<title>Differential Atmospheric Refraction

Differential atmospheric refraction in arcseconds, at an altitude of 2 km, as function of wavelength (horizontal, in Angstrom) and airmass (vertical). This table can be used to calculate expected slit losses as function of wavelength and slit width, in case the slit can not be oriented along the paralactic angle. [Fillipenko 1982, PASP, 94, 175]

3000 3500 4000 4500 5000 5500 6000 6500 7000 7500 8000 8500 9000 9500 10000

sec z

1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1.05 0.68 0.38 0.20 0.08 0.00 -0.06 -0.11 -0.14 -0.17 -0.19 -0.21 -0.23 -0.24 -0.25 -0.26

1.10 0.97 0.55 0.29 0.12 0.00 -0.09 -0.15 -0.20 -0.24 -0.28 -0.30 -0.32 -0.34 -0.36 -0.37

1.15 1.20 0.68 0.36 0.15 0.00 -0.11 -0.19 -0.25 -0.30 -0.34 -0.38 -0.40 -0.42 -0.44 -0.46

1.20 1.40 0.80 0.42 0.17 0.00 -0.13 -0.22 -0.30 -0.35 -0.40 -0.44 -0.47 -0.50 -0.52 -0.54

1.25 1.59 0.90 0.48 0.20 0.00 -0.14 -0.25 -0.33 -0.40 -0.45 -0.50 -0.53 -0.56 -0.59 -0.61

1.30 1.76 1.00 0.53 0.22 0.00 -0.16 -0.28 -0.37 -0.44 -0.50 -0.55 -0.59 -0.62 -0.65 -0.67

1.35 1.92 1.09 0.58 0.24 0.00 -0.17 -0.30 -0.40 -0.48 -0.55 -0.60 -0.64 -0.68 -0.71 -0.73

1.40 2.07 1.18 0.62 0.26 0.00 -0.19 -0.33 -0.44 -0.52 -0.59 -0.65 -0.69 -0.73 -0.77 -0.79

1.45 0.22 1.26 0.67 0.28 0.00 -0.20 -0.35 -0.47 -0.56 -0.63 -0.69 -0.74 -0.79 -0.82 -0.85

1.50 2.37 1.34 0.71 0.29 0.00 -0.21 -0.37 -0.50 -0.60 -0.68 -0.74 -0.79 -0.84 -0.87 -0.91

1.55 2.51 1.42 0.75 0.31 0.00 -0.23 -0.40 -0.53 -0.63 -0.72 -0.78 -0.84 -0.89 -0.93 -0.96

1.60 2.64 1.50 0.80 0.33 0.00 -0.24 -0.42 -0.56 -0.67 -0.75 -0.83 -0.88 -0.93 -0.98 -1.01

1.65 2.78 1.58 0.84 0.34 0.00 -0.25 -0.44 -0.59 -0.70 -0.79 -0.87 -0.93 -0.98 -1.03 -1.06

1.70 2.91 1.65 0.88 0.36 0.00 -0.26 -0.46 -0.61 -0.73 -0.83 -0.91 -0.97 -1.03 -1.07 -1.11

1.75 3.04 1.73 0.92 0.38 0.00 -0.27 -0.48 -0.64 -0.77 -0.87 -0.95 -1.02 -1.07 -1.12 -1.16

1.80 3.17 1.80 0.95 0.39 0.00 -0.29 -0.50 -0.67 -0.80 -0.90 -0.99 -1.06 -1.12 -1.17 -1.21

1.85 3.29 1.87 0.99 0.41 0.00 -0.30 -0.52 -0.69 -0.83 -0.94 -1.03 -1.10 -1.16 -1.22 -1.26

1.90 3.42 1.94 1.03 0.42 0.00 -0.31 -0.54 -0.72 -0.86 -0.98 -1.07 -1.14 -1.21 -1.26 -1.31

