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Kubyshkina, D.
Fossati, L.
Erkaev, N. V.
Cubillos, P. E.
Johnstone, C. P.
Kislyakova, K. G.
Lammer, H.
Lendl, M.
Odert, P.
Kubyshkina, D. Overcoming the Limitations of the Energy-limited Approximation for Planet Atmospheric Escape [Текст] / D. Kubyshkina, L. Fossati, N. V. Erkaev, P. E. Cubillos, C. P. Johnstone, K. G. Kislyakova, H. Lammer, M. Lendl, P. Odert // Astrophysical Journal Letters. — 2018. — Т. 866 (№ 2).
Studies of planetary atmospheric composition, variability, and evolution require appropriate theoretical and numerical tools to estimate key atmospheric parameters, among which the mass-loss rate is often the most important. In evolutionary studies, it is common to use the energy-limited formula, which is attractive for its simplicity but ignores important physical effects and can be inaccurate in many cases. To overcome this problem, we consider a recently developed grid of about 7000 one-dimensional upper-atmosphere hydrodynamic models computed for a wide range of planets with hydrogen-dominated atmospheres from which we extract the mass-loss rates. The grid boundaries are [1:39] {M}\oplus in planetary mass, [1:10] {R}\oplus in planetary radius, [300:2000] K in equilibrium temperature, [0.4:1.3] {M}⊙ in host star’s mass, [0.002:1.3] au in orbital separation, and about [1026:5×1030] erg s-1 in stellar X-ray and extreme ultraviolet luminosity. We then derive an analytical expression for the atmospheric mass-loss rates based on a fit to the values obtained from the grid. The expression provides the mass-loss rates as a function of planetary mass, planetary radius, orbital separation, and incident stellar high-energy flux. We show that this expression is a significant improvement to the energy-limited approximation for a wide range of planets. The analytical expression presented here enables significantly more accurate planetary evolution computations without increasing computing time.
planets and satellites: atmospheres
gaseous planets
physical evolution
Overcoming the Limitations of the Energy-limited Approximation for Planet Atmospheric Escape
Journal Article
Journal Article Preprint
Политехнический институт
Кафедра прикладной механики
Astrophysical Journal Letters

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