Exobase 2026-10-06
The exobase marks the transition between a collisional atmosphere and its exosphere. For a neutral, approximately hydrostatic ideal gas, take mean free path and atmospheric scale height . The criterion gives
An order-one collision convention can change this coefficient. The pressure is not universal: the collision cross-section, composition, local gravity, and ionization must be specified. A strongly escaping, non-hydrostatic atmosphere requires an appropriate density-gradient length instead of a hydrostatic .
Nonthermal atmospheric escape supplies particle energy through processes other than the local thermal distribution. Examples include dissociation producing fast atoms, ion pickup by a stellar-wind electric field, and sputtering caused by impacting energetic particles. Radiation pressure can also accelerate material in an extended exosphere.
In the collisionless exosphere, an atom escapes if its outward trajectory has positive total mechanical energy. Neglect tides and stellar forces and use Newtonian gravity at exobase radius :
With thermal speed , the Jeans escape parameter is
A thermal distribution always has an escaping tail; Jeans escape is exponentially suppressed for , with Jeans escape flux proportional to . Efficient escape requires of order a few or smaller, with an order-unity energetic estimate .
Assume a Neptune-like mass and radius, , and atomic hydrogen. Using the supplied rounded constants gives
Hence
Using the mean kinetic energy instead gives an order-unity coefficient and . An expanded exobase has weaker binding and lowers the estimate by . A comet-like tail can also be shaped by radiation pressure and stellar-wind interactions; it does not by itself measure or prove that a hydrostatic Jeans model is valid. At , and hydrostatic equilibrium fails as a global description: substantial mass loss must usually be treated as hydrodynamic atmospheric escape.
The exobase is defined by mean free path , not by a universal pressure. For a neutral hydrostatic gas with collision cross-section ,
For example, explicitly assuming gives , or . These are representative extremely dilute neutral-exobase pressures, with orders of magnitude varying with composition, cross-sections and expansion. The supplied constants contain no collision information, so they cannot uniquely determine an exobase pressure; ionization or a non-hydrostatic density profile changes this estimate.