1.95 3.54 2.01 1.07 0.44 0.00 -0.32 -0.56 -0.75 -0.89 -1.01 -1.11 -1.19 -1.25 -1.31 -1.36

3000 3500 4000 4500 5000 5500 6000 6500 7000 7500 8000 8500 9000 9500 10000

2.00 3.67 2.08 1.10 0.45 0.00 -0.33 -0.58 -0.77 -0.92 -1.05 -1.15 -1.23 -1.30 -1.35 -1.40

2.10 3.91 2.22 1.18 0.48 0.00 -0.35 -0.62 -0.82 -0.99 -1.12 -1.22 -1.31 -1.38 -1.44 -1.50

2.20 4.15 2.36 1.25 0.51 0.00 -0.37 -0.66 -0.87 -1.05 -1.18 -1.30 -1.39 -1.47 -1.53 -1.59

2.30 4.38 2.49 1.32 0.54 0.00 -0.40 -0.69 -0.92 -1.11 -1.25 -1.37 -1.47 -1.55 -.162 -1.68

2.40 4.62 2.62 1.39 0.57 0.00 -0.42 -0.73 -0.97 -1.16 -1.32 -1.44 -1.55 -1.63 -1.70 -1.77

2.50 4.85 2.75 1.46 0.60 0.00 -0.44 -0.77 -1.02 -1.22 -1.38 -1.52 -1.62 -1.71 -1.79 -1.86

2.60 5.08 2.88 1.53 0.63 0.00 -0.46 -0.80 -1.07 -1.28 -1.45 -1.59 -1.70 -1.80 -1.88 -1.94

2.70 5.31 3.01 1.60 0.66 0.00 -0.48 -0.84 -1.12 -1.34 -1.51 -1.66 -1.78 -1.88 -1.96 -2.03

2.80 5.54 3.14 1.67 0.69 0.00 -0.50 -0.88 -1.17 -1.40 -1.58 -1.73 -1.85 -1.96 -2.04 -2.12

2.90 5.76 3.27 1.74 0.71 0.00 -0.52 -0.91 -1.21 -1.45 -1.64 -1.80 -1.93 -2.04 -2.13 -2.20

3.00 5.99 3.40 1.80 0.74 0.00 -0.54 -0.95 -1.26 -1.51 -1.71 -1.87 -2.00 -2.12 -2.21 -2.29

3.10 6.21 3.53 1.87 0.77 0.00 -0.56 -0.98 -1.31 -.1.57 -1.77 -1.94 -2.08 -2.19 -2.29 -2.38

3.20 6.44 3.65 1.94 0.80 0.00 -0.58 -1.02 -1.36 -1.62 -1.84 -2.01 -2.15 -2.27 -2.38 -2.46

3.30 6.66 3.78 2.00 0.83 0.00 -0.60 -1.05 -1.40 -1.68 -1.90 -2.08 -2.23 -2.35 -2.46 -2.55

3.40 6.88 3.91 2.07 0.85 0.00 -0.62 -1.09 -1.45 -1.73 -1.96 -2.15 -2.30 -2.43 -2.54 -2.63

3.50 7.10 4.03 2.14 0.88 0.00 -0.64 -1.12 -1.50 -1.79 -2.03 -2.22 -2.38 -2.51 -2.62 -2.72

3.60 7.32 4.16 2.20 0.91 0.00 -0.66 -1.16 -1.54 -1.85 -2.09 -2.29 -2.45 -2.59 -2.70 -2.80

3.70 7.54 4.28 2.27 0.94 0.00 -0.68 -1.19 -1.59 -1.90 -2.15 -2.36 -2.52 -2.66 -2.78 -2.88

3.80 7.76 4.41 2.34 0.96 0.00 -0.70 -1.23 -1.64 -1.96 -2.21 -2.42 -2.60 -2.74 -2.86 -2.97

3.90 7.98 4.53 2.40 0.99 0.00 -0.72 -1.26 -1.68 -2.01 -2.28 -2.49 -2.67 -2.82 -2.95 -3.05

