{"id":1924,"date":"2020-07-08T14:25:39","date_gmt":"2020-07-08T18:25:39","guid":{"rendered":"https:\/\/jeremyclark.ca\/wp\/?p=1924"},"modified":"2026-01-10T10:35:28","modified_gmt":"2026-01-10T15:35:28","slug":"celestial-navigation-basics-ha-apparent-altitude","status":"publish","type":"post","link":"https:\/\/jeremyclark.ca\/wp\/nav\/celestial-navigation-basics-ha-apparent-altitude\/","title":{"rendered":"Celestial Navigation Basics &#8211; Ha Apparent Altitude"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">In this post we will look at how to reduce a sextant altitude Hs to an apparent altitude Ha. In the following post, we will look at how to reduce Ha to Ho. Ho will then be compared with Hc to determine an intercept.  The complete details are contained in <a href=\"https:\/\/www.clarktelecommunications.com\/celnav.htm\">Ref.1<\/a>. Complete Sight Reduction procedures are contained in the Nautical Almanac <a href=\"https:\/\/www.paracay.com\/nautical-almanac\/\">Ref.2<\/a> starting page 277, and the NAO form on page 319. <br><br>Hs = Sextant Altitude<br><br>Ha = Apparent Altitude<br><br>Ho = Observed Altitude<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Fig.1 shows the result of our sextant altitudes taken on Monday July 6th_2020 at Trillium Park (<a href=\"https:\/\/jeremyclark.ca\/wp\/nav\/celestial-navigation-basics-hs-sextant-altitude\/\">Ref.3)<\/a>:<br><br>Lat = 43deg 37&#8242; 46.2&#8243; North<br>Long = 79deg 24&#8242; 34.2&#8243; West<br>Height of Eye = 3.0m<br>Index Error = 59min = 1min on_limb<br><br>Hs average = 63deg 32.25min at 12:06DST\/16:06UTC<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Time DST<\/td><td>Time UTC<\/td><td>Hs deg min<\/td><\/tr><tr><td>12:03<\/td><td>16:03<\/td><td>63deg 10min<\/td><\/tr><tr><td>12:05<\/td><td>16:05<\/td><td>63deg 25min<\/td><\/tr><tr><td>12:07<\/td><td>16:07<\/td><td>63deg 38min<\/td><\/tr><tr><td>12:09<\/td><td>16:09<\/td><td>63deg 56min<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">Fig.1 Sextant Altitudes    Average = 12:06\/16:06  63deg 32.25min<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Fig.2 shows a ScicosLab routine used to calculate the dip angle based on geometry and also using the Nautical Almanac formula on p.280. The dip = 3.0 min for a height of eye = 3.0m. Fig.3 shows a spreadsheet used to calculate Ha from Hs. <br><br>Ha = Hs +\/-SextantError +\/-IndexError &#8211; Dip = 63deg 28.25min <\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"769\" height=\"530\" src=\"https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2020\/07\/dip-1.jpg\" alt=\"\" class=\"wp-image-1939\" srcset=\"https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2020\/07\/dip-1.jpg 769w, https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2020\/07\/dip-1-300x207.jpg 300w\" sizes=\"auto, (max-width: 769px) 100vw, 769px\" \/><figcaption class=\"wp-element-caption\">Fig.2 Dip Calculation<\/figcaption><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"567\" src=\"https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2020\/07\/ha-1-1024x567.jpg\" alt=\"\" class=\"wp-image-1940\" srcset=\"https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2020\/07\/ha-1-1024x567.jpg 1024w, https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2020\/07\/ha-1-300x166.jpg 300w, https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2020\/07\/ha-1-768x426.jpg 768w, https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2020\/07\/ha-1-1200x665.jpg 1200w, https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2020\/07\/ha-1.jpg 1301w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Fig.3 Ha Calculation<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Fig.4 is a short mp4 that explains the reduction of Hs to Ha. <\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube aligncenter wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Celestial Navigation Basics - Ha Apparent Altitude\" width=\"750\" height=\"422\" src=\"https:\/\/www.youtube.com\/embed\/eeS3olVEWkY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">Fig.4 YouTube Video &#8220;Celestial Navigation Basics &#8211; Ha Apparent