Asteroid lightcurve inversion with Bayesian inference

Open Access

Table A.1

Lightcurve characteristics for (21) Lutetia.

k	T_k	ΔT_k	N_k	N_k,eff	N_BIC	rms(ℓ)	rms(m)	σ_ɛ	rms(ℓ)	rms(m)	σ_ɛ	Ref.
	(d)	(d)				(ini)	(mag, ini)	(ini)	(fin)	(mag, fin)	(fin)
1	0.0652	0.4658(−2)	15	4.7110	5	0.0055	0.0059	0.0098	0.0128	0.0138	0.0237	a
2	0.3145	0.9251(−2)	35	2.3719	15	0.0061	0.0066	0.0233	0.0123	0.0133	0.0501	a
3	0.3176	0.3415(−2)	94	6.4258	10	0.0083	0.0090	0.0317	0.0110	0.0119	0.0439	a
4	0.0921	0.2878(−2)	33	7.6241	7	0.0091	0.0099	0.0189	0.0146	0.0158	0.0294	b
5	0.0824	0.3583(−2)	24	6.1249	2	0.0096	0.0104	0.0190	0.0147	0.0159	0.0299	b
6	0.0839	0.4661(−2)	19	4.7077	8	0.0105	0.0114	0.0211	0.0221	0.0239	0.0430	b
7	0.0923	0.4013(−2)	24	5.4680	4	0.0157	0.0171	0.0329	0.0339	0.0364	0.0709	b
8	0.0516	0.3440(−2)	16	6.3788	6	0.0069	0.0074	0.0109	0.0108	0.0119	0.0169	b
9	0.1457	0.2052(−2)	72	10.6930	15	0.0097	0.0105	0.0251	0.0271	0.0293	0.0666	b
10	0.2704	0.2436(−2)	112	9.0087	9	0.0092	0.0100	0.0324	0.0136	0.0148	0.0473	c
11	0.3140	0.3172(−2)	100	6.9175	12	0.0062	0.0068	0.0237	0.0162	0.0176	0.0614	c
12	0.0808	0.2786(−2)	30	7.8757	12	0.0081	0.0088	0.0158	0.0203	0.0219	0.0399	b
13	0.3779	0.3978(−2)	96	5.5166	25	0.0098	0.0107	0.0411	0.0281	0.0306	0.1176	c
14	0.2658	0.4922(−2)	55	4.4582	12	0.0169	0.0183	0.0593	0.0262	0.0285	0.0920	b
15	0.3545	0.8243(−2)	44	2.6620	7	0.0253	0.0274	0.1027	0.0288	0.0318	0.1163	b
16	0.3453	0.2951(−2)	118	7.4362	16	0.0066	0.0072	0.0265	0.0129	0.0140	0.0504	e
17	0.0431	0.3079(−2)	15	7.1277	5	0.0085	0.0092	0.0123	0.0171	0.0187	0.0250	d
18	0.1395	0.3488(−2)	41	6.2920	2	0.0135	0.0147	0.0346	0.0161	0.0174	0.0408	d
19	0.1091	0.3762(−2)	30	5.8327	5	0.0089	0.0097	0.0202	0.0161	0.0175	0.0362	d
20	0.0910	0.3792(−2)	25	5.7872	5	0.0065	0.0071	0.0136	0.0098	0.0106	0.0208	d
21	0.0278	0.2317(−2)	13	9.4719	2	0.0095	0.0103	0.0112	0.0097	0.0106	0.0114	d
22	0.1565	0.2144(−2)	74	10.2329	2	0.0079	0.0085	0.0211	0.0076	0.0082	0.0203	f
23	0.0152	0.3040(−2)	6	7.2182	0	0.0079	0.0085	0.0072	0.0173	0.0188	0.0158	d
24	0.1499	0.2676(−2)	57	8.1987	9	0.0129	0.0140	0.0340	0.0439	0.0479	0.1164	f
25	0.0993	0.2547(−2)	40	8.6147	7	0.0077	0.0083	0.0165	0.0168	0.0183	0.0382	g
26	0.1004	0.2643(−2)	39	8.3035	12	0.0057	0.0061	0.0122	0.0192	0.0208	0.0440	g
27	0.1765	0.2634(−2)	68	8.3316	28	0.0074	0.0081	0.0212	0.0296	0.0315	0.0824	g
28	0.1732	0.2510(−2)	70	8.7413	10	0.0141	0.0154	0.0400	0.0231	0.0250	0.0630	g
29	0.1185	0.3591(−2)	34	6.1102	11	0.0017	0.0018	0.0040	0.0070	0.0076	0.0175	h
30	0.3001	0.2459(−2)	123	8.9221	28	0.0014	0.0015	0.0050	0.0149	0.0162	0.0489	h
31	0.3027	0.3439(−2)	89	6.3801	13	0.0063	0.0068	0.0234	0.0084	0.0091	0.0313	h
