ABSTRACT
All extra-solar planet masses that have been derived spectroscopically are lower
limits since the inclination of the orbit to our line-of-sight is unknown except for tran-
siting systems. In theory, however, it is possible to determine the inclination angle, i,
between the rotation axis of a star and an observer’s line-of-sight from measurements
of the projected equatorial velocity (v sin i), the stellar rotation period (Prot) and the
stellar radius (R). For stars which host planetary systems this allows the removal of
the sin i dependency of extra-solar planet masses derived from spectroscopic observa-
tions under the assumption that the planetary orbits lie perpendicular to the stellar
rotation axis.
We have carried out an extensive literature search and present a catalogue of v sin i,
Prot, and R estimates for stars hosting extra-solar planets. In addition, we have used
Hipparcos parallaxes and the Barnes-Evans relationship to further supplement the R
estimates obtained from the literature. Using this catalogue, we have obtained sin i
estimates using a Markov-chain Monte Carlo analysis. This technique allows proper 1-
two-tailed confidence limits to be placed on the derived sin i’s along with the transit
probability for each planet to be determined.
While we find that a small proportion of systems yield sin i’s significantly greater
than 1, most likely due to poor Prot estimations, the large majority are acceptable.We
are further encouraged by the cases where we have data on transiting systems, as the
technique indicates inclinations of 90 and high transit probabilities. In total, we are
able to estimate the true masses of 133 extra-solar planets. Of these 133 extra-solar
planets, only 6 have revised masses that place them above the 13 MJ deuterium burn-
ing limit; 4 of those 6 extra-solar planet candidates were already suspected to lie above
the deuterium burning limit before correcting their masses for the sin i dependency.
Our work reveals a population of high-mass extra-solar planets with low eccentricities
and we speculate that these extra-solar planets may represent the signature of differ-
ent planetary formation mechanisms at work. Finally, we discuss future observations
that should improve the robustness of this technique.
http://arxiv.org/PS_cache/arxiv/pdf/1006/1006.2069v1.pdf