Hot Jupiters are a class of Jupiter-mass exoplanets that are characterised by high surface temperatures as they orbit very close to their parent stars. Most hot Jupiters have near-circular orbits with near-zero orbital eccentricities. A perfectly circular orbit is one where the orbital eccentricity is zero. There exist a fraction of hot Jupiters that have non-circular orbits with orbital eccentricities exceeding 0.1. One of the most extreme cases is the exoplanet HD80606b which has an orbital eccentricity of 0.93. Due to its large orbital eccentricity, the amount of flux HD80606b receives from its parent star varies by a factor of over 800.
Superrotation is a common phenomenon in
atmospheric circulation models of hot Jupiters. Planetary scale waves in the
atmosphere of a hot Jupiters converges angular momentum from the mid-latitudes towards
the equator to generate an equatorial superrotating jet. The presence of an equatorial
superrotating jet causes an eastward displacement of the hottest spot on the
planet from the substellar point. Hot Jupiters in near-circular orbits are
expected to be synchronously rotating where the same hemisphere of the planet
perpetually facing its parent star like how the same hemisphere of the Moon always
faces the Earth. This is due to the fact that the rotational and orbital
periods of a synchronously rotating planet are equal. Things are different for
hot Jupiters on non-circular eccentric orbits since they are expected to be pseudo-synchronously
rotating where the same hemisphere of the planet does not perpetually face its
parent star because the planet’s rotational and orbital periods are not equal. Instead,
the same hemisphere of an eccentric hot Jupiter approximately faces its parent
star only at closest approach during each orbit.
Figure I: Simulations of a hot Jupiter
with an orbit-averaged stellar flux of 185691 W/m2 where the orbital
eccentricity is increased from zero (top row) to 0.75 (bottom row). Illustrated
here are plots of the orbit-averaged zonal wind speeds (left column) and the
wind and temperature profiles at 30 millibars in the atmosphere during closest
approach (right column). The vertical bars in the right column denote the substellar
longitude. (Credit: Tiffany Kataria, et al., 2012)
Models of atmospheric circulation of
eccentric hot Jupiters have shown that at closest approach to their parent
stars, dayside temperatures, day-night temperature differences and wind speeds all
increase with increasing orbital eccentricity. In Figure I shown above, an orbit-averaged
stellar flux of 185691 W/m2 is employed for a hot Jupiter to model
the effects of increasing orbital eccentricity on atmospheric circulation. As orbital
eccentricity varies from 0 to 0.75, the peak temperatures at closest approach
increase from 1000 to 1300 degrees Kelvin at the 30 millibar level in the
atmosphere. Since the day-night temperature difference increases with
increasing orbital eccentricity, the peak wind speed within the equatorial
superrotating jet strengthens from 2500 m/s for a circular orbit to 5000 m/s
for an orbital eccentricity of 0.75.
A larger orbital eccentricity also results
in a shorter rotational period for the hot Jupiter which translates to an
increase in rotational rate and a smaller Rossby radius of deformation. This is
because the Rossby radius is inversely proportional to the square root of
rotational rate. As a result, a hot Jupiter with a larger orbital eccentricity
is expected to have a narrower equatorial superrotating jet since the width of
the superrotating jet is directly proportional to the Rossby radius of
deformation. In Figure I shown above, an orbital eccentricity of zero gives an
average jet width of 100 degrees latitude while an orbital eccentricity of 0.75
gives an average jet width of 40 degrees latitude. Apart from the effects of
orbital eccentricity, an increase in the orbit-averaged stellar flux shown below
in Figure II also leads to strengthening and narrowing of the equatorial
superrotating jet. A planet with a higher orbit-averaged stellar flux orbits
its parent star at a smaller distance, resulting in a faster rotation rate and
a narrower equatorial superrotating jet.
Figure II: Simulations of a hot Jupiter
with an orbital eccentricity of 0.25. From top to bottom, the rows illustrate
an increase in the orbit-averaged stellar flux. Shown here are plots of the
orbit-averaged zonal wind speeds (left column) and the wind and temperature profiles
at 30 millibars in the atmosphere during closest approach (right column). The
vertical bars in the right column denote the substellar longitude. (Credit: Tiffany
Kataria, et al., 2012)
Reference:
Tiffany Kataria, et al., 2012, “Three-dimensional
atmospheric circulation of hot Jupiters on highly eccentric orbits”, arXiv:1208.3795v1
[astro-ph.EP]