{"id":5022,"date":"2023-08-10T16:34:09","date_gmt":"2023-08-10T15:34:09","guid":{"rendered":"https:\/\/fe.up.pt\/cursosprr\/?post_type=curso&#038;p=5022"},"modified":"2026-05-12T12:23:57","modified_gmt":"2026-05-12T11:23:57","slug":"introducao_astrodinamica","status":"publish","type":"curso","link":"https:\/\/fe.up.pt\/cursosprr\/curso\/introducao_astrodinamica\/","title":{"rendered":"Introdu\u00e7\u00e3o \u00e0 Astrodin\u00e2mica"},"content":{"rendered":"<p><section class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container has-pattern-background has-mask-background fusion-parallax-none hundred-percent-fullwidth non-hundred-percent-height-scrolling lazyload\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:0px;--awb-padding-right:10%;--awb-padding-bottom:0px;--awb-padding-left:10%;--awb-margin-top:0px;--awb-margin-bottom:80px;--awb-min-height:400px;--awb-min-height-small:200px;--awb-background-size:cover;--awb-flex-wrap:wrap;\" data-bg=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/banner_introducao_astrodinamica-1.jpg\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-center fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"width:104% !important;max-width:104% !important;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_2 1_2 fusion-flex-column fusion-flex-align-self-center course-header-title\" style=\"--awb-overflow:visible;--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:3.84%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:3.84%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-1 fusion-sep-none fusion-title-center fusion-title-text fusion-title-size-two course-title\" style=\"--awb-text-color:var(--awb-color8);\"><h2 class=\"fusion-title-heading title-heading-center fusion-responsive-typography-calculated\" style=\"font-family:&quot;Roboto&quot;;font-style:normal;font-weight:700;margin:0;--fontSize:37;line-height:1.4;\">Introdu\u00e7\u00e3o \u00e0 Astrodin\u00e2mica<\/h2><\/div><\/div><\/div><\/div><\/section><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_2 1_2 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:3.84%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:3.84%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-2 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-text-color:var(--awb-color8);--awb-margin-bottom:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"font-family:&quot;Roboto&quot;;font-style:normal;font-weight:700;margin:0;text-transform:uppercase;--fontSize:18;--minFontSize:18;line-height:1;\">Resumo<\/h4><\/div><div class=\"fusion-text fusion-text-1\"><p class=\"p1\">A astrodin\u00e2mica, tamb\u00e9m designada de mec\u00e2nica orbital e mec\u00e2nica celeste, teve um papel crucial no desenvolvimento da mec\u00e2nica cl\u00e1ssica e hoje em dia \u00e9 muito importante no planeamento de miss\u00f5es espaciais e lan\u00e7amento de sat\u00e9lites. A diminui\u00e7\u00e3o do custo de lan\u00e7amento de sat\u00e9lites de pequenas dimens\u00f5es (cubesats) torna-os instrumentos muito \u00fateis em \u00e1reas bastante diversas e que v\u00e3o desde as telecomunica\u00e7\u00f5es, vigil\u00e2ncia, experimenta\u00e7\u00e3o cient\u00edfica, geof\u00edsica, oceanografia e meteorologia, entre outras. Esta forma\u00e7\u00e3o no \u00e2mbito da Engenharia Espacial enquadra-se em v\u00e1rios dom\u00ednios priorit\u00e1rios da especializa\u00e7\u00e3o inteligente ENEI 2030, sendo transversal a v\u00e1rios dom\u00ednios priorit\u00e1rios como a &#8220;Ind\u00fastria e sistemas avan\u00e7ados de fabrico&#8221;, &#8220;Mobilidade sustent\u00e1vel e transi\u00e7\u00e3o energ\u00e9tica&#8221;, &#8220;Recursos e economia do Mar&#8221; e &#8220;Tecnologias, estado, economia e sociedade&#8221;.<\/p>\n<\/div><div class=\"fusion-title title fusion-title-3 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-text-color:var(--awb-color8);--awb-margin-top:20px;--awb-margin-bottom:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"font-family:&quot;Roboto&quot;;font-style:normal;font-weight:700;margin:0;text-transform:uppercase;--fontSize:18;--minFontSize:18;line-height:1;\">Objetivos<\/h4><\/div><div class=\"fusion-text fusion-text-2\"><p class=\"p1\">Aprofundar compet\u00eancias dos estudantes nesta \u00e1rea e que possam contribuir para a Agenda Tem\u00e1tica de Investiga\u00e7\u00e3o e Inova\u00e7\u00e3o para o Espa\u00e7o e Observa\u00e7\u00e3o da Terra e na Estrat\u00e9gia Portugal Espa\u00e7o 2030.<\/p>\n<\/div><div class=\"fusion-title title fusion-title-4 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-text-color:var(--awb-color8);--awb-margin-top:20px;--awb-margin-bottom:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"font-family:&quot;Roboto&quot;;font-style:normal;font-weight:700;margin:0;text-transform:uppercase;--fontSize:18;--minFontSize:18;line-height:1;\">Programa<\/h4><\/div><div class=\"fusion-text fusion-text-3\"><p class=\"p1\">. Compreender os sistemas de coordenadas para descri\u00e7\u00e3o de \u00f3rbitas.