{"id":391,"date":"2018-06-18T17:28:29","date_gmt":"2018-06-18T17:28:29","guid":{"rendered":"http:\/\/jonvoisey.net\/blog\/?p=391"},"modified":"2018-06-18T17:29:12","modified_gmt":"2018-06-18T17:29:12","slug":"instrumentation-ptolemys-solar-angle-dial","status":"publish","type":"post","link":"https:\/\/jonvoisey.net\/blog\/2018\/06\/instrumentation-ptolemys-solar-angle-dial\/","title":{"rendered":"Instrumentation &#8211; Ptolemy&#8217;s Solar Angle Dial"},"content":{"rendered":"<p>Since the solstice is only a few weeks away, I decided it might be fun to make Ptolemy&#8217;s solar angle dial we recently saw.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/PtolemyEquatorEclipticTool1.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-373\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/PtolemyEquatorEclipticTool1.jpg?resize=236%2C300&#038;ssl=1\" alt=\"\" width=\"236\" height=\"300\" srcset=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/PtolemyEquatorEclipticTool1.jpg?resize=236%2C300&amp;ssl=1 236w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/PtolemyEquatorEclipticTool1.jpg?resize=768%2C975&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/PtolemyEquatorEclipticTool1.jpg?resize=807%2C1024&amp;ssl=1 807w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/PtolemyEquatorEclipticTool1.jpg?w=1050&amp;ssl=1 1050w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/PtolemyEquatorEclipticTool1.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 236px) 100vw, 236px\" \/><\/a><!--more--><\/p>\n<p>Initially, I looked into getting a sheet or brass or copper to make this from, but getting one that was reasonably thick (at least $\\frac{1}{8}$&#8221;) was prohibitively expensive. So my next idea was to shoot for some MDF. However, I then remembered I had some quarter inch polystyrene sitting in my basement. It&#8217;s not period, but it&#8217;s relatively easy to work with.<\/p>\n<p>I had about a 12&#8243; square, so I popped a screw in the center of it going into a board, tied a string around it, and put a pen at where I wanted it and spun the styrene beneath it (much easier than trying to spin the string). I repeated this with a smaller circle for the inner ring and cut both out carefully with a razor knife.<\/p>\n<p>The cut wasn&#8217;t perfect so I sanded the edge of the inner disc and the inside edge of the outer ring until it spun freely.<\/p>\n<p>Next up came time to put the scale on the outer ring. I took a digital T-bevel and reversed the screw in it so that it went into the board<span id='easy-footnote-1-391' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/jonvoisey.net\/blog\/2018\/06\/instrumentation-ptolemys-solar-angle-dial\/#easy-footnote-bottom-1-391' title='The center disc is orange here because this was recycled from another project that had an orange paper adhered to it. I had to remove the paper and clean it with Goo-Gone which I didn&amp;#8217;t bother showing'><sup>1<\/sup><\/a><\/span>. I taped the central disc back in place and worked around the edge of the ring 180\u00ba in 1\u00ba intervals (no need to go the full 360\u00ba since I don&#8217;t plan on measuring anything beneath the horizon).<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2442.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-392\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2442.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\/IMAG2442.jpg?resize=300%2C225&amp;ssl=1 300w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2442.jpg?resize=768%2C576&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2442.jpg?resize=1024%2C768&amp;ssl=1 1024w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2442.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>With that complete, I removed the center wheel and, with a dremmel disc, cut the divisions with each 45\u00ba going all the way across. In addition I used a dremmel engraving tip to mark the 45\u00ba marks.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2443.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-393\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2443.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\/IMAG2443.jpg?resize=225%2C300&amp;ssl=1 225w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2443.jpg?resize=768%2C1024&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2443.jpg?w=1050&amp;ssl=1 1050w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2443.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><\/p>\n<p>Since Ptolemy recommended the piece be made from brass, I gave it a coat of metallic brass spray paint.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2446.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-395\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2446.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\/IMAG2446.jpg?resize=225%2C300&amp;ssl=1 225w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2446.jpg?resize=768%2C1024&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2446.jpg?w=1050&amp;ssl=1 1050w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2446.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><\/p>\n<p>At this point, I was out of the styrene and I needed a back board for the central disk to keep it from slipping through. So I picked up a small sheet of lexan and used that.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2462.