The HARPS search for southern extra-solar planets - XVI. HD 45364, a pair of planets in a 3:2 mean motion resonance

Home

All issues

Volume 496 / No 2 (March III 2009)

A&A, 496 2 (2009) 521-526

Full HTML

Highlight

Free Access

Table 4:

Quasi-periodic decomposition of the resonant angle $\theta _{\rm b} = 2 \lambda _{\rm b} - 3 \lambda _{\rm c} + \omega _{\rm b}$ for an integration over 100 kyr of the orbital solution in Table 2.
Combination					$\nu_i$	A_i	$\phi_i$
$n_{\rm b}$	$n_{\rm c}$	g₁	g₂	$l_\theta$	(deg/yr)	(deg)	(deg)
0	0	0	0	1	19.8207	68.444	-144.426
0	0	-1	1	0	0.8698	13.400	136.931
0	0	1	-1	1	18.9509	8.606	168.643
0	0	-1	1	1	20.6905	8.094	82.505
0	0	-2	2	0	1.7396	2.165	-176.138
0	0	-2	2	1	21.5603	0.622	-50.564
0	0	0	0	3	59.4621	0.540	-73.279
1	-1	0	0	-1	172.5756	0.506	7.504
1	-1	0	0	0	192.3963	0.501	-46.923
0	0	-3	3	0	2.6093	0.416	-129.207
0	0	2	-2	1	18.0811	0.420	121.712
1	-1	0	0	1	212.2170	0.416	78.651
0	1	-1	0	0	384.7926	0.451	176.155
1	-1	0	0	-2	152.7549	0.424	-118.070
0	1	-1	0	-1	364.9719	0.341	50.581
0	1	-1	0	1	404.6133	0.274	121.729
0	0	1	-1	3	58.5923	0.212	-120.210
1	-1	0	0	2	232.0377	0.201	24.225
0	0	-1	1	3	60.3319	0.211	153.652
1	0	-1	0	-1	557.3682	0.182	-86.342

We have $\theta_{\rm b} = \sum_{i=1}^N A_i \cos(\nu_i~ t + \phi_i)$ , where the amplitude and phases A_i, $\phi_i$ are given in degree, and the frequencies $\nu_i$ in degree/year. We only give the first 20 terms, ordered by decreasing amplitude. All terms are identified as integer combinations of the fundamental frequencies given in Table 3. The fact that we are able to express all the main frequencies of $\theta _{\rm b}$ in terms of exact combinations of the fundamental frequencies g₁, g₂ and $l_\theta$ is a signature of a very regular motion.

Source LaTeX | All tables | In the text

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.