{"id":14221,"date":"2025-06-03T16:16:44","date_gmt":"2025-06-03T10:46:44","guid":{"rendered":"https:\/\/ibexaviation.com\/pilot-training\/?p=14221"},"modified":"2026-07-26T10:12:36","modified_gmt":"2026-07-26T04:42:36","slug":"convergency-and-conversion-angle","status":"publish","type":"post","link":"https:\/\/ibexaviation.com\/pilot-training\/convergency-and-conversion-angle\/","title":{"rendered":"Convergence and Conversion Angle"},"content":{"rendered":"<p> <img decoding=\"async\" src=\"https:\/\/ibexaviation.com\/page-show\/general-navigation\/g10-earth-convergence-and-conversion-angle-1.jpg\" alt=\"\" loading=\"lazy\"\/><\/p>\n<h2>Convergence and Conversion Angle<\/h2>\n<p>Convergence is the angle between two meridians of longitude as they move closer together toward the poles. It affects the difference between true north directions at different positions on Earth. Conversion angle is used to calculate Great circle and Rhumb line directions.<\/p>\n<h3>Convergency or Earth Convergence<\/h3>\n<p> <img decoding=\"async\" src=\"https:\/\/ibexaviation.com\/page-show\/general-navigation\/g10-earth-convergence-and-conversion-angle-2.jpg\" alt=\"\" loading=\"lazy\"\/><\/p>\n<ul>\n<li>Meridians converge toward the poles and diverge toward the Equator.<\/li>\n<li>At the Equator, meridians are parallel to each other.<\/li>\n<li>Therefore, the angular difference between meridians at the Equator is zero.<\/li>\n<li>At the poles, meridians meet at an angle (maximum convergence).<\/li>\n<li>The angular difference between meridians is equal to their difference in longitude.<\/li>\n<\/ul>\n<h3>Earth Convergence<\/h3>\n<p> <img decoding=\"async\" src=\"https:\/\/ibexaviation.com\/page-show\/general-navigation\/g10-earth-convergence-and-conversion-angle-3.jpg\" alt=\"\" loading=\"lazy\"\/><\/p>\n<ul>\n<li>Consider meridians 000&deg; and 045&deg;E, which are 45&deg; apart in longitude.<\/li>\n<li>The angle between them on a latitude is less than 45&deg; but greater than 0&deg;.<\/li>\n<li>Earth convergence is also called <strong>meridional convergence<\/strong>.<\/li>\n<li>It is the angular difference between meridians at a given latitude.<\/li>\n<\/ul>\n<h3>Convergence at Equator and Poles<\/h3>\n<p> <img decoding=\"async\" src=\"https:\/\/ibexaviation.com\/page-show\/general-navigation\/g10-earth-convergence-and-conversion-angle-4.jpg\" alt=\"\" loading=\"lazy\"\/><\/p>\n<ul>\n<li>Convergence is the angular difference between meridians at a given latitude.<\/li>\n<li>It is minimum at <strong>0&deg; latitude (Equator)<\/strong>.<\/li>\n<li>It is maximum at <strong>90&deg; latitude (Poles)<\/strong>.<\/li>\n<\/ul>\n<h3>Calculation of Convergence<\/h3>\n<p> <img decoding=\"async\" src=\"https:\/\/ibexaviation.com\/page-show\/general-navigation\/g10-earth-convergence-and-conversion-angle-5.jpg\" alt=\"\" loading=\"lazy\"\/><\/p>\n<ul>\n<li>The angular difference between meridians follows a sine relationship.<\/li>\n<li>At the Equator (0&deg;), sin 0 = 0, so convergence is zero.<\/li>\n<li>At the Poles (90&deg;), sin 90 = 1, so convergence equals change in longitude.<\/li>\n<li><strong>Formula:<\/strong> Convergence = Change in Longitude \u00d7 sin(latitude)<\/li>\n<\/ul>\n<h3>Significance of Convergence<\/h3>\n<p> <img decoding=\"async\" src=\"https:\/\/ibexaviation.com\/page-show\/general-navigation\/g10-earth-convergence-and-conversion-angle-6.jpg\" alt=\"\" loading=\"lazy\"\/><\/p>\n<ul>\n<li>Convergence is the angle between two selected meridians.<\/li>\n<li>It represents the change in great circle track direction.<\/li>\n<li>As an aircraft moves between meridians, great circle direction changes accordingly.<\/li>\n<li>The amount of change in great circle track equals convergence.<\/li>\n<li>If points are not on the same latitude, the mean latitude is used.<\/li>\n<\/ul>\n<h3>Conversion Angle<\/h3>\n<p> <img decoding=\"async\" src=\"https:\/\/ibexaviation.com\/page-show\/general-navigation\/g10-earth-convergence-and-conversion-angle-7.jpg\" alt=\"\" loading=\"lazy\"\/><\/p>\n<ul>\n<li>Conversion angle is the difference between Great Circle and Rhumb Line tracks.<\/li>\n<li>It is equal to half of the convergence.<\/li>\n<li>A rhumb line crosses all meridians at a constant angle.<\/li>\n<\/ul>\n<h3>Significance of Conversion Angle<\/h3>\n<p> <img decoding=\"async\" src=\"https:\/\/ibexaviation.com\/page-show\/general-navigation\/g10-earth-convergence-and-conversion-angle-8.jpg\" alt=\"\" loading=\"lazy\"\/><\/p>\n<ul>\n<li>Great circle track changes direction relative to a rhumb line.<\/li>\n<li>The difference in track is given by the conversion angle.<\/li>\n<li><strong>Formula:<\/strong> Conversion Angle = \u00bd \u00d7 Change in Longitude \u00d7 sin(mean latitude)<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Convergence and Conversion Angle Convergence is the angle between two meridians of longitude as they move closer together toward the poles. It affects the difference between true north directions at different positions on Earth. Conversion angle is used to calculate Great circle and Rhumb line directions. Convergency or Earth Convergence Meridians converge toward the poles and diverge toward the Equator. At the Equator, meridians are parallel to each other. Therefore, the angular difference between meridians at the Equator is zero. At the poles, meridians meet at an angle (maximum convergence).&hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"disable_featured_image":false,"footnotes":""},"categories":[324],"tags":[],"class_list":["post-14221","post","type-post","status-publish","format-standard","hentry","category-cpl-atpl-general-navigation"],"_links":{"self":[{"href":"https:\/\/ibexaviation.com\/pilot-training\/wp-json\/wp\/v2\/posts\/14221","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ibexaviation.com\/pilot-training\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ibexaviation.com\/pilot-training\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ibexaviation.com\/pilot-training\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ibexaviation.com\/pilot-training\/wp-json\/wp\/v2\/comments?post=14221"}],"version-history":[{"count":1,"href":"https:\/\/ibexaviation.com\/pilot-training\/wp-json\/wp\/v2\/posts\/14221\/revisions"}],"predecessor-version":[{"id":16627,"href":"https:\/\/ibexaviation.com\/pilot-training\/wp-json\/wp\/v2\/posts\/14221\/revisions\/16627"}],"wp:attachment":[{"href":"https:\/\/ibexaviation.com\/pilot-training\/wp-json\/wp\/v2\/media?parent=14221"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ibexaviation.com\/pilot-training\/wp-json\/wp\/v2\/categories?post=14221"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ibexaviation.com\/pilot-training\/wp-json\/wp\/v2\/tags?post=14221"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}