3000 3500 4000 4500 5000 5500 6000 6500 7000 7500 8000 8500 9000 9500 10000

4.00 8.20 4.66 2.47 1.02 0.00 -0.74 -1.30 -1.73 -2.07 -2.34 -2.56 -2.74 -2.90 -3.03 -3.14

4.10 8.42 4.78 2.53 1.04 0.00 -0.76 -1.33 -1.77 -2.12 -2.40 -2.63 -2.82 -2.97 -3.11 -3.22

4.20 8.64 4.90 2.60 1.07 0.00 -0.78 -1.37 -1.82 -2.18 -2.46 -2.70 -2.89 -3.05 -3.19 -3.30

4.30 8.85 5.03 2.67 1.10 0.00 -0.80 -1.40 -1.87 -2.23 -2.53 -2.77 -2.96 -3.13 -3.27 -3.39

4.40 9.07 5.15 2.73 1.12 0.00 -0.82 -1.44 -1.91 -2.29 -2.59 -2.83 -3.04 -3.21 -3.35 -3.47

4.50 9.29 5.27 2.80 1.15 0.00 -0.84 -1.47 -1.96 -2.34 -2.65 -2.90 -3.11 -3.28 -3.43 -3.55

4.60 9.51 5.40 2.86 1.18 0.00 -0.86 -1.51 -2.00 -2.40 -2.71 -2.97 -3.18 -3.36 -3.51 -3.64

4.70 9.72 5.52 2.93 1.21 0.00 -0.88 -1.54 -2.05 -2.45 -2.77 -3.04 -3.25 -3.44 -3.59 -3.72

4.80 9.94 5.64 2.99 1.23 0.00 -0.90 -1.57 -2.09 -2.51 -2.84 -3.10 -3.33 -3.51 -3.67 -3.80

4.90 10.15 5.77 3.06 1.26 0.00 -0.92 -1.61 -2.14 -2.56 -2.90 -3.17 -3.40 -3.59 -3.75 -3.88

Table: Atmospheric differential refraction at an altitude of 2 km in arcseconds with respect to a wavelength of 5000 Angstrom

EUROPEAN SOUTHERN OBSERVATORY

La Silla Science Operations: NTT

Differential Atmospheric Refraction

Differential Atmospheric Refraction

	3000	3500	4000	4500	5000	5500	6000	6500	7000	7500	8000	8500	9000	9500	10000
sec z
1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
1.05	0.68	0.38	0.20	0.08	0.00	-0.06	-0.11	-0.14	-0.17	-0.19	-0.21	-0.23	-0.24	-0.25	-0.26
1.10	0.97	0.55	0.29	0.12	0.00	-0.09	-0.15	-0.20	-0.24	-0.28	-0.30	-0.32	-0.34	-0.36	-0.37
1.15	1.20	0.68	0.36	0.15	0.00	-0.11	-0.19	-0.25	-0.30	-0.34	-0.38	-0.40	-0.42	-0.44	-0.46
1.20	1.40	0.80	0.42	0.17	0.00	-0.13	-0.22	-0.30	-0.35	-0.40	-0.44	-0.47	-0.50	-0.52	-0.54
1.25	1.59	0.90	0.48	0.20	0.00	-0.14	-0.25	-0.33	-0.40	-0.45	-0.50	-0.53	-0.56	-0.59	-0.61
1.30	1.76	1.00	0.53	0.22	0.00	-0.16	-0.28	-0.37	-0.44	-0.50	-0.55	-0.59	-0.62	-0.65	-0.67
1.35	1.92	1.09	0.58	0.24	0.00	-0.17	-0.30	-0.40	-0.48	-0.55	-0.60	-0.64	-0.68	-0.71	-0.73
1.40	2.07	1.18	0.62	0.26	0.00	-0.19	-0.33	-0.44	-0.52	-0.59	-0.65	-0.69	-0.73	-0.77	-0.79
1.45	0.22	1.26	0.67	0.28	0.00	-0.20	-0.35	-0.47	-0.56	-0.63	-0.69	-0.74	-0.79	-0.82	-0.85

