The past and future obliquity of Saturn as Titan migrates

Open Access

Table A.1

Quasi-periodic decomposition of Saturn’s eccentricity and longitude of perihelion (variable z).

k		E_k × 10⁸
1	28.22069	4 818 642	128.11
2	4.24882	3 314 184	30.67
3	52.19257	173 448	225.55
4	3.08952	151 299	121.36
5	27.06140	55 451	38.70
6	29.37998	54 941	37.54
7	28.86795	32 868	212.64
8	27.57346	28 869	223.74
9	53.35188	14 683	134.91
10	−19.72306	14 125	113.24
11	76.16447	7469	323.03
12	0.66708	5760	73.98
13	5.40817	4420	120.24
14	51.03334	4144	136.29
15	7.45592	1387	20.24
16	5.59644	805	290.35
17	1.93168	801	201.08
18	4.89647	717	291.46
19	17.36469	674	123.95
20	3.60029	408	121.39
21	2.97706	395	306.81
22	−56.90922	365	44.11
23	17.91550	339	335.18
24	5.47449	303	95.01
25	5.71670	230	300.52
26	17.08266	187	179.38
27	−20.88236	186	203.93
28	6.93423	167	349.39
29	16.81285	157	273.89
30	1.82121	139	151.70
31	7.05595	136	178.86
32	5.35823	124	274.88
33	7.34103	117	27.85
34	0.77840	99	65.10
35	7.57299	82	191.47
36	17.63081	78	191.55
37	19.01870	67	219.75
38	17.15752	64	325.02
39	17.81084	58	58.56
40	18.18553	53	57.27
41	5.99227	45	293.56
42	17.72293	44	48.46
43	5.65485	44	219.22
44	4.36906	39	40.82
45	16.52731	39	131.91
46	6.82468	38	14.53
47	18.01611	37	44.83
48	5.23841	36	92.97
49	17.47683	34	260.26
50	18.46794	32	4.67
51	−0.49216	29	164.74
52	17.55234	27	197.65
53	16.26122	26	58.89
54	7.20563	24	323.91
55	18.08627	22	356.17
56	7.71663	15	273.52

Notes. This solution has been directly obtained from Laskar (1990) as explained in the text. The phases are given at time J2000.

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