of some important parameters such as the Sun-planet distance. Our results suggest that a steam atmosphere delays the end of the magma ocean phase by typically 1 Myr. Water vapor condenses to an ocean after 0.1 Myr, 1.5 Myr and 10 Myr for, respectively, Mars, Earth and Venus. This time would be virtually infinite for an Earth-sized planet located at less than 0.66 AU from the Sun. So there are conditions such as no water ocean is formed on Venus. Moreover, for Mars and Earth, water ocean formation time scales are shorter than typical time gaps between major impacts. This implies that successive water oceans may have developed during accretion, making easier the loss of their atmospheres by impact erosion.
Objectives and resultsOne of the important objectives of the present work is to better understand the conditions and timing of the formation of the terrestrial ocean of water, and why such an ocean did not form on Venus, or possibly formed at an early stage but later evaporated due to the increasing luminosity of the young Sun. The presence of an early massive atmosphere of water vapor on Venus, which further escaped to space, and/or was trapped in the interior under the form of hydrates, is generally considered to have initiated the strong greenhouse effect observed today [1,2]. This massive H 2 O atmosphere may have resulted, (i) either from the evaporation of a primordial water ocean, followed by hydrodynamic escape of hydrogen [3], or (ii) from the outgassing of the primordial magma ocean, not necessarily followed by the formation of a (transient) water ocean [4]. Determining, through a comparative modeling approach applied to the three terrestrial planets Mars, Earth and Venus if a water ocean ever condensed on Venus and, if so, how long this ocean survived, is one of the major challenges of