{"id":3661,"date":"2026-03-21T05:22:38","date_gmt":"2026-03-21T05:22:38","guid":{"rendered":"https:\/\/npk1169-001-site1.mtempurl.com\/?p=3661"},"modified":"2026-04-13T07:50:10","modified_gmt":"2026-04-13T07:50:10","slug":"planetary-diameters","status":"publish","type":"post","link":"https:\/\/www.bharatwisdom.com\/hi\/astronomy\/planetary-diameters\/","title":{"rendered":"Planetary Diameters \u2013 Measuring the Untouchable Worlds"},"content":{"rendered":"<div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container 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:1279.2px;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_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-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-1\"><p id=\"p-rc_e1e3db6af71809d1-716\" data-path-to-node=\"3\"><span data-path-to-node=\"3,0\"><b data-path-to-node=\"3,0\" data-index-in-node=\"0\">\u0905\u0935\u0927\u093e\u0930\u0923\u093e<\/b> <\/span><span data-path-to-node=\"3,2\"><span class=\"citation-3364\">How can you measure a planet without a telescope? <\/span><\/span><span data-path-to-node=\"3,5\"><span class=\"citation-3363\">The <\/span><i data-path-to-node=\"3,5\" data-index-in-node=\"4\"><span class=\"citation-3363\">\u0938\u0942\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/span><\/i><span class=\"citation-3363\"> determines the planet&#8217;s angular diameter (how large it appears) and then utilises it to calculate its orbit<\/span><\/span><span data-path-to-node=\"3,7\">. <\/span><span data-path-to-node=\"3,9\"><span class=\"citation-3362\">It accurately states that the physical size remains constant, while the visual size varies with distance<\/span><\/span><span data-path-to-node=\"3,11\">. <\/span><span data-path-to-node=\"3,13\"><span class=\"citation-3361\">It uses trigonometry to calculate the diameters of Mars, Saturn, and Mercury in yojanas by setting the Moon&#8217;s angular size to approximately 32 arcminutes, which is consistent with modern figures<\/span><\/span><span data-path-to-node=\"3,15\">.<\/span><\/p>\n<p id=\"p-rc_e1e3db6af71809d1-717\" data-path-to-node=\"4\"><span data-path-to-node=\"4,0\"><b data-path-to-node=\"4,0\" data-index-in-node=\"0\">\u0915\u0939\u093e\u0928\u0940<\/b> <\/span><span data-path-to-node=\"4,2\"><span class=\"citation-3360\">How do you measure a world you cannot touch? <\/span><\/span><span data-path-to-node=\"4,5\"><span class=\"citation-3359\">Without the aid of a single glass lens, the authors of the <\/span><i data-path-to-node=\"4,5\" data-index-in-node=\"59\"><span class=\"citation-3359\">\u0938\u0942\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/span><\/i><span class=\"citation-3359\"> looked at the wandering lights in the sky and saw them as physical spheres<\/span><\/span><span data-path-to-node=\"4,7\">. <\/span><span data-path-to-node=\"4,9\"><span class=\"citation-3358\">While European science wouldn&#8217;t accurately measure a planet&#8217;s diameter until the 17th century, ancient Indian astronomers were using the Moon\u2019s angular size as a &#8220;cosmic ruler&#8221;<\/span><\/span><span data-path-to-node=\"4,11\">. <\/span><span data-path-to-node=\"4,13\"><span class=\"citation-3357\">By applying complex trigonometry, they calculated the diameters of Mercury, Mars, and Saturn with stunning precision<\/span><\/span><span data-path-to-node=\"4,15\">. <\/span><span data-path-to-node=\"4,17\"><span class=\"citation-3356\">They even managed to distinguish between the solid globe of Saturn and its mysterious rings\u2014all through the power of pure, naked-eye mathematics<\/span><\/span><span data-path-to-node=\"4,19\">.