Altitude&#8221;<\/figcaption><\/figure>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/jeremyclark.ca\/wp\/blog-topics\/\"><img loading=\"lazy\" decoding=\"async\" width=\"933\" height=\"374\" src=\"https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2025\/10\/celnav.jpg\" alt=\"\" class=\"wp-image-12361\" style=\"aspect-ratio:2.494717511353138;width:475px;height:auto\" srcset=\"https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2025\/10\/celnav.jpg 933w, https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2025\/10\/celnav-300x120.jpg 300w, https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2025\/10\/celnav-768x308.jpg 768w\" sizes=\"auto, (max-width: 933px) 100vw, 933px\" \/><\/a><figcaption class=\"wp-element-caption\">Celestial Navigation Blog Topics<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Celestial Navigation Basics &amp; Equipment Ebk:<br><a href=\"https:\/\/www.clarktelecommunications.com\/celnav.htm\">https:\/\/www.clarktelecommunications.com\/celnav.htm<\/a><br><br>Please send your comments, questions and suggestions to:<br><a href=\"https:\/\/jeremyclark.ca\/wp\/contact\">contact:<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">References<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">#1. \u201cCelestial Navigation Basics &amp; Equipment\u201d, Clark Telecommunications, 2019, ISBN 9780988049086<br><a href=\"https:\/\/www.clarktelecommunications.com\/celnav.htm\">https:\/\/www.clarktelecommunications.com\/celnav.htm<\/a><br><br>#2. \u2013 \u201cNautical Almanac 2020 Commercial Edition\u201d, Paradise Cay Publications, ISBN 9781951116033<br><a href=\"https:\/\/www.paracay.com\/nautical-almanac\/\">https:\/\/www.paracay.com\/nautical-almanac\/<\/a><br><br><a href=\"https:\/\/jeremyclark.ca\/wp\/nav\/celestial-navigation-basics-hs-sextant-altitude\/\">#3. &#8211; &#8220;Celestial Navigation Basics &#8211; Hs Sextant Altitude&#8221;<\/a><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.youtube.com\/user\/clarktelecom\"><img loading=\"lazy\" decoding=\"async\" width=\"93\" height=\"98\" src=\"https:\/\/jeremyclark.ca\/wp\/wp-content\/uploads\/2020\/01\/youtube.jpg\" alt=\"YouTube Channel\" class=\"wp-image-687\"\/><\/a><figcaption class=\"wp-element-caption\"><a href=\"https:\/\/www.youtube.com\/user\/clarktelecom\">YouTube Channel<\/a><\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>In this post we will look at how to reduce a sextant altitude Hs to an apparent altitude Ha. In the following post, we will look at how to reduce Ha to Ho. Ho will then be compared with Hc to determine an intercept. The complete details are contained in Ref.1. Complete Sight Reduction procedures&hellip; <a class=\"more-link\" href=\"https:\/\/jeremyclark.ca\/wp\/nav\/celestial-navigation-basics-ha-apparent-altitude\/\">Continue reading <span class=\"screen-reader-text\">Celestial Navigation Basics &#8211; Ha Apparent Altitude<\/span><\/a><\/p>\n","protected":false},"author":3,"featured_media":1930,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-1924","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-nav","entry"],"_links":{"self":[{"href":"https:\/\/jeremyclark.ca\/wp\/wp-json\/wp\/v2\/posts\/1924","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jeremyclark.ca\/wp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/jeremyclark.ca\/wp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/jeremyclark.ca\/wp\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/jeremyclark.ca\/wp\/wp-json\/wp\/v2\/comments?post=1924"}],"version-history":[{"count":15,"href":"https:\/\/jeremyclark.ca\/wp\/wp-json\/wp\/v2\/posts\/1924\/revisions"}],"predecessor-version":[{"id":12847,"href":"https:\/\/jeremyclark.ca\/wp\/wp-json\/wp\/v2\/posts\/1924\/revisions\/12847"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/jeremyclark.ca\/wp\/wp-json\/wp\/v2\/media\/1930"}],"wp:attachment":[{"href":"https:\/\/jeremyclark.ca\/wp\/wp-json\/wp\/v2\/media?parent=1924"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jeremyclark.ca\/wp\/wp-json\/wp\/v2\/categories?post=1924"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jeremyclark.ca\/wp\/wp-json\/wp\/v2\/tags?post=1924"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}