Dynamical stability analysis of the HD 202206 system and constraints to the planetary orbits

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Volume 519 (September 2010)

A&A, 519 (2010) A10

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Table 4:

Quasi-periodic decomposition of the resonant angle $\theta = \lambda_{\rm b}- 5\lambda_\sc + \varpi_{\rm b}+ 3\varpi_\sc$ for an integration of the orbital solution S2 over 1 million years.
j	$\nu_j$ , deg/yr	A_j, deg	$\phi_j$ , deg	$\alpha_j$	$\beta_j$	$\gamma_j$
1	0.480579	53.892	26.688	0	1	0
2	4.973316	36.043	-132.474	0	1	1
3	4.492737	34.786	111.145	0	0	1
4	4.012157	21.409	-5.446	0	-1	1
5	0.961158	21.399	-36.372	0	2	0
6	-512.651573	17.254	127.883	-5	3	0
7	-513.612733	16.069	-104.463	-5	1	0
8	5.934475	16.268	-79.250	0	3	1
9	6.415054	16.795	37.274	0	4	1
10	-522.430683	15.118	85.394	-5	-8	-1
11	-512.170994	12.658	64.316	-5	4	0
12	5.453895	12.716	-16.043	0	2	1
13	-513.132153	12.432	11.782	-5	2	0
14	-503.833622	11.911	117.837	-5	12	1
15	8.817951	11.908	79.987	0	9	1
16	205.156746	12.090	25.645	2	-1	0
17	-521.950104	10.953	21.911	-5	-7	-1
18	-522.911263	10.799	149.019	-5	-9	-1
19	-505.755940	11.882	-168.212	-5	8	1
20	-504.314203	9.299	-178.391	-5	11	1
21	-503.353041	8.914	53.782	-5	13	1
22	-505.275360	10.486	127.883	-5	9	1
23	102.818662	10.628	116.261	1	0	0
24	1018.888092	9.462	-112.965	10	-10	-1
25	6.895632	10.657	-25.001	0	5	1
26	307.975409	8.924	-128.711	3	-1	0
27	3.531578	8.135	-122.054	0	-2	1
28	7.376215	8.880	88.862	0	6	1
29	1025.783728	7.756	-49.947	10	-5	0
30	-411.274650	7.376	165.597	-4	0	0

Notes. The decomposition is given in Eq. (9) and each frequency $\nu_j$ is expressed as a combination of the fundamental frequencies as in (Eq. (13)). For the sake of brievity, we only give the first 30 terms.

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