Doppler Data and Analysis for the Three Planets Orbiting GJ 876
From Rivera et al. 2005, submitted to The Astrophysical Journal.
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Doppler velocity versus time for standard M dwarfs spanning 7 years. The Keck-HIRES
system achieves precision of 3 - 5 meters/sec for M dwarfs brighter than Vmag = 11.
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Velocity vs Time for the star, GJ 876. Top: Observed Doppler velocities (points)
with model radial velocity curve (solid line) generated from the
best-fit, two-planet model, for orbital planet inclination, i = 90 deg (edge-on).
The two-planet model was described in
Marcy et al. 2001.
The two-planet model fit is poor, and is not significantly improved for other inclinations.
Bottom: Residuals to the orbital fit.
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Periodogram of residuals to the two-planet, inc = 90 deg, co-planar fit.
Note the strong power at 1.94 days.
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Top: Velocity vs Time from Keck, 1996 - 2005 for GJ 876. Observed Doppler measurements
(points) are shown with the best-fit model radial velocities (solid line) generated from the
self-consistent, three-planet fit for GJ 876 (coplanar, inc = 50 deg).
Bottom: Residuals to the orbital fit. The fit is far superior to that
which invokes only 2 planets, as expected from the periodicity seen in the
residuals to the 2-planet fit.
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Velocity Residuals to the Two-Planet (only) Fit vs Phase.
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Residuals to a two-planet model versus phase.
Model radial velocities were generated from a two-planet fit (inc = 90 deg)
to the observed radial velocities for GJ 876.
The residuals are periodic, and can be fit
using a one-planet (Keplerian) model,
as shown here.
The solid (red) line is for a fit with eccentricity of the inner planet, ecc = 0, and the dashed (blue) line is for a fit with
eccentricity, ecc = 0.22. The residual velocities are phased with a period of 1.9379 days
and are shown as small solid points with vertical error bars corresponding to the uncertainties.
The model corresponds to a planet with Msini = 5.9 M_Earth, P = 1.94 d, and a = 0.021 AU.
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