<\/span><\/p>\n<p data-path-to-node=\"5\"><b data-path-to-node=\"5\" data-index-in-node=\"0\">\u0938\u092e\u092f\u0930\u0947\u0916\u093e<\/b><\/p>\n<table data-path-to-node=\"6\">\n<thead>\n<tr>\n<td><strong>\u092e\u0940\u0932 \u0915\u093e \u092a\u0924\u094d\u0925\u0930<\/strong><\/td>\n<td><strong>\u0935\u093f\u0935\u0930\u0923<\/strong><\/td>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><span data-path-to-node=\"6,1,0,0\"><b data-path-to-node=\"6,1,0,0\" data-index-in-node=\"0\">\u092a\u0936\u094d\u091a\u093f\u092e\u0940 \u0938\u0902\u0926\u0930\u094d\u092d.<\/b><\/span><\/td>\n<td>\n<p id=\"p-rc_e1e3db6af71809d1-718\" data-path-to-node=\"6,1,1,0\"><span data-path-to-node=\"6,1,1,0,1\"><span class=\"citation-3355\">1660s CE (Giovanni Cassini)<\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"6,2,0,0\"><b data-path-to-node=\"6,2,0,0\" data-index-in-node=\"0\">\u092d\u093e\u0930\u0924\u0940\u092f \u0938\u094d\u0930\u094b\u0924<\/b><\/span><\/td>\n<td>\n<p id=\"p-rc_e1e3db6af71809d1-719\" data-path-to-node=\"6,2,1,0\"><span data-path-to-node=\"6,2,1,0,1\"><span class=\"citation-3354\">\u0935\u0948\u0926\u093f\u0915 \u0915\u093e\u0932 (<\/span><i data-path-to-node=\"6,2,1,0,1\" data-index-in-node=\"14\"><span class=\"citation-3354\">\u0938\u0942\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/span><\/i><span class=\"citation-3354\">) <\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"6,3,0,0\"><b data-path-to-node=\"6,3,0,0\" data-index-in-node=\"0\">\u0915\u093e\u0932 \u0905\u0902\u0924\u0930\u093e\u0932<\/b><\/span><\/td>\n<td>\n<p id=\"p-rc_e1e3db6af71809d1-720\" data-path-to-node=\"6,3,1,0\"><span data-path-to-node=\"6,3,1,0,1\"><span class=\"citation-3353\">11,000 \u0935\u0930\u094d\u0937\u094b\u0902 \u0938\u0947 \u092d\u0940 \u0905\u0927\u093f\u0915 <\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p data-path-to-node=\"7\"><b data-path-to-node=\"7\" data-index-in-node=\"0\">\u092e\u0942\u0932 \u092a\u093e\u0920<\/b><\/p>\n<blockquote data-path-to-node=\"8\">\n<p id=\"p-rc_e1e3db6af71809d1-721\" data-path-to-node=\"8,0\"><span data-path-to-node=\"8,0,0\"><b data-path-to-node=\"8,0,0\" data-index-in-node=\"0\">\u0938\u0902\u0938\u094d\u0915\u0943\u0924 \u0936\u094d\u0932\u094b\u0915:<\/b> \u092f\u094b\u091c\u0928\u093e\u0928\u093f \u0936\u0924\u093e\u0928\u094d\u092f\u0937\u094d\u091f\u094c \u092d\u0942\u0915\u0930\u094d\u0923\u094b \u0926\u094d\u0935\u093f\u0917\u0941\u0923\u093e\u0928\u093f \u0924\u0941 \u0964 <\/span><span data-path-to-node=\"8,0,2\"><span class=\"citation-3352\">\u0924\u094d\u0930\u093f\u0902\u0936\u0926\u094d\u092d\u093f\u0930\u0927\u093f\u0915\u093e\u0928\u094d\u092f\u093e\u0939\u0941\u0930\u0930\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0935\u094b\u0930\u094d\u092e\u093f\u0925\u0941\u0928\u0902 \u0935\u093f\u0928\u093e \u0965 <\/span><\/span><\/p>\n<p data-path-to-node=\"8,0\"><span data-path-to-node=\"8,0,4\"> <b