Table 2: CORALIE best Keplerian orbital solutions for HD 156846 and HD 4113, as well as inferred planetary parameters. Confidence intervals are computed for a 68% confidence level after 10 000 Monte Carlo iterations. Span is the time interval in days between the first and last measurements. $\sigma ({\rm O-C})$ is the weighted rms of the residuals around the derived solutions.
Parameters   HD 4113 HD 156846
$\gamma$ [km s-1] $4.874\pm0.05$ $-68.540\pm0.001$
slope [m s-1 yr-1] $27.8\pm0.3$ -
curvature [m s-1 yr-2] $-1.55\pm0.17$ -
P [days] $ 526.62\pm0.3 $ $359.51\pm0.09$
K [m s-1] $ 97.1\pm3.8$ $464.3\pm3.0$
e   $ 0.903\pm0.005$ $0.8472\pm0.0016$
$\omega$ [deg] $ -42.3\pm1.9 $ $52.23\pm0.41$
T0 [JD-2.45 106] $ 3778.0\pm0.2$ $3998.09\pm0.05$
$a_{1}~ \sin{i} $ [10-3 AU ] $2.01\pm0.05$ $8.15\pm0.04$
f(m) [ $10^{-9}~M_{\odot}$ ] $3.9\pm0.3$ $558\pm9 $
$m_{2}~ \sin{i}$ [ $M_{\rm Jup}$] $1.56\pm0.04$ $10.45\pm0.05$
a [AU ] 1.28 0.9930
$N_{\rm mes}$   130 64
Span [years] 8.0 4.45
$\sigma_{\rm (O-C)}$ [m s-1] 8.4 7.7


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