<br \/>\n. Estudar o problema dos dois corpos, incluindo condi\u00e7\u00f5es iniciais e fronteira.<br \/>\n. Estudar problemas de muitos corpos.<br \/>\n. Analisar o voo interplanet\u00e1rio.<br \/>\n. Introduzir o estudo das perturba\u00e7\u00f5es das \u00f3rbitas<\/p>\n<\/div><div class=\"fusion-title title fusion-title-5 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-text-color:var(--awb-color8);--awb-margin-top:20px;--awb-margin-bottom:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"font-family:&quot;Roboto&quot;;font-style:normal;font-weight:700;margin:0;text-transform:uppercase;--fontSize:18;--minFontSize:18;line-height:1;\">Destinat\u00e1rios<\/h4><\/div><div class=\"fusion-text fusion-text-4\"><p style=\"font-weight: 400;\">Os candidatos devem ser titulares de uma Licenciatura em \u00e1reas de ci\u00eancias, tecnologias, engenharias, matem\u00e1ticas, que tenham tido forma\u00e7\u00e3o de F\u00edsica e Matem\u00e1tica durante a Licenciatura.<br \/>\nDever\u00e3o tamb\u00e9m ter dom\u00ednio da l\u00edngua inglesa e possuir compet\u00eancias b\u00e1sicas ao n\u00edvel da utiliza\u00e7\u00e3o de um computador.<\/p>\n<h6><\/h6>\n<\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-2 fusion_builder_column_1_2 1_2 fusion-flex-column\" style=\"--awb-padding-top:20px;--awb-padding-right:20px;--awb-padding-bottom:20px;--awb-padding-left:20px;--awb-bg-color:#e9e9e9;--awb-bg-color-hover:#e9e9e9;--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:3.84%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:3.84%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-builder-row fusion-builder-row-inner fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"width:104% !important;max-width:104% !important;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-0 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-padding-top:0px;--awb-padding-right:0px;--awb-padding-bottom:0px;--awb-padding-left:0px;--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:0px;--awb-margin-bottom-large:0px;--awb-spacing-left-large:0px;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div id='classificacao_div' class='fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-3 fusion_builder_column_inner_5_6 5_6 fusion-flex-column' style='--awb-padding-top:10px;--awb-padding-right:10px;--awb-padding-bottom:10px;--awb-padding-left:10px;--awb-bg-color:#009BDD;--awb-bg-color-hover:#009BDD;--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:2.304%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:2.304%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;' data-motion-effects='[{'type':'','scroll_type':'transition','scroll_direction':'up','transition_speed':'1','fade_type':'in','scale_type':'up','initial_scale':'1','max_scale':'1.5','min_scale':'0.5','initial_rotate':'0','end_rotate':'30','initial_blur':'0','end_blur':'3','start_element':'top','start_viewport':'bottom','end_element':'bottom','end_viewport':'top','mouse_effect':'track','mouse_effect_direction':'opposite','mouse_effect_speed':'2','infinite_animation':'float','infinite_animation_speed':'2'}]' data-scroll-devices='small-visibility,medium-visibility,large-visibility'><div class='fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column'><div class='fusion-text fusion-text-5 fusion-text-no-margin' style='--awb-font-size:12px;--awb-text-color:var(--awb-color1);'><p>Classifica\u00e7\u00e3o Nacional de \u00c1reas de Educa\u00e7\u00e3o e Forma\u00e7\u00e3o<br>\n\t<strong>Engenharia Espacial<\/strong><\/p>\n\t<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-1 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-6 fusion-sep-none fusion-title-text fusion-title-size-three\" style=\"--awb-text-color:var(--awb-color8);--awb-margin-bottom:0px;\"><h3 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"font-family:&quot;Roboto&quot;;font-style:normal;font-weight:500;margin:0;text-transform:uppercase;--fontSize:20;--minFontSize:20;line-height:1;\">Informa\u00e7\u00e3o Geral<\/h3><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-2 fusion_builder_column_inner_1_6 1_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:16.666666666667%;--awb-margin-top-large:0px;--awb-spacing-right-large:11.52%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:11.52%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:16.666666666667%;--awb-order-small:0;--awb-spacing-right-small:11.52%;--awb-spacing-left-small:11.52%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"text-align:right;--awb-max-width:45px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-1 hover-type-none\"><img decoding=\"async\" width=\"119\" height=\"98\" title=\"icon_horas\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27119%27%20height%3D%2798%27%20viewBox%3D%270%200%20119%2098%27%3E%3Crect%20width%3D%27119%27%20height%3D%2798%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/icon_horas.png\" alt class=\"lazyload img-responsive wp-image-5036\"\/><\/span><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-3 fusion_builder_column_inner_5_6 5_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:83.