Table 3. Open in new tab Epochs of...

No.	c	s	t _r ± Δt	\|$\langle t_{\rm r}\rangle \pm s/\sqrt{N}$\|	95% C.I.	90% C.I.
Non-determinatives, Fourier method, N_BS = 40000
88	–0.70	1.32	–120 ± 25	–119.5 ± 43.1	[−202, −31]	[−189, −48]
84	–0.80	0.90	–153 ± 18	–153.6 ± 29.8	[−212, −95]	[−202, −105]
79	–0.77	0.78	–144 ± 16	–144.3 ± 26.9	[−197, −92]	[−188, −100]
75	–0.81	0.71	–151 ± 15	–151.2 ± 24.8	[−200, −102]	[−192, −110]
73	–0.86	0.66	–137 ± 14	–136.8 ± 23.5	[−183, −90]	[−175, −98]
71	–0.91	0.62	–124 ± 13	–123.8 ± 22.8	[−168, −79]	[−161, −86]
70	–0.94	0.60	–112 ± 13	–111.9 ± 22.3	[−155, −68]	[−149, −75]
68	–0.90	0.57	–102 ± 12	–101.9 ± 21.3	[−143, −60]	[−137, −67]
67	–0.92	0.56	–100 ± 12	–100.2 ± 20.8	[−140, −59]	[−134, −66]
65	–0.92	0.53	–103 ± 12	–103.3 ± 20.1	[−143, −64]	[−136, −70]
64	–0.92	0.52	–104 ± 12	–103.9 ± 19.6	[−142, −66]	[−136, −72]
63	–0.92	0.50	–104 ± 11	–103.9 ± 18.9	[−141, −67]	[−135, −73]
Non-determinatives, χ² method, N_BS = 40000
88	–0.76	1.32	–103 ± 25	–102.5 ± 36.4	[−173, −30]	[−162, −42]
84	–0.79	0.89	–122 ± 17	–121.8 ± 24.8	[−170, −73]	[−162, −81]
81	–0.72	0.80	–95 ± 16	–95.2 ± 23.2	[−140, −49]	[−133, −57]
79	–0.73	0.77	–85 ± 15	–84.9 ± 22.4	[−128, −41]	[−122, −48]
77	–0.77	0.74	–80 ± 15	–80.2 ± 21.8	[−123, −38]	[−116, −45]
73	–0.85	0.66	–86 ± 14	–86.3 ± 20.4	[−127, −47]	[−120, −53]
69	–0.89	0.58	–102 ± 13	–101.8 ± 18.4	[−137, −66]	[−132, −72]
66	–0.91	0.54	–100 ± 12	–99.8 ± 17.2	[−133, −66]	[−128, −71]
65	–0.92	0.53	–103 ± 12	–103.0 ± 16.8	[−136, −70]	[−131, −75]
63	–0.96	0.50	–107 ± 11	–106.5 ± 15.9	[−138, −76]	[−133, −81]

No.

t _r ± Δt

|$\langle t_{\rm r}\rangle \pm s/\sqrt{N}$|

95% C.I.

90% C.I.

Non-determinatives, Fourier method, N_BS = 40000

–0.70

1.32

–120 ± 25

–119.5 ± 43.1

[−202, −31]

[−189, −48]

–0.80

0.90

–153 ± 18

–153.6 ± 29.8

[−212, −95]

[−202, −105]

–0.77

0.78

–144 ± 16

–144.3 ± 26.9

[−197, −92]

[−188, −100]

–0.81

0.71

–151 ± 15

–151.2 ± 24.8

[−200, −102]

[−192, −110]

–0.86

0.66

–137 ± 14

–136.8 ± 23.5

[−183, −90]

[−175, −98]

–0.91

0.62

–124 ± 13

–123.8 ± 22.8

[−168, −79]

[−161, −86]

–0.94

0.60

–112 ± 13

–111.9 ± 22.3

[−155, −68]

[−149, −75]

–0.90

0.57

–102 ± 12

–101.9 ± 21.3

[−143, −60]

[−137, −67]

–0.92

0.56

–100 ± 12

–100.2 ± 20.8

[−140, −59]

[−134, −66]

–0.92

0.53

–103 ± 12

–103.3 ± 20.1

[−143, −64]

[−136, −70]

–0.92

0.52

–104 ± 12

–103.9 ± 19.6

[−142, −66]

[−136, −72]

–0.92

0.50

–104 ± 11

–103.9 ± 18.9

[−141, −67]

[−135, −73]

Non-determinatives, χ² method, N_BS = 40000

–0.76

1.32

–103 ± 25

–102.5 ± 36.4

[−173, −30]

[−162, −42]

–0.79

0.89

–122 ± 17

–121.8 ± 24.8

[−170, −73]

[−162, −81]

–0.72

0.80

–95 ± 16

–95.2 ± 23.2

[−140, −49]

[−133, −57]

–0.73

0.77

–85 ± 15

–84.9 ± 22.4

[−128, −41]

