Issue |
A&A
Volume 688, August 2024
|
|
---|---|---|
Article Number | A103 | |
Number of page(s) | 13 | |
Section | Planets and planetary systems | |
DOI | https://doi.org/10.1051/0004-6361/202450177 | |
Published online | 07 August 2024 |
Formation of planetary atmospheres
Analytical estimation of vapor production via planetary impacts
Department of Physics, Graduate School of Science, Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya
464-8602,
Japan
e-mail: miyayama.ryushi.w1@s.mail.nagoya-u.ac.jp; hkobayas@nagoya-u.jp
Received:
29
March
2024
Accepted:
16
May
2024
To investigate impact vaporization for planetary atmosphere formation, we have studied the thermodynamic state generated by the shock wave due to a high-velocity impact, called the shock field. We have carried out iSALE simulations for high-velocity vertical impacts using ANEOS for an equation-of-state (EoS) model. To understand the shock fields obtained from simulations, we have investigated the contribution of the thermal and cold terms in the EoS model on the Hugoniot curves. Although the thermal and cold terms are important for the pressure, the internal energy is mainly determined by the thermal term. We thus assume a simple EoS determined by the thermal term and then analytically derive the shock internal-energy field, which reproduces the results of simulations well. Using the analytical solution of internal energy and the Hugoniot curve, we have derived the shock pressure field analytically as well. The analytical solutions for internal energy and pressure are valid even for impact velocities as low as the sound speed. The solution is good for the vertical direction or within the angles of about 60 degrees. We have applied the solution to impact vaporization for the formation of planetary atmospheres. This gives good estimation of reformation of the planetary atmospheres of Earth sized planet.
Key words: equation of state / hydrodynamics / shock waves / planets and satellites: atmospheres / planets and satellites: interiors
© The Authors 2024
Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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