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:2.304%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:2.304%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:83.333333333333%;--awb-order-small:0;--awb-spacing-right-small:2.304%;--awb-spacing-left-small:2.304%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-5\"><p>10,5 horas de contacto<\/p>\n<\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-4 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;margin-top:0px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:var(--awb-custom13);border-color:var(--awb-custom13);border-top-width:1px;\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-5 fusion_builder_column_inner_1_6 1_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:16.666666666667%;--awb-margin-top-large:0px;--awb-spacing-right-large:11.52%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:11.52%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:16.666666666667%;--awb-order-small:0;--awb-spacing-right-small:11.52%;--awb-spacing-left-small:11.52%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"text-align:right;--awb-max-width:45px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-2 hover-type-none\"><img decoding=\"async\" width=\"119\" height=\"98\" title=\"icon_calendario\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27119%27%20height%3D%2798%27%20viewBox%3D%270%200%20119%2098%27%3E%3Crect%20width%3D%27119%27%20height%3D%2798%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/icon_calendario.png\" alt class=\"lazyload img-responsive wp-image-5037\"\/><\/span><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-6 fusion_builder_column_inner_5_6 5_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:83.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:2.304%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:2.304%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:83.333333333333%;--awb-order-small:0;--awb-spacing-right-small:2.304%;--awb-spacing-left-small:2.304%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-6\"><p>Datas a definir<\/p>\n<\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-7 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;margin-top:0px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:var(--awb-custom13);border-color:var(--awb-custom13);border-top-width:1px;\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-8 fusion_builder_column_inner_1_6 1_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:16.666666666667%;--awb-margin-top-large:0px;--awb-spacing-right-large:11.52%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:11.52%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:16.666666666667%;--awb-order-small:0;--awb-spacing-right-small:11.52%;--awb-spacing-left-small:11.52%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"text-align:right;--awb-max-width:45px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-3 hover-type-none\"><img decoding=\"async\" width=\"119\" height=\"98\" title=\"icon_blearning\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27119%27%20height%3D%2798%27%20viewBox%3D%270%200%20119%2098%27%3E%3Crect%20width%3D%27119%27%20height%3D%2798%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/icon_blearning.png\" alt class=\"lazyload img-responsive wp-image-5038\"\/><\/span><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-9 fusion_builder_column_inner_5_6 5_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:83.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:2.304%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:2.304%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:83.333333333333%;--awb-order-small:0;--awb-spacing-right-small:2.304%;--awb-spacing-left-small:2.304%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-7\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-10 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;margin-top:0px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:var(--awb-custom13);border-color:var(--awb-custom13);border-top-width:1px;\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-11 fusion_builder_column_inner_1_6 1_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:16.666666666667%;--awb-margin-top-large:0px;--awb-spacing-right-large:11.52%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:11.52%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:16.666666666667%;--awb-order-small:0;--awb-spacing-right-small:11.52%;--awb-spacing-left-small:11.52%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"text-align:right;--awb-max-width:45px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-4 hover-type-none\"><img decoding=\"async\" width=\"119\" height=\"98\" title=\"icon_ects\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27119%27%20height%3D%2798%27%20viewBox%3D%270%200%20119%2098%27%3E%3Crect%20width%3D%27119%27%20height%3D%2798%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/icon_ects.png\" alt class=\"lazyload img-responsive wp-image-5039\"\/><\/span><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-12 fusion_builder_column_inner_5_6 5_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:83.