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-436\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2462.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\/IMAG2462.jpg?resize=300%2C225&amp;ssl=1 300w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2462.jpg?resize=768%2C576&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2462.jpg?resize=1024%2C768&amp;ssl=1 1024w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2462.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>This was then set in the outer ring and the pointer and shadow marker applied.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2465.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-437\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2465.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\/IMAG2465.jpg?resize=225%2C300&amp;ssl=1 225w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2465.jpg?resize=768%2C1024&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2465.jpg?w=1050&amp;ssl=1 1050w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2465.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><\/p>\n<p>This was all painted. To help ensure the dial was aligned vertically, I added a washer on some thread to act as a plumb.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2475.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-476\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2475.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\/IMAG2475.jpg?resize=225%2C300&amp;ssl=1 225w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2475.jpg?resize=768%2C1024&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2475.jpg?w=1050&amp;ssl=1 1050w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2475.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><\/p>\n<p>I&#8217;d noted in my original post on this that getting it perfectly level wasn&#8217;t terribly important, but this was for one that was permanently mounted. Since this one will obviously be set up and taken down, ensuring it&#8217;s level each time <em>is<\/em> important.<\/p>\n<p>At this point, the instrument is essentially finished. I&#8217;ll still need to mount it, but for now, a test drive. I took it out and simply holding the instrument, I held it to level and rotated the central disc and sure enough, you can clearly see the shadow of the pointer hand on the other piece. (Sorry it&#8217;s out of focus. Getting it aimed, level, and taking a picture at the same time was quite hard.)<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2479.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-477\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2479.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\/IMAG2479.jpg?resize=225%2C300&amp;ssl=1 225w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2479.jpg?resize=768%2C1024&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2479.jpg?w=1050&amp;ssl=1 1050w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2479.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><\/p>\n<p>You can&#8217;t see where it&#8217;s aimed from this picture, but this was the result:<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2482.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-478\" src=\"https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2482.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\/IMAG2482.jpg?resize=225%2C300&amp;ssl=1 225w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2482.jpg?resize=768%2C1024&amp;ssl=1 768w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2482.jpg?w=1050&amp;ssl=1 1050w, https:\/\/i0.wp.com\/jonvoisey.net\/blog\/wp-content\/uploads\/2018\/06\/IMAG2482.jpg?w=1575&amp;ssl=1 1575w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><\/p>\n<p>It&#8217;s between 70\u00ba-71\u00ba. Pulling up the image data, it was taken at 12:13pm today (June 18, 2018). Checking the altitude of the sun in Stellarium at that time for here in St. Louis, the correct altitude was 71.6\u00ba, so I was off by about 1\u00ba. This can easily be attributed to not having the piece mounted and level. The plumb was swaying rather considerably from my motion, but overall, I&#8217;d call this a pretty good success thus far.<\/p>\n<p>Since the solstice comes up in 3 days, I have till then to get it mounted!<\/p>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"<p>Since the solstice is only a few weeks away, I decided it might be fun to make Ptolemy&#8217;s solar angle dial we recently saw.<\/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":[21],"tags":[14],"class_list":["post-391","post","type-post","status-publish","format-standard","hentry","category-instrumentation","tag-ptolemy"],"acf":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p9ZpvC-6j","_links":{"self":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/391","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=391"}],"version-history":[{"count":4,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/391\/revisions"}],"predecessor-version":[{"id":480,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/391\/revisions\/480"}],"wp:attachment":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/media?parent=391"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/categories?post=391"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/tags?post=391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}