{"id":3710,"date":"2026-03-21T07:45:40","date_gmt":"2026-03-21T07:45:40","guid":{"rendered":"https:\/\/npk1169-001-site1.mtempurl.com\/?p=3710"},"modified":"2026-04-13T07:45:38","modified_gmt":"2026-04-13T07:45:38","slug":"the-epicyclic-model-manda-and-shighra","status":"publish","type":"post","link":"https:\/\/www.bharatwisdom.com\/hi\/astronomy\/the-epicyclic-model-manda-and-shighra\/","title":{"rendered":"\u090f\u092a\u093f\u0938\u093e\u0907\u0915\u094d\u0932\u093f\u0915 \u092e\u0949\u0921\u0932 (\u092e\u0902\u0921\u093e \u0914\u0930 \u0936\u093f\u0918\u094d\u0930) \u2013 \u0917\u094d\u0930\u0939\u094b\u0902 \u0915\u0940 \u0917\u0924\u093f \u0915\u0947 \u0924\u0930\u0932 \u0935\u0943\u0924\u094d\u0924"},"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_464c0678186851ee-1172\" data-path-to-node=\"16\"><span data-path-to-node=\"16,0\"><b data-path-to-node=\"16,0\" data-index-in-node=\"0\">\u0905\u0935\u0927\u093e\u0930\u0923\u093e<\/b> <\/span><span data-path-to-node=\"16,2\"><span class=\"citation-4960\">The <\/span><i data-path-to-node=\"16,2\" data-index-in-node=\"4\"><span class=\"citation-4960\">\u0938\u0942\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/span><\/i><span class=\"citation-4960\"> \u092f\u0939 \u0917\u094d\u0930\u0939\u094b\u0902 \u0915\u0947 \u0924\u094d\u0935\u0930\u0923 \u0914\u0930 \u092e\u0902\u0926\u0928 \u0915\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0947 \u092c\u091c\u093e\u092f \u0909\u092a\u091a\u0915\u094d\u0930\u094b\u0902 (\u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u092a\u0930 \u0918\u0942\u092e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924) \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/span><\/span><span data-path-to-node=\"16,4\">. <\/span><span data-path-to-node=\"16,6\"><span class=\"citation-4959\">\u0907\u0938\u092e\u0947\u0902 \u0926\u094b \u092c\u0926\u0932\u093e\u0935 \u0915\u093f\u090f \u0917\u090f \u0939\u0948\u0902: <\/span><i data-path-to-node=\"16,6\" data-index-in-node=\"22\"><span class=\"citation-4959\">\u092e\u093e\u0902\u0921\u093e<\/span><\/i><span class=\"citation-4959\"> (\u0915\u0915\u094d\u0937\u093e \u0938\u0947 \u0926\u0942\u0930\u0940) \u0914\u0930 <\/span><i data-path-to-node=\"16,6\" data-index-in-node=\"62\"><span class=\"citation-4959\">\u0936\u093f\u0917\u094d\u0930\u093e<\/span><\/i><span class=\"citation-4959\"> (\u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0917\u0924\u093f)<\/span><\/span><span data-path-to-node=\"16,8\">. <\/span><span data-path-to-node=\"16,10\"><span class=\"citation-4958\">\u092f\u0939 \u0932\u0947\u0916 \u0907\u0938 \u092e\u093e\u092f\u0928\u0947 \u092e\u0947\u0902 \u0909\u0932\u094d\u0932\u0947\u0916\u0928\u0940\u092f \u0939\u0948 \u0915\u093f \u0907\u0938\u092e\u0947\u0902 \u092c\u0926\u0932\u0924\u0947 \u0939\u0941\u090f \u0909\u092a\u091a\u0915\u094d\u0930\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948, \u091c\u093f\u0938\u0915\u093e \u0905\u0930\u094d\u0925 \u0939\u0948 \u0915\u093f \u0917\u094d\u0930\u0939 \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0906\u0915\u093e\u0930 \u092c\u0926\u0932\u0924\u093e \u0930\u0939\u0924\u093e \u0939\u0948\u0964<\/span><\/span><span data-path-to-node=\"16,12\">. <\/span><span data-path-to-node=\"16,14\"><span class=\"citation-4957\">\u092f\u0939 \u0932\u091a\u0940\u0932\u093e \u092c\u0940\u091c\u0917\u0923\u093f\u0924 \u0915\u0920\u094b\u0930 \u0917\u094d\u0930\u0940\u0915 \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924\u093e\u0915\u093e\u0930 \u0915\u0915\u094d\u0937\u093e\u0913\u0902 \u0915\u094b \u092a\u0941\u0928\u0903 \u0928\u093f\u0930\u094d\u092e\u093f\u0924 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0915\u0939\u0940\u0902 \u0905\u0927\u093f\u0915 \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0939\u0948\u0964<\/span><\/span><span data-path-to-node=\"16,16\">.