1.50	2.37	1.34	0.71	0.29	0.00	-0.21	-0.37	-0.50	-0.60	-0.68	-0.74	-0.79	-0.84	-0.87	-0.91
1.55	2.51	1.42	0.75	0.31	0.00	-0.23	-0.40	-0.53	-0.63	-0.72	-0.78	-0.84	-0.89	-0.93	-0.96
1.60	2.64	1.50	0.80	0.33	0.00	-0.24	-0.42	-0.56	-0.67	-0.75	-0.83	-0.88	-0.93	-0.98	-1.01
1.65	2.78	1.58	0.84	0.34	0.00	-0.25	-0.44	-0.59	-0.70	-0.79	-0.87	-0.93	-0.98	-1.03	-1.06
1.70	2.91	1.65	0.88	0.36	0.00	-0.26	-0.46	-0.61	-0.73	-0.83	-0.91	-0.97	-1.03	-1.07	-1.11
1.75	3.04	1.73	0.92	0.38	0.00	-0.27	-0.48	-0.64	-0.77	-0.87	-0.95	-1.02	-1.07	-1.12	-1.16
1.80	3.17	1.80	0.95	0.39	0.00	-0.29	-0.50	-0.67	-0.80	-0.90	-0.99	-1.06	-1.12	-1.17	-1.21
1.85	3.29	1.87	0.99	0.41	0.00	-0.30	-0.52	-0.69	-0.83	-0.94	-1.03	-1.10	-1.16	-1.22	-1.26
1.90	3.42	1.94	1.03	0.42	0.00	-0.31	-0.54	-0.72	-0.86	-0.98	-1.07	-1.14	-1.21	-1.26	-1.31
1.95	3.54	2.01	1.07	0.44	0.00	-0.32	-0.56	-0.75	-0.89	-1.01	-1.11	-1.19	-1.25	-1.31	-1.36


	3000	3500	4000	4500	5000	5500	6000	6500	7000	7500	8000	8500	9000	9500	10000
2.00	3.67	2.08	1.10	0.45	0.00	-0.33	-0.58	-0.77	-0.92	-1.05	-1.15	-1.23	-1.30	-1.35	-1.40
2.10	3.91	2.22	1.18	0.48	0.00	-0.35	-0.62	-0.82	-0.99	-1.12	-1.22	-1.31	-1.38	-1.44	-1.50
2.20	4.15	2.36	1.25	0.51	0.00	-0.37	-0.66	-0.87	-1.05	-1.18	-1.30	-1.39	-1.47	-1.53	-1.59
2.30	4.38	2.49	1.32	0.54	0.00	-0.40	-0.69	-0.92	-1.11	-1.25	-1.37	-1.47	-1.55	-.162	-1.68
2.40	4.62	2.62	1.39	0.57	0.00	-0.42	-0.73	-0.97	-1.16	-1.32	-1.44	-1.55	-1.63	-1.70	-1.77
2.50	4.85	2.75	1.46	0.60	0.00	-0.44	-0.77	-1.02	-1.22	-1.38	-1.52	-1.62	-1.71	-1.79	-1.86
2.60	5.08	2.88	1.53	0.63	0.00	-0.46	-0.80	-1.07	-1.28	-1.45	-1.59	-1.70	-1.80	-1.88	-1.94
2.70	5.31	3.01	1.60	0.66	0.00	-0.48	-0.84	-1.12	-1.34	-1.51	-1.66	-1.78	-1.88	-1.96	-2.03
2.80	5.54	3.14	1.67	0.69	0.00	-0.50	-0.88	-1.17	-1.40	-1.58	-1.73	-1.85	-1.96	-2.04	-2.12
2.90	5.76	3.27	1.74	0.71	0.00	-0.52	-0.91	-1.21	-1.45	-1.64	-1.80	-1.93	-2.04	-2.13	-2.20