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:2.304%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:2.304%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:83.333333333333%;--awb-order-small:0;--awb-spacing-right-small:2.304%;--awb-spacing-left-small:2.304%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-8\"><p>1.5ECTS<\/p>\n<\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-13 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;margin-top:0px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:var(--awb-custom13);border-color:var(--awb-custom13);border-top-width:1px;\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-14 fusion_builder_column_inner_1_6 1_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:16.666666666667%;--awb-margin-top-large:0px;--awb-spacing-right-large:11.52%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:11.52%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:16.666666666667%;--awb-order-small:0;--awb-spacing-right-small:11.52%;--awb-spacing-left-small:11.52%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"text-align:right;--awb-max-width:45px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-5 hover-type-none\"><img decoding=\"async\" width=\"119\" height=\"98\" title=\"icon_propinas\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27119%27%20height%3D%2798%27%20viewBox%3D%270%200%20119%2098%27%3E%3Crect%20width%3D%27119%27%20height%3D%2798%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/icon_propinas.png\" alt class=\"lazyload img-responsive wp-image-5040\"\/><\/span><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-15 fusion_builder_column_inner_5_6 5_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:83.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:2.304%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:2.304%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:83.333333333333%;--awb-order-small:0;--awb-spacing-right-small:2.304%;--awb-spacing-left-small:2.304%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-9\"><p>Gratu\u00edto<\/p>\n<\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-16 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;margin-top:0px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:var(--awb-custom13);border-color:var(--awb-custom13);border-top-width:1px;\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-17 fusion_builder_column_inner_1_6 1_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:16.666666666667%;--awb-margin-top-large:0px;--awb-spacing-right-large:11.52%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:11.52%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:16.666666666667%;--awb-order-small:0;--awb-spacing-right-small:11.52%;--awb-spacing-left-small:11.52%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"text-align:right;--awb-max-width:45px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-6 hover-type-none\"><img decoding=\"async\" width=\"119\" height=\"98\" title=\"icon_lingua\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27119%27%20height%3D%2798%27%20viewBox%3D%270%200%20119%2098%27%3E%3Crect%20width%3D%27119%27%20height%3D%2798%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/icon_lingua.png\" alt class=\"lazyload img-responsive wp-image-5041\"\/><\/span><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-18 fusion_builder_column_inner_5_6 5_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:83.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:2.304%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:2.304%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:83.333333333333%;--awb-order-small:0;--awb-spacing-right-small:2.304%;--awb-spacing-left-small:2.304%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-10\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-19 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;margin-top:0px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:var(--awb-custom13);border-color:var(--awb-custom13);border-top-width:1px;\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-20 fusion_builder_column_inner_1_6 1_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:16.666666666667%;--awb-margin-top-large:0px;--awb-spacing-right-large:11.52%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:11.52%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:16.666666666667%;--awb-order-small:0;--awb-spacing-right-small:11.52%;--awb-spacing-left-small:11.52%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"text-align:right;--awb-max-width:45px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-7 hover-type-none\"><img decoding=\"async\" width=\"119\" height=\"98\" title=\"icon_vagas\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27119%27%20height%3D%2798%27%20viewBox%3D%270%200%20119%2098%27%3E%3Crect%20width%3D%27119%27%20height%3D%2798%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/icon_vagas.png\" alt class=\"lazyload img-responsive wp-image-5042\"\/><\/span><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-21 fusion_builder_column_inner_5_6 5_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:83.