32	0.3030	0.3444(−2)	89	6.3721	18	0.0061	0.0066	0.0229	0.0081	0.0088	0.0304	h
33	0.2834	0.1417(−1)	21	1.5483	2	0.0053	0.0057	0.0194	0.0137	0.0149	0.0493	i
34	0.1337	0.1114(−1)	13	1.9699	2	0.0074	0.0080	0.0189	0.0074	0.0080	0.0193	i
35	0.1690	0.1408(−1)	13	1.5585	4	0.0044	0.0048	0.0128	0.0096	0.0103	0.0293	i
36	0.1660	0.2075(−1)	9	1.0575	2	0.0042	0.0045	0.0121	0.0150	0.0162	0.0434	i
37	0.0576	0.1371(−2)	43	16.0030	15	0.0095	0.0104	0.0156	0.0219	0.0236	0.0352	i
38	0.0608	0.3375(−2)	19	6.5017	5	0.0057	0.0062	0.0098	0.0044	0.0048	0.0100	i
39	0.2820	0.8545(−2)	34	2.5681	11	0.0137	0.0149	0.0499	0.0277	0.0302	0.0971	i
40	0.3476	0.3049(−2)	115	7.1964	17	0.0053	0.0058	0.0212	0.0222	0.0241	0.0851	i
41	0.5486	0.2194(−1)	26	1.0000	11	0.0070	0.0076	0.0358	0.0204	0.0223	0.1057	i
42	0.3026	0.4684(−3)	647	46.8512	12	0.0049	0.0053	0.0182	0.0060	0.0065	0.0224	i
43	0.2295	0.7575(−3)	304	28.9695	9	0.0049	0.0053	0.0158	0.0053	0.0058	0.0181	i
44	0.1457	0.1457(−2)	101	15.0605	9	0.0055	0.0059	0.0142	0.0127	0.0137	0.0314	i
45	0.1732	0.3331(−2)	53	6.5873	5	0.0054	0.0058	0.0152	0.0053	0.0057	0.0153	i
46	0.1430	0.7151(−3)	201	30.6834	8	0.0027	0.0029	0.0069	0.0028	0.0031	0.0100	i
47	0.2708	0.3611(−2)	76	6.0762	11	0.0055	0.0060	0.0195	0.0092	0.0100	0.0330	i
48	0.2287	0.1271(−2)	181	17.2683	19	0.0037	0.0040	0.0121	0.0051	0.0056	0.0178	i
49	0.3278	0.1285(−2)	256	17.0699	20	0.0050	0.0055	0.0195	0.0087	0.0094	0.0345	i
50	0.1273	0.6399(−3)	200	34.2916	11	0.0046	0.0050	0.0111	0.0052	0.0056	0.0128	i
51	435.6503	0.7261(2)	7	7.0000	2	0.0100	0.0109	0.0100	0.0044	0.0048	0.0100	j

Notes. First, we give the lightcurve identifier (k), time span (T_k), mean sampling time interval (ΔT_k), number of observations (N_k), and effective number of observations (N_k,eff, Eq. (38)). Second, we give the number of nodes for the cubic spline fit based on the Bayesian information criterion (N_BIC)), the rms-value of the spline fit in relative brightness (rms(ℓ)) and relative magnitude (rms(m)), and the resulting initial uncertainty (σ_ɛ “ini”). Third, we give the resulting rms-values and uncertainty (σ_ɛ “fin”) for the best-fit model from convex inversion. In the third column, for example, 0.4658(−2) stands for 0.4658 × 10⁻².

References. Lightcurve observations: a. Chang & Chang (1963), b. Lupishko et al. (1983), c. Zappala et al. (1984), d. Lupishko et al. (1987), e. Dotto et al. (1992), f. Lagerkvist et al. (1995), g. Denchev et al. (1998), h. data by P. Denchev, see Ďurech et al. (2010), i. Carry et al. (2010), j. Gaia Collaboration (2018a).

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