[−122, −48]

–0.77

0.74

–80 ± 15

–80.2 ± 21.8

[−123, −38]

[−116, −45]

–0.85

0.66

–86 ± 14

–86.3 ± 20.4

[−127, −47]

[−120, −53]

–0.89

0.58

–102 ± 13

–101.8 ± 18.4

[−137, −66]

[−132, −72]

–0.91

0.54

–100 ± 12

–99.8 ± 17.2

[−133, −66]

[−128, −71]

–0.92

0.53

–103 ± 12

–103.0 ± 16.8

[−136, −70]

[−131, −75]

–0.96

0.50

–107 ± 11

–106.5 ± 15.9

[−138, −76]

[−133, −81]

No.	c	s	t _r ± Δt	\|$\langle t_{\rm r}\rangle \pm s/\sqrt{N}$\|	95% C.I.	90% C.I.
Non-determinatives, Fourier method, N_BS = 40000
88	–0.70	1.32	–120 ± 25	–119.5 ± 43.1	[−202, −31]	[−189, −48]
84	–0.80	0.90	–153 ± 18	–153.6 ± 29.8	[−212, −95]	[−202, −105]
79	–0.77	0.78	–144 ± 16	–144.3 ± 26.9	[−197, −92]	[−188, −100]
75	–0.81	0.71	–151 ± 15	–151.2 ± 24.8	[−200, −102]	[−192, −110]
73	–0.86	0.66	–137 ± 14	–136.8 ± 23.5	[−183, −90]	[−175, −98]
71	–0.91	0.62	–124 ± 13	–123.8 ± 22.8	[−168, −79]	[−161, −86]
70	–0.94	0.60	–112 ± 13	–111.9 ± 22.3	[−155, −68]	[−149, −75]
68	–0.90	0.57	–102 ± 12	–101.9 ± 21.3	[−143, −60]	[−137, −67]
67	–0.92	0.56	–100 ± 12	–100.2 ± 20.8	[−140, −59]	[−134, −66]
65	–0.92	0.53	–103 ± 12	–103.3 ± 20.1	[−143, −64]	[−136, −70]
64	–0.92	0.52	–104 ± 12	–103.9 ± 19.6	[−142, −66]	[−136, −72]
63	–0.92	0.50	–104 ± 11	–103.9 ± 18.9	[−141, −67]	[−135, −73]
Non-determinatives, χ² method, N_BS = 40000
88	–0.76	1.32	–103 ± 25	–102.5 ± 36.4	[−173, −30]	[−162, −42]
84	–0.79	0.89	–122 ± 17	–121.8 ± 24.8	[−170, −73]	[−162, −81]
81	–0.72	0.80	–95 ± 16	–95.2 ± 23.2	[−140, −49]	[−133, −57]
79	–0.73	0.77	–85 ± 15	–84.9 ± 22.4	[−128, −41]	[−122, −48]
77	–0.77	0.74	–80 ± 15	–80.2 ± 21.8	[−123, −38]	[−116, −45]
73	–0.85	0.66	–86 ± 14	–86.3 ± 20.4	[−127, −47]	[−120, −53]
69	–0.89	0.58	–102 ± 13	–101.8 ± 18.4	[−137, −66]	[−132, −72]
66	–0.91	0.54	–100 ± 12	–99.8 ± 17.2	[−133, −66]	[−128, −71]
65	–0.92	0.53	–103 ± 12	–103.0 ± 16.8	[−136, −70]	[−131, −75]
63	–0.96	0.50	–107 ± 11	–106.5 ± 15.9	[−138, −76]	[−133, −81]

Table 3.

Open in new tab

Epochs of observation and their uncertainties for the SSXJ stars excluding the 28 determinative stars.*

