Numerical simulations of exocomet transits: Insights from β Pic and KIC 3542116

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Table 3

Set of the parameters providing the best fit to the observed exocomet transits.

N^o	Star/quarter	Time^(a)	Comet	υ_tan^(b)	a_min (c)	a_max	n(d)	υ_d^(e)	d^(f)	Q_d × 10⁶	b^(𝑔)
		(days)		(km s⁻¹)	(µm)	(µm)		(km s⁻¹)	×10¹⁷	(kg s⁻¹)
1	β Pic	1442.4	C/1995 O1 (Hale–Bopp)	${37.6}_{- 0.4}^{+ 0.4}$ $37.6_{ - 0.4}^{ + 0.4}$	0.1	20.0	−2.0	3.0	4.4	2.42	${0.4}_{- 0.2}^{+ 0.2}$ $0.4_{ - 0.2}^{ + 0.2}$
1	5 quarter	1442.4	C/1995 O1 (Hale–Bopp)	${37.6}_{- 0.4}^{+ 0.4}$ $37.6_{ - 0.4}^{ + 0.4}$	0.1	20.0	−2.0	3.0	4.4	2.42	${0.4}_{- 0.2}^{+ 0.2}$ $0.4_{ - 0.2}^{ + 0.2}$
2	βPic	1486.4	2006/S3 (LONEOS)	${16.9}_{- 1.2}^{+ 1.2}$ $16.9_{ - 1.2}^{ + 1.2}$	5.0	999.0	−3.5	0.5	16.4	0.02	${0.6}_{- 0.07}^{+ 0.07}$ $0.6_{ - 0.07}^{ + 0.07}$
2	6 quarter	1486.4	2006/S3 (LONEOS)	${16.9}_{- 1.2}^{+ 1.2}$ $16.9_{ - 1.2}^{ + 1.2}$	5.0	999.0	−3.5	0.5	16.4	0.02	${0.6}_{- 0.07}^{+ 0.07}$ $0.6_{ - 0.07}^{ + 0.07}$
3	KIC 3542116	136.1	C/1995 O1 (Hale–Bopp)	${51.0}_{- 6.6}^{+ 6.6}$ $51.0_{ - 6.6}^{ + 6.6}$	0.1	20.0	−2.0	3.0	2.2	1.20	${0.3}_{+ 0.2}^{+ 0.2}$ $0.3_{ + 0.2}^{ + 0.2}$
3	1 quarter	136.1	C/1995 O1 (Hale–Bopp)	${51.0}_{- 6.6}^{+ 6.6}$ $51.0_{ - 6.6}^{ + 6.6}$	0.1	20.0	−2.0	3.0	2.2	1.20	${0.3}_{+ 0.2}^{+ 0.2}$ $0.3_{ + 0.2}^{ + 0.2}$
4	KIC 3542116	140.0	C/1995 O1 (Hale–Bopp)	${51.0}_{- 19.9}^{+ 19.9}$ $51.0_{ - 19.9}^{ + 19.9}$	0.1	20.0	−2.0	3.0	6.3	3.45	${0.6}_{- 0.3}^{+ 0.3}$ $0.6_{ - 0.3}^{ + 0.3}$
4	1 quarter	140.0	C/1995 O1 (Hale–Bopp)	${51.0}_{- 19.9}^{+ 19.9}$ $51.0_{ - 19.9}^{ + 19.9}$	0.1	20.0	−2.0	3.0	6.3	3.45	${0.6}_{- 0.3}^{+ 0.3}$ $0.6_{ - 0.3}^{ + 0.3}$
5	KIC 3542116	161.5	C/1995 O1 (Hale–Bopp)	${36.0}_{- 1.4}^{+ 1.4}$ $36.0_{ - 1.4}^{ + 1.4}$	0.1	20.0	−2.0	3.0	2.3	1.25	${0.2}_{- 0.2}^{+ 0.2}$ $0.2_{ - 0.2}^{ + 0.2}$
5	1 quarter	161.5	C/1995 O1 (Hale–Bopp)	${36.0}_{- 1.4}^{+ 1.4}$ $36.0_{ - 1.4}^{ + 1.4}$	0.1	20.0	−2.0	3.0	2.3	1.25	${0.2}_{- 0.2}^{+ 0.2}$ $0.2_{ - 0.2}^{ + 0.2}$