3.00	5.99	3.40	1.80	0.74	0.00	-0.54	-0.95	-1.26	-1.51	-1.71	-1.87	-2.00	-2.12	-2.21	-2.29
3.10	6.21	3.53	1.87	0.77	0.00	-0.56	-0.98	-1.31	-.1.57	-1.77	-1.94	-2.08	-2.19	-2.29	-2.38
3.20	6.44	3.65	1.94	0.80	0.00	-0.58	-1.02	-1.36	-1.62	-1.84	-2.01	-2.15	-2.27	-2.38	-2.46
3.30	6.66	3.78	2.00	0.83	0.00	-0.60	-1.05	-1.40	-1.68	-1.90	-2.08	-2.23	-2.35	-2.46	-2.55
3.40	6.88	3.91	2.07	0.85	0.00	-0.62	-1.09	-1.45	-1.73	-1.96	-2.15	-2.30	-2.43	-2.54	-2.63
3.50	7.10	4.03	2.14	0.88	0.00	-0.64	-1.12	-1.50	-1.79	-2.03	-2.22	-2.38	-2.51	-2.62	-2.72
3.60	7.32	4.16	2.20	0.91	0.00	-0.66	-1.16	-1.54	-1.85	-2.09	-2.29	-2.45	-2.59	-2.70	-2.80
3.70	7.54	4.28	2.27	0.94	0.00	-0.68	-1.19	-1.59	-1.90	-2.15	-2.36	-2.52	-2.66	-2.78	-2.88
3.80	7.76	4.41	2.34	0.96	0.00	-0.70	-1.23	-1.64	-1.96	-2.21	-2.42	-2.60	-2.74	-2.86	-2.97
3.90	7.98	4.53	2.40	0.99	0.00	-0.72	-1.26	-1.68	-2.01	-2.28	-2.49	-2.67	-2.82	-2.95	-3.05


	3000	3500	4000	4500	5000	5500	6000	6500	7000	7500	8000	8500	9000	9500	10000
4.00	8.20	4.66	2.47	1.02	0.00	-0.74	-1.30	-1.73	-2.07	-2.34	-2.56	-2.74	-2.90	-3.03	-3.14
4.10	8.42	4.78	2.53	1.04	0.00	-0.76	-1.33	-1.77	-2.12	-2.40	-2.63	-2.82	-2.97	-3.11	-3.22
4.20	8.64	4.90	2.60	1.07	0.00	-0.78	-1.37	-1.82	-2.18	-2.46	-2.70	-2.89	-3.05	-3.19	-3.30
4.30	8.85	5.03	2.67	1.10	0.00	-0.80	-1.40	-1.87	-2.23	-2.53	-2.77	-2.96	-3.13	-3.27	-3.39
4.40	9.07	5.15	2.73	1.12	0.00	-0.82	-1.44	-1.91	-2.29	-2.59	-2.83	-3.04	-3.21	-3.35	-3.47
4.50	9.29	5.27	2.80	1.15	0.00	-0.84	-1.47	-1.96	-2.34	-2.65	-2.90	-3.11	-3.28	-3.43	-3.55
4.60	9.51	5.40	2.86	1.18	0.00	-0.86	-1.51	-2.00	-2.40	-2.71	-2.97	-3.18	-3.36	-3.51	-3.64
4.70	9.72	5.52	2.93	1.21	0.00	-0.88	-1.54	-2.05	-2.45	-2.77	-3.04	-3.25	-3.44	-3.59	-3.72
4.80	9.94	5.64	2.99	1.23	0.00	-0.90	-1.57	-2.09	-2.51	-2.84	-3.10	-3.33	-3.51	-3.67	-3.80
4.90	10.15	5.77	3.06	1.26	0.00	-0.92	-1.61	-2.14	-2.56	-2.90	-3.17	-3.40	-3.59	-3.75	-3.88