{"id":508,"date":"2018-06-21T18:29:44","date_gmt":"2018-06-21T18:29:44","guid":{"rendered":"http:\/\/jonvoisey.net\/blog\/?p=508"},"modified":"2018-06-21T18:29:44","modified_gmt":"2018-06-21T18:29:44","slug":"data-summer-solstice-solar-altitude","status":"publish","type":"post","link":"https:\/\/jonvoisey.net\/blog\/2018\/06\/data-summer-solstice-solar-altitude\/","title":{"rendered":"Data: Summer Solstice Solar Altitude"},"content":{"rendered":"<p>Happy Summer Solstice everyone!<\/p>\n<p>Since one of the things Ptolemy was concerned with was the angle between the ecliptic and celestial equator, I <a href=\"https:\/\/jonvoisey.net\/blog\/index.php\/2018\/06\/18\/instrumentation-ptolemys-solar-angle-dial\/\">built a solar angle dial<\/a> to help determine this. Given that the measurements needed to be taken on the solstices (or a solstice and equinox), I set up the instrument today to take the measurement.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2514.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-514\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2514.jpg?resize=225%2C300&#038;ssl=1\" alt=\"\" width=\"225\" height=\"300\" srcset=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2514.jpg?resize=225%2C300&amp;ssl=1 225w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2514.jpg?resize=768%2C1024&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2514.jpg?w=1050&amp;ssl=1 1050w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2514.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><!--more--><\/p>\n<p>Let&#8217;s back up a bit before getting right into it.<\/p>\n<p>The first step was to ensure that the dial was aligned along the meridian. I&#8217;ve discussed before how the north star is useful for doing this, but since this tool doesn&#8217;t have a good sighting mechanism without using shadows, that wasn&#8217;t going to be my best bet. Plus it was cloudy last night and this isn&#8217;t something I want to leave set up terribly long.<\/p>\n<p>So I used the <a href=\"https:\/\/www.thoughtco.com\/shadow-stick-to-determine-direction-3157495\">shadow method<\/a>. This involves setting a stick in the ground and marking the tip of the shadow over a period of time.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2511.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-511\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2511.jpg?resize=300%2C225&#038;ssl=1\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2511.jpg?resize=300%2C225&amp;ssl=1 300w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2511.jpg?resize=768%2C576&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2511.jpg?resize=1024%2C768&amp;ssl=1 1024w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2511.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Here you can see two buttons I left, marking the tip of the shadow at two different times separated by about half an hour. Connecting those two lines should be the east-west line. However, this method is somewhat imprecise since the sun&#8217;s path is an arc. Similarly, the path traced will be an arc as well, so depending on exactly where the points are taken, the path can be skewed.<\/p>\n<p>To illustrate this, I replaced the buttons with chalk marks and drew the lines connecting the initial one to the later ones.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2526.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-517\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2526.jpg?resize=225%2C300&#038;ssl=1\" alt=\"\" width=\"225\" height=\"300\" srcset=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2526.jpg?resize=225%2C300&amp;ssl=1 225w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2526.jpg?resize=768%2C1024&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2526.jpg?w=1050&amp;ssl=1 1050w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2526.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><\/p>\n<p>As you can see, the lines are very close, but slightly different.<\/p>\n<p>Regardless, it was close enough for me to get a good baseline. I&#8217;d also looked up exactly when the sun should be on the meridian in Stellarium (1:03pm locally) so if the shadows of the pointers didn&#8217;t line up, I could twist my post slightly as necessary.<\/p>\n<p>However, minor tragedy struck. I&#8217;d screwed the dial into a wood post, but when hammering the post into the ground, the force cracked the dial.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2513.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-513\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2513.jpg?resize=225%2C300&#038;ssl=1\" alt=\"\" width=\"225\" height=\"300\" srcset=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2513.jpg?resize=225%2C300&amp;ssl=1 225w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2513.jpg?resize=768%2C1024&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2513.jpg?w=1050&amp;ssl=1 1050w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2513.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><\/p>\n<p>But a little bit of duct tape and it was at least stable enough to use.<\/p>\n<p>Worse, about 40 minutes before the sun was on the meridian, heavy clouds started rolling in with drizzle.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2512.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-512\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2512.jpg?resize=300%2C225&#038;ssl=1\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2512.jpg?resize=300%2C225&amp;ssl=1 300w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2512.jpg?resize=768%2C576&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2512.jpg?resize=1024%2C768&amp;ssl=1 1024w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2512.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>There was nothing to do except hope that they&#8217;d pass quickly.<\/p>\n<p>Fortunately, they did and it was a clear blue sky come 12:50. As the time got closer, there was a bit of wind as well which made keeping the dial vertical more challenging as the dial wanted to catch the wind and tilt slightly. However, by holding it in place, I could fix this as well as ensure that the horizontal was level as well via the plumb.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2524.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-515\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2524.jpg?resize=225%2C300&#038;ssl=1\" alt=\"\" width=\"225\" height=\"300\" srcset=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2524.jpg?resize=225%2C300&amp;ssl=1 225w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2524.jpg?resize=768%2C1024&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2524.jpg?w=1050&amp;ssl=1 1050w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2524.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><\/p>\n<p>You can see that the shadow of the upper pointer is falling precisely on the lower one as the corners are still in the sunlight. This meant it was aligned.<\/p>\n<p>So how did the measurement turn out?<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2525.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-516\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2525.jpg?resize=300%2C225&#038;ssl=1\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2525.jpg?resize=300%2C225&amp;ssl=1 300w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2525.jpg?resize=768%2C576&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2525.jpg?resize=1024%2C768&amp;ssl=1 1024w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2525.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>It read <em>just<\/em> under 75\u00ba.<\/p>\n<p>Popping back to Stellarium, the true value was 74\u00ba50&#8217;39.7&#8243;.<\/p>\n<p>Can&#8217;t ask for much better!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Happy Summer Solstice everyone! Since one of the things Ptolemy was concerned with was the angle between the ecliptic and celestial equator, I built a solar angle dial to help determine this. Given that the measurements needed to be taken on the solstices (or a solstice and equinox), I set up the instrument today to &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/jonvoisey.net\/blog\/2018\/06\/data-summer-solstice-solar-altitude\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Data: Summer Solstice Solar Altitude&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[33],"tags":[36,35,14,34,18],"class_list":["post-508","post","type-post","status-publish","format-standard","hentry","category-data","tag-celestial-equator","tag-ecliptic","tag-ptolemy","tag-solstice","tag-sun"],"acf":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p9ZpvC-8c","_links":{"self":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/508","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/comments?post=508"}],"version-history":[{"count":1,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/508\/revisions"}],"predecessor-version":[{"id":518,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/508\/revisions\/518"}],"wp:attachment":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/media?parent=508"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/categories?post=508"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/tags?post=508"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}