Astronomy and Astrophysics – Astrophysics – Earth and Planetary Astrophysics
Scientific paper
2009-05-04
Astrophys.J.699:1321-1332,2009
Astronomy and Astrophysics
Astrophysics
Earth and Planetary Astrophysics
Scientific paper
10.1088/0004-637X/699/2/1321
We estimate the conditions for detectability of two planets in a 2/1 mean-motion resonance from radial velocity data, as a function of their masses, number of observations and the signal-to-noise ratio. Even for a data set of the order of 100 observations and standard deviations of the order of a few meters per second, we find that Jovian-size resonant planets are difficult to detect if the masses of the planets differ by a factor larger than $\sim 4$. This is consistent with the present population of real exosystems in the 2/1 commensurability, most of which have resonant pairs with similar minimum masses, and could indicate that many other resonant systems exist, but are presently beyond the detectability limit. Furthermore, we analyze the error distribution in masses and orbital elements of orbital fits from synthetic data sets for resonant planets in the 2/1 commensurability. For various mass ratios and number of data points we find that the eccentricity of the outer planet is systematically over estimated, although the inner planet's eccentricity suffers a much smaller effect. If the initial conditions correspond to small amplitude oscillations around stable apsidal corotation resonances (ACR), the amplitudes estimated from the orbital fits are biased toward larger amplitudes, in accordance to results found in real resonant extrasolar systems.
Beauge Christian
dos Santos Tadeu M.
Ferraz-Mello Sylvio
Giuppone C. A.
Michtchenko Tatiana A.
No associations
LandOfFree
Detectability and Error Estimation in Orbital Fits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Detectability and Error Estimation in Orbital Fits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Detectability and Error Estimation in Orbital Fits will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-199941