6	KIC 3542116	742.6	1/P Halley	${51.1}_{- 3.4}^{+ 3.4}$ $51.1_{ - 3.4}^{ + 3.4}$	0.1	20.0	−2.0	1.0	3.9	1.71	${0.3}_{- 0.2}^{+ 0.2}$ $0.3_{ - 0.2}^{ + 0.2}$
6	8 quarter	742.6	1/P Halley	${51.1}_{- 3.4}^{+ 3.4}$ $51.1_{ - 3.4}^{ + 3.4}$	0.1	20.0	−2.0	1.0	3.9	1.71	${0.3}_{- 0.2}^{+ 0.2}$ $0.3_{ - 0.2}^{ + 0.2}$
7	KIC 3542116	792.8	1/P Halley	${47.0}_{- 5.0}^{+ 5.0}$ $47.0_{ - 5.0}^{ + 5.0}$	0.1	20.0	−2.0	1.0	7.2	2.66	${0.8}_{- 0.1}^{+ 0.1}$ $0.8_{ - 0.1}^{ + 0.1}$
7	8 quarter	792.8	1/P Halley	${47.0}_{- 5.0}^{+ 5.0}$ $47.0_{ - 5.0}^{ + 5.0}$	0.1	20.0	−2.0	1.0	7.2	2.66	${0.8}_{- 0.1}^{+ 0.1}$ $0.8_{ - 0.1}^{ + 0.1}$
8	KIC 3542116	986.3	C/1995 O1 (Hale–Bopp)	${51.0}_{- 8.3}^{+ 8.3}$ $51.0_{ - 8.3}^{ + 8.3}$	0.1	10.0	−3.5	0.5	7.8	0.13	${0.5}_{- 0.2}^{+ 0.2}$ $0.5_{ - 0.2}^{ + 0.2}$
8	10 quarter	986.3	C/1995 O1 (Hale–Bopp)	${51.0}_{- 8.3}^{+ 8.3}$ $51.0_{ - 8.3}^{ + 8.3}$	0.1	10.0	−3.5	0.5	7.8	0.13	${0.5}_{- 0.2}^{+ 0.2}$ $0.5_{ - 0.2}^{ + 0.2}$
9	KIC 3542116	992.0	2006/S3 (LONEOS)	${16.9}_{- 0.8}^{+ 0.8}$ $16.9_{ - 0.8}^{ + 0.8}$	5.0	999.0	−3.5	0.5	6.8	0.08	${0.4}_{- 0.1}^{+ 0.1}$ $0.4_{ - 0.1}^{ + 0.1}$
9	10 quarter	992.0	2006/S3 (LONEOS)	${16.9}_{- 0.8}^{+ 0.8}$ $16.9_{ - 0.8}^{ + 0.8}$	5.0	999.0	−3.5	0.5	6.8	0.08	${0.4}_{- 0.1}^{+ 0.1}$ $0.4_{ - 0.1}^{ + 0.1}$
10	KIC 3542116	1175.8	1/P Halley	${27.0}_{- 1.7}^{+ 1.7}$ $27.0_{ - 1.7}^{ + 1.7}$	0.1	20.0	−2.0	1.0	9.7	35.30	${0.3}_{- 0.2}^{+ 0.2}$ $0.3_{ - 0.2}^{ + 0.2}$
10	12 quarter	1175.8	1/P Halley	${27.0}_{- 1.7}^{+ 1.7}$ $27.0_{ - 1.7}^{ + 1.7}$	0.1	20.0	−2.0	1.0	9.7	35.30	${0.3}_{- 0.2}^{+ 0.2}$ $0.3_{ - 0.2}^{ + 0.2}$

Notes. ^(a)Moment of the flux minimum; BJD-2457000 d (β Pic), BJD-2454833 d (KIC 3542116). ^(b)The comet tangential speed corresponding to the distance from the star noted in Table 2. ^(c)The minimum and maximum sizes of particles populated the tail. ^(d)The power index of the dust size distribution. ^(e)The particle terminal velocity.^(f)The dust coefficient. ^(g)The impact parameter b.

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