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:2.304%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:2.304%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:83.333333333333%;--awb-order-small:0;--awb-spacing-right-small:2.304%;--awb-spacing-left-small:2.304%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-11\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-22 fusion_builder_column_inner_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;margin-top:0px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:var(--awb-custom13);border-color:var(--awb-custom13);border-top-width:1px;\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-23 fusion_builder_column_inner_1_6 1_6 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:16.666666666667%;--awb-margin-top-large:0px;--awb-spacing-right-large:11.52%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:11.52%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:16.666666666667%;--awb-order-small:0;--awb-spacing-right-small:11.52%;--awb-spacing-left-small:11.52%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"text-align:right;--awb-max-width:35px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-8 hover-type-none\"><a class=\"fusion-no-lightbox\" href=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/Introducao-a-Astrodinamica.pdf\" target=\"_blank\" aria-label=\"icon_pdf\" rel=\"noopener noreferrer\"><img decoding=\"async\" width=\"70\" height=\"98\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%2770%27%20height%3D%2798%27%20viewBox%3D%270%200%2070%2098%27%3E%3Crect%20width%3D%2770%27%20height%3D%2798%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/09\/icon_pdf.png\" alt class=\"lazyload img-responsive wp-image-5272\"\/><\/a><\/span><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-24 fusion_builder_column_inner_5_6 5_6 fusion-flex-column fusion-column-inner-bg-wrapper\" style=\"--awb-inner-bg-size:cover;--awb-width-large:83.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:2.304%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:2.304%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:83.333333333333%;--awb-order-small:0;--awb-spacing-right-small:2.304%;--awb-spacing-left-small:2.304%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><span class=\"fusion-column-inner-bg hover-type-none\"><a class=\"fusion-column-anchor\" href=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/Introducao-a-Astrodinamica.pdf\"><span class=\"fusion-column-inner-bg-image\"><\/span><\/a><\/span><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-12\"><p>Brochura do curso<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-3 fusion-flex-container has-pattern-background has-mask-background hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:0px;--awb-padding-right:0px;--awb-padding-bottom:0px;--awb-padding-left:0px;--awb-padding-top-small:0px;--awb-padding-right-small:0px;--awb-padding-bottom-small:0px;--awb-padding-left-small:0px;--awb-margin-bottom:0px;--awb-margin-bottom-small:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"width:104% !important;max-width:104% !important;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><\/div><\/div>\n<div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-4 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-margin-top:0px;--awb-margin-bottom:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-3 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-padding-bottom:0px;--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-7 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-text-color:var(--awb-color7);--awb-margin-bottom:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:18;--minFontSize:18;line-height:1;\">Parceria com:<\/h4><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-4 fusion_builder_column_1_6 1_6 fusion-flex-column\" style=\"--awb-padding-top:0px;--awb-bg-size:cover;--awb-width-large:16.666666666667%;--awb-margin-top-large:0px;--awb-spacing-right-large:11.52%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:11.52%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-margin-top:0px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-9 hover-type-none\"><img decoding=\"async\" width=\"500\" height=\"500\" title=\"Synopsis Planet\" src=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/Synopsis-Planet.jpg\" data-orig-src=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/Synopsis-Planet.jpg\" alt