Orbital effects of non-isotropic mass depletion of the atmospheres of evaporating hot Jupiters in extrasolar systems

► The long-term orbital effects of a non-isotropic mass loss of an exoplanet orbiting its parent star are analytically worked out. ► The analytical results are confirmed by numerical integrations of the equations of motion. ► a,ω,M change. e, I, Ω do not change. ► |m˙|≲1017kgyr-1, i.e. |m˙/m|≲10-10yr-1 for a Jupiter-like planet, yields a˙∼2.5m yr-1 for orbits with a = 0.05 AU.