Inimo dois eclipses sendo os dois solares e no

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ınimo dois eclipses, sendo os dois solares, e no m´aximo sete eclipses, sendo cinco solares e 2 lunares ou quatro solares e trˆ es lunares. Saros A dire¸c˜ ao da linha dos nodos n˜ao ´ e constante, mas se desloca devido a efeitos gravitacionais provocados pelo Sol. O per´ ıodo de tempo que a linha dos nodos leva pra dar uma volta completa chama-se Saros , e tem dura¸c˜ ao de 18 anos e 11 dias, ou 6585,32 dias. Nesse per´ ıodo de tempo, Sol, Lua e Terra retornam `as mesmas posi¸c˜ oes relativas, e a sequˆ encia de eclipses solares e lunares se repete, mas n˜ao na mesma hora e no mesmo lugar. Um eclipse em um ciclo acontece aproximadamente 8 horas mais tarde e 120 de longitude mais a oeste do que no ciclo anterior. 8.3 Exemplos de c´ alculos de eclipses 1. Calcular o comprimento m´ edio da sombra da Terra, considerando-se: distˆancia Terra-Sol: 149 600 000 km raio da Terra: 6370 km raio do Sol: 696 000 km 59
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Tabela 8.1: Eclipses do Sol 2010-2020 Data Hora Dinˆ amico Latitude Longitude Tipo de (centro) (centro) (centro) Eclipse 15 Jan 2010 07:07:39 2 N 69 E Anular do Sol 11 Jul 2010 19:34:38 20 S 122 O Total do Sol 4 Jan 2011 08:51:42 65 N 21 E Parcial do Sol 1 Jun 2011 21:17:18 68 N 47 E Parcial do Sol 1 Jul 2011 08:39:30 65 S 29 E Penumbral do Sol 25 Nov 2011 06:21:24 69 S 82 O Parcial do Sol 20 Mai 2012 23:53:54 49 N 176 E Anular do Sol 13 Nov 2012 22:12:55 40 S 161 O Total do Sol 10 Mai 2013 00:26:20 2 N 175 E Anular do Sol 3 Nov 2013 12:47:36 3 N 12 O Total do Sol 29 Abr 2014 06:04:33 71 S 131 E Anular do Sol 23 Out 2014 21:45:39 71 N 97 O Parcial do Sol 20 Mar 2015 09:46:47 64 N 7 O Total do Sol 13 Set 2015 06:55:19 72 S 2 O Parcial do Sol 9 Mar 2016 01:58:19 10 N 149 E Total do Sol 1 Set 2016 09:08:02 11 S 38 E Anular do Sol 26 Fev 2017 14:54:33 35 S 31 O Anular do Sol 21 Ago 2017 18:26:40 37 N 88 O Total do Sol 15 Fev 2018 20:52:33 71 S 1 E Parcial do Sol 13 Jul 2018 03:02:16 68 S 127 E Parcial do Sol 11 Ago 2018 09:47:28 70 N 174 E Parcial do Sol 6 Jan 2019 01:42:38 67 N 154 E Parcial do Sol 2 Jul 2019 19:24:07 17 S 109 O Total do Sol 26 Dez 2019 05:18:53 1 N 102 E Anular do Sol 21 Jun 2020 06:41:15 31 N 80 E Anular do Sol 14 Dez 2020 16:14:39 40 S 68 O Total do Sol A diferen¸ca entre o Tempo Dinˆamico e o Tempo Universal, devido principalmente `a fric¸ ao causada pelas mar´ es, aumenta de 67s em 2010 para 74s em 2020. 60
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Tabela 8.2: Eclipses da Lua 2010-2020 Data Hora Dinˆ amico Tipo de (centro) Eclipse 26 Jun 2010 11:39:34 Parcial da Lua 21 Dez 2010 08:18:04 Total da Lua 15 Jun 2011 20:13:43 Total da Lua 10 Dez 2011 14:32:56 Total da Lua 04 Jun 2012 11:04:20 Parcial da Lua 28 Nov 2012 14:34:07 Penumbral da Lua 25 Abr 2013 20:08:38 Parcial da Lua 25 Mai 2013 04:11:06 Penumbral da Lua 18 Out 2013 23:51:25 Penumbral da Lua 15 Abr 2014 07:46:48 Total da Lua 08 Out 2014 10:55:44 Total da Lua 04 Abr 2015 12:01:24 Total da Lua 28 Set 2015 02:48:17 Total da Lua 23 Mar 2016 11:48:21 Penumbral da Lua 16 Set 2016 18:55:27 Penumbral da Lua 11 Fev 2017 00:45:03 Penumbral da Lua 07 Ago 2017 18:21:38 Parcial da Lua 31 Jan 2018 13:31:00 Total da Lua 27 Jul 2018 20:22:54 Total da Lua 21 Jan 2019 05:13:27 Total da Lua 16 Jul 2019 21:31:55 Parcial da Lua 10 Jan 2020 19:11:11 Penumbral da Lua 05 Jun 2020 19:26:14 Penumbral da Lua 05 Jul 2020 04:31:12 Penumbral da Lua 30 Nov 2020 09:44:01 Penumbral da Lua 61
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Como comprimento da sombra = distˆancia da fonte × raio da esfera raio da fonte - raio da esfera Obtemos: comprimento da sombra = 149 600 000km × 6370km 696 000km - 6370km ou
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