No.	c	s	t _r ± Δt	\|$\langle t_{\rm r}\rangle \pm s/\sqrt{N}$\|	95% C.I.	90% C.I.
Non-determinatives, Fourier method, N_BS = 40000
88	–0.70	1.32	–120 ± 25	–119.5 ± 43.1	[−202, −31]	[−189, −48]
84	–0.80	0.90	–153 ± 18	–153.6 ± 29.8	[−212, −95]	[−202, −105]
79	–0.77	0.78	–144 ± 16	–144.3 ± 26.9	[−197, −92]	[−188, −100]
75	–0.81	0.71	–151 ± 15	–151.2 ± 24.8	[−200, −102]	[−192, −110]
73	–0.86	0.66	–137 ± 14	–136.8 ± 23.5	[−183, −90]	[−175, −98]
71	–0.91	0.62	–124 ± 13	–123.8 ± 22.8	[−168, −79]	[−161, −86]
70	–0.94	0.60	–112 ± 13	–111.9 ± 22.3	[−155, −68]	[−149, −75]
68	–0.90	0.57	–102 ± 12	–101.9 ± 21.3	[−143, −60]	[−137, −67]
67	–0.92	0.56	–100 ± 12	–100.2 ± 20.8	[−140, −59]	[−134, −66]
65	–0.92	0.53	–103 ± 12	–103.3 ± 20.1	[−143, −64]	[−136, −70]
64	–0.92	0.52	–104 ± 12	–103.9 ± 19.6	[−142, −66]	[−136, −72]
63	–0.92	0.50	–104 ± 11	–103.9 ± 18.9	[−141, −67]	[−135, −73]
Non-determinatives, χ² method, N_BS = 40000
88	–0.76	1.32	–103 ± 25	–102.5 ± 36.4	[−173, −30]	[−162, −42]
84	–0.79	0.89	–122 ± 17	–121.8 ± 24.8	[−170, −73]	[−162, −81]
81	–0.72	0.80	–95 ± 16	–95.2 ± 23.2	[−140, −49]	[−133, −57]
79	–0.73	0.77	–85 ± 15	–84.9 ± 22.4	[−128, −41]	[−122, −48]
77	–0.77	0.74	–80 ± 15	–80.2 ± 21.8	[−123, −38]	[−116, −45]
73	–0.85	0.66	–86 ± 14	–86.3 ± 20.4	[−127, −47]	[−120, −53]
69	–0.89	0.58	–102 ± 13	–101.8 ± 18.4	[−137, −66]	[−132, −72]
66	–0.91	0.54	–100 ± 12	–99.8 ± 17.2	[−133, −66]	[−128, −71]
65	–0.92	0.53	–103 ± 12	–103.0 ± 16.8	[−136, −70]	[−131, −75]
63	–0.96	0.50	–107 ± 11	–106.5 ± 15.9	[−138, −76]	[−133, −81]

No.	c	s	t _r ± Δt	\|$\langle t_{\rm r}\rangle \pm s/\sqrt{N}$\|	95% C.I.	90% C.I.
Non-determinatives, Fourier method, N_BS = 40000
88	–0.70	1.32	–120 ± 25	–119.5 ± 43.1	[−202, −31]	[−189, −48]
84	–0.80	0.90	–153 ± 18	–153.6 ± 29.8	[−212, −95]	[−202, −105]
79	–0.77	0.78	–144 ± 16	–144.3 ± 26.9	[−197, −92]	[−188, −100]
75	–0.81	0.71	–151 ± 15	–151.2 ± 24.8	[−200, −102]	[−192, −110]
73	–0.86	0.66	–137 ± 14	–136.8 ± 23.5	[−183, −90]	[−175, −98]
71	–0.91	0.62	–124 ± 13	–123.8 ± 22.8	[−168, −79]	[−161, −86]
70	–0.94	0.60	–112 ± 13	–111.9 ± 22.3	[−155, −68]	[−149, −75]
68	–0.90	0.57	–102 ± 12	–101.9 ± 21.3	[−143, −60]	[−137, −67]
67	–0.92	0.56	–100 ± 12	–100.2 ± 20.8	[−140, −59]	[−134, −66]
65	–0.92	0.53	–103 ± 12	–103.3 ± 20.1	[−143, −64]	[−136, −70]
64	–0.92	0.52	–104 ± 12	–103.9 ± 19.6	[−142, −66]	[−136, −72]
63	–0.92	0.50	–104 ± 11	–103.9 ± 18.9	[−141, −67]	[−135, −73]
Non-determinatives, χ² method, N_BS = 40000
88	–0.76	1.32	–103 ± 25	–102.5 ± 36.4	[−173, −30]	[−162, −42]
84	–0.79	0.89	–122 ± 17	–121.8 ± 24.8	[−170, −73]	[−162, −81]
81	–0.72	0.80	–95 ± 16	–95.2 ± 23.2	[−140, −49]	[−133, −57]
79	–0.73	0.77	–85 ± 15	–84.9 ± 22.4	[−128, −41]	[−122, −48]
77	–0.77	0.74	–80 ± 15	–80.2 ± 21.8	[−123, −38]	[−116, −45]
73	–0.85	0.66	–86 ± 14	–86.3 ± 20.4	[−127, −47]	[−120, −53]
69	–0.89	0.58	–102 ± 13	–101.8 ± 18.4	[−137, −66]	[−132, −72]
66	–0.91	0.54	–100 ± 12	–99.8 ± 17.2	[−133, −66]	[−128, −71]
65	–0.92	0.53	–103 ± 12	–103.0 ± 16.8	[−136, −70]	[−131, −75]
63	–0.96	0.50	–107 ± 11	–106.5 ± 15.9	[−138, −76]	[−133, −81]

We use both Fourier and χ² methods. The first column is the number of reference stars in the sample analyzed. The second column is the misalignment error c in Babylonian degrees. The third column is the measurement errors s in Babylonian degrees. The fourth column is the estimated epoch of observation t_r with its uncertainty, or the standard deviation of the mean Δt. The fifth to seventh columns represent the uncertainties estimated by bootstrap resamplings.

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