class=\"lazyload img-responsive wp-image-6377\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27500%27%20height%3D%27500%27%20viewBox%3D%270%200%20500%20500%27%3E%3Crect%20width%3D%27500%27%20height%3D%27500%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/Synopsis-Planet-200x200.jpg 200w, https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/Synopsis-Planet-400x400.jpg 400w, https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/Synopsis-Planet.jpg 500w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 1024px) 100vw, (max-width: 640px) 100vw, 200px\" \/><\/span><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-5 fusion_builder_column_1_6 1_6 fusion-flex-column\" style=\"--awb-padding-top:0px;--awb-bg-size:cover;--awb-width-large:16.666666666667%;--awb-margin-top-large:0px;--awb-spacing-right-large:11.52%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:11.52%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-margin-top:0px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-10 hover-type-none\"><img decoding=\"async\" width=\"500\" height=\"500\" title=\"GMVIS\" src=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/GMVIS.jpg\" data-orig-src=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/GMVIS.jpg\" alt class=\"lazyload img-responsive wp-image-6380\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27500%27%20height%3D%27500%27%20viewBox%3D%270%200%20500%20500%27%3E%3Crect%20width%3D%27500%27%20height%3D%27500%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/GMVIS-200x200.jpg 200w, https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/GMVIS-400x400.jpg 400w, https:\/\/fe.up.pt\/cursosprr\/wp-content\/uploads\/2023\/08\/GMVIS.jpg 500w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 1024px) 100vw, (max-width: 640px) 100vw, 200px\" \/><\/span><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-5 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:0px;--awb-padding-right:0px;--awb-padding-bottom:0px;--awb-padding-left:0px;--awb-margin-top:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-6 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-padding-right:0px;--awb-padding-left:0px;--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:0px;--awb-margin-bottom-large:20px;--awb-spacing-left-large:0px;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-sharing-box fusion-sharing-box-1 has-taglines layout-floated layout-medium-floated layout-small-stacked\" style=\"background-color:var(--awb-color1);border-color:#cccccc;--awb-wrapper-padding-right:0px;--awb-wrapper-padding-left:0px;--awb-separator-border-color:#cccccc;--awb-separator-border-sizes:0px;--awb-layout:row;--awb-alignment-small:space-between;--awb-stacked-align-small:center;\" data-title=\"Introdu\u00e7\u00e3o \u00e0 Astrodin\u00e2mica\" data-description=\"Your Content Goes Here  \r\n\r\nResumo \r\nA astrodin\u00e2mica, tamb\u00e9m designada de mec\u00e2nica orbital e mec\u00e2nica celeste, teve um papel crucial no desenvolvimento da mec\u00e2nica cl\u00e1ssica e hoje em dia \u00e9 muito importante no planeamento de miss\u00f5es espaciais e lan\u00e7amento de sat\u00e9lites. A diminui\u00e7\u00e3o do custo de lan\u00e7amento de sat\u00e9lites de pequenas dimens\u00f5es\" data-link=\"https:\/\/fe.up.pt\/cursosprr\/curso\/introducao_astrodinamica\/\"><h4 class=\"tagline\" style=\"color:#333333;\">Partilhe este cursos nas suas redes sociais!<\/h4><div class=\"fusion-social-networks sharingbox-shortcode-icon-wrapper sharingbox-shortcode-icon-wrapper-1\"><span><a href=\"https:\/\/www.facebook.com\/sharer.php?u=https%3A%2F%2Ffe.up.pt%2Fcursosprr%2Fcurso%2Fintroducao_astrodinamica%2F&amp;t=Introdu%C3%A7%C3%A3o%20%C3%A0%20Astrodin%C3%A2mica\" target=\"_blank\" rel=\"noreferrer\" title=\"Facebook\" aria-label=\"Facebook\" data-placement=\"top\" data-toggle=\"tooltip\" data-title=\"Facebook\"><i class=\"fusion-social-network-icon fusion-tooltip fusion-facebook awb-icon-facebook\" style=\"color:#bebdbd;\" aria-hidden=\"true\"><\/i><\/a><\/span><span><a 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aria-hidden=\"true\"><\/i><\/a><\/span><\/div><\/div><\/div><\/div><\/div><\/div>\n<\/p>\n","protected":false},"featured_media":5161,"parent":0,"menu_order":0,"template":"","class_list":["post-5022","curso","type-curso","status-publish","has-post-thumbnail","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/fe.up.pt\/cursosprr\/wp-json\/wp\/v2\/curso\/5022","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fe.up.pt\/cursosprr\/wp-json\/wp\/v2\/curso"}],"about":[{"href":"https:\/\/fe.up.pt\/cursosprr\/wp-json\/wp\/v2\/types\/curso"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/fe.up.pt\/cursosprr\/wp-json\/wp\/v2\/media\/5161"}],"wp:attachment":[{"href":"https:\/\/fe.up.pt\/cursosprr\/wp-json\/wp\/v2\/media?parent=5022"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}