Orbital parameters of extrasolar planets derived from polarimetry

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Table 1:

Parameters of the models used to test the fitting procedure with simulated data.
Case	S/N	a	r	i	$\Omega$	e	$\omega$	Shift Q/F	Shift U/F
		[AU]	[ $R_{\rm J}$ ]	[ $^\circ$ ]	[ $^\circ$ ]		[ $^\circ$ ]	[ $\times 10^{-4}$ ]	[ $\times 10^{-4}$ ]
		0.03^a	1.5	60	120	0.2	200	-2.0	-0.7
1 (Fig. 9)	5.0
		0.03^a	$1.5\pm0.1$	$61 \pm 3$	$124 \pm 4$	$0.19\pm0.03$	$199 \pm 4$	$-2.1\pm0.1$	$-0.6\pm0.1$
		0.03^a	1.5	75	90	0.0	-^c	1.0	-0.5
2 (Fig. 10)	1.5
		0.03^a	$1.4\pm0.2$	$80\pm9$	$94\pm8$	0.0^b	-^c	$0.9\pm0.3$	$-0.4\pm0.3$

Notes. ^(a) Fixed parameter. ^(b) The uncertainty of e is 0.04. ^(c) Undefined parameter; fixed to 90 $^\circ$ in the fitting procedure for eccentric orbits. In each case the top row refers to the true parameters employed to simulate the data, while the bottom row gives the result obtained from the $\chi ^2$ -minimization. The 1 $\sigma$ errors correspond to the standard deviation of each parameter as obtained from the Monte Carlo simulations.

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