data-path-to-node=\"8,0,4\" data-index-in-node=\"1\">\u0932\u093f\u092a\u094d\u092f\u0902\u0924\u0930\u0923:<\/b> Yojan\u0101ni \u015bat\u0101nya\u1e63\u1e6dau bh\u016bkar\u1e47o dvigu\u1e47\u0101ni tu | Tri\u1e43\u015badbhiradhik\u0101ny\u0101hurarkendvormithuna\u1e43 vin\u0101 || (Surya Siddhanta 1.59 \/ 7.13 varies by recension)<\/span><\/p>\n<p data-path-to-node=\"8,0\"><span data-path-to-node=\"8,0,8\"><b data-path-to-node=\"8,0,8\" data-index-in-node=\"0\"><span class=\"citation-3350\">\u0905\u0930\u094d\u0925:<\/span><\/b><span class=\"citation-3350\"> &#8220;The diameter of the Earth is 800 Yojanas. (In Chapter 7, verse 13, it specifies the angular diameters of Mars, Saturn, Mercury, Jupiter, and Venus at the Moon&#8217;s distance).&#8221; <\/span><\/span><\/p>\n<div class=\"source-inline-chip-container ng-star-inserted\"><\/div>\n<\/blockquote>\n<p id=\"p-rc_e1e3db6af71809d1-722\" data-path-to-node=\"9\"><span data-path-to-node=\"9,0\"><b data-path-to-node=\"9,0\" data-index-in-node=\"0\">\u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0928\u0935\u093e\u091a\u093e\u0930<\/b> <\/span><span data-path-to-node=\"9,2\"><span class=\"citation-3349\">Variable Size: The apparent diameter changes depending on where the object is in its orbit (apogee\/perigee)<\/span><\/span><span data-path-to-node=\"9,4\">. <\/span><span data-path-to-node=\"9,6\"><span class=\"citation-3348\">\u0938\u094d\u0930\u094b\u0924: <\/span><i data-path-to-node=\"9,6\" data-index-in-node=\"8\"><span class=\"citation-3348\">\u0938\u0942\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/span><\/i><\/span><span data-path-to-node=\"9,8\">.<\/span><\/p>\n<p data-path-to-node=\"10\"><b data-path-to-node=\"10\" data-index-in-node=\"0\">\u092e\u091c\u0947\u0926\u093e\u0930 \u0924\u0925\u094d\u092f<\/b><\/p>\n<p id=\"p-rc_e1e3db6af71809d1-723\" data-path-to-node=\"12\"><span data-path-to-node=\"12,0\"><i data-path-to-node=\"12,0\" data-index-in-node=\"0\"><span class=\"citation-3347\">\u0938\u0942\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/span><\/i><span class=\"citation-3347\"> correctly identifies Mercury as smaller than Mars, despite being difficult to see due to the Sun&#8217;s glare<\/span><\/span><span data-path-to-node=\"12,2\">.<\/span><\/p>\n<p id=\"p-rc_e1e3db6af71809d1-724\" data-path-to-node=\"13\"><span data-path-to-node=\"13,0\"><b data-path-to-node=\"13,0\" data-index-in-node=\"0\">\u0906\u0927\u0941\u0928\u093f\u0915 \u0935\u093f\u0930\u093e\u0938\u0924<\/b> <\/span><span data-path-to-node=\"13,2\"><span class=\"citation-3346\">This is the foundation of modern science and astrophysics, both of which rely on observational data to determine physical attributes<\/span><\/span><span data-path-to-node=\"13,4\">.<\/span><\/p>\n<\/div><\/div><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":3517,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[75],"tags":[89,84,88,86,488,85,87],"class_list":["post-3661","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-astronomy","tag-ancient-mathematics","tag-astronomy","tag-astrophysics","tag-planetary-diameters","tag-planetary-astronomy","tag-surya-siddhanta","tag-trigonometry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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