Evolution of the H envelope mass (top left), total planet mass (top center),
time derivative of the envelope mass (top right), stellar luminosity (upper
middle left), XUV luminosity (upper middle center), incident XUV flux (upper
middle left), planet radius (lower middle left), XUV radius (lower middle
center), Roche lobe radius (lower middle right), envelope scale height (bottom
left), surface pressure (bottom center), and the envelope’s temperature
(bottom right). In both cases, the envelope follows the planetary radius
model of Lehmer & Catling (2017). The black line assumes constant luminosity,
thermal temperature, incident flux, and assumes the planet loses mass via
energy limited escape; this case reproduces Fig. 3 in Lehmer & Catling (2017).
The blue curve includes stellar evolution, assumes the thermal temperature
responds to the evolving radiation field, and that the escape can transition
between radiation-recombination-limited escape and energy-limited escape,
i.e. bAtmEscAuto is set to 1. For this latter case, the radius model predicts
the initial radius exceeds the Roche limit, and so VPLanet forces all the
mass to be contained within that radius and forces the radius to equal the
Roche radius.