<\/span><\/p>\n<p id=\"p-rc_464c0678186851ee-1173\" data-path-to-node=\"17\"><span data-path-to-node=\"17,0\"><b data-path-to-node=\"17,0\" data-index-in-node=\"0\">\u0915\u0939\u093e\u0928\u0940<\/b> <\/span><span data-path-to-node=\"17,2\"><span class=\"citation-4956\">\u0917\u094d\u0930\u0939 \u092a\u0942\u0930\u094d\u0923\u0924\u0903 \u0935\u0943\u0924\u094d\u0924\u093e\u0915\u093e\u0930 \u0917\u0924\u093f \u092e\u0947\u0902 \u0928\u0939\u0940\u0902 \u091a\u0932\u0924\u0947; \u0909\u0928\u0915\u0940 \u0917\u0924\u093f \u0918\u091f\u0924\u0940-\u092c\u0922\u093c\u0924\u0940 \u0930\u0939\u0924\u0940 \u0939\u0948, \u091c\u093f\u0938\u0938\u0947 \u092a\u094d\u0930\u093e\u091a\u0940\u0928 \u0916\u0917\u094b\u0932\u0935\u093f\u0926\u094b\u0902 \u0915\u094b \u0915\u093e\u092b\u0940 \u092a\u0930\u0947\u0936\u093e\u0928\u0940 \u0939\u094b\u0924\u0940 \u0925\u0940\u0964<\/span><\/span><span data-path-to-node=\"17,4\">. <\/span><span data-path-to-node=\"17,6\"><span class=\"citation-4955\">\u091c\u092c\u0915\u093f \u092a\u0936\u094d\u091a\u093f\u092e \u0928\u0947 \u091f\u0949\u0932\u0947\u092e\u0940 \u0915\u0947 \u0915\u0920\u094b\u0930, \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u093e \u0905\u0928\u0941\u0938\u0930\u0923 \u0915\u093f\u092f\u093e, \u0935\u0939\u0940\u0902 <\/span><i data-path-to-node=\"17,6\" data-index-in-node=\"60\"><span class=\"citation-4955\">\u0938\u0942\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/span><\/i><span class=\"citation-4955\"> \u090f\u0915 \u0905\u0927\u093f\u0915 \u0932\u091a\u0940\u0932\u0940 \u0924\u0930\u094d\u0915 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0940 \u0917\u0908: \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u0940\u092f \u090f\u092a\u093f\u0938\u093e\u0907\u0915\u093f\u0932<\/span><\/span><span data-path-to-node=\"17,8\">. <\/span><span data-path-to-node=\"17,10\"><span class=\"citation-4954\">\u0909\u0928\u094d\u0939\u094b\u0902\u0928\u0947 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e <\/span><i data-path-to-node=\"17,10\" data-index-in-node=\"10\"><span class=\"citation-4954\">\u092e\u093e\u0902\u0921\u093e<\/span><\/i><span class=\"citation-4954\"> (\u0926\u0942\u0930\u0940 \u0938\u0941\u0927\u093e\u0930) \u0914\u0930 <\/span><i data-path-to-node=\"17,10\" data-index-in-node=\"42\"><span class=\"citation-4954\">\u0936\u093f\u0917\u094d\u0930\u093e<\/span><\/i><span class=\"citation-4954\"> (\u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0917\u0924\u093f) \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0910\u0938\u0947 &quot;\u092b\u094d\u0932\u0947\u0915\u094d\u0938-\u0938\u0930\u094d\u0915\u0932&quot; \u092c\u0928\u093e\u090f \u091c\u093e\u0924\u0947 \u0925\u0947 \u091c\u093f\u0928\u0915\u093e \u0906\u0915\u093e\u0930 \u0917\u094d\u0930\u0939 \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u092c\u0926\u0932\u0924\u093e \u0930\u0939\u0924\u093e \u0925\u093e\u0964<\/span><\/span><span data-path-to-node=\"17,12\">. <\/span><span data-path-to-node=\"17,14\"><span class=\"citation-4953\">\u0907\u0938 \u092a\u0930\u093f\u0937\u094d\u0915\u0943\u0924 \u092c\u0940\u091c\u0917\u0923\u093f\u0924 \u0928\u0947 \u0909\u0928\u094d\u0939\u0947\u0902 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924\u093e\u0915\u093e\u0930 \u0915\u0915\u094d\u0937\u093e\u0913\u0902 \u0915\u094b \u0907\u0924\u0928\u0940 \u0938\u091f\u0940\u0915\u0924\u093e \u0938\u0947 \u092a\u0941\u0928: \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0905\u0928\u0941\u092e\u0924\u093f \u0926\u0940 \u0915\u093f \u0909\u0928\u0915\u0947 \u092e\u0949\u0921\u0932 \u0906\u091c \u092d\u0940 \u092e\u0902\u0917\u0932 \u0917\u094d\u0930\u0939 \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u0915\u093e \u0905\u0928\u0941\u092e\u093e\u0928 \u0906\u0927\u0941\u0928\u093f\u0915 \u0909\u092a\u0915\u0930\u0923\u094b\u0902 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0938\u091f\u0940\u0915\u0924\u093e \u0938\u0947 \u0932\u0917\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/span><\/span><span data-path-to-node=\"17,16\">.<\/span><\/p>\n<p data-path-to-node=\"18\"><b data-path-to-node=\"18\" data-index-in-node=\"0\">\u0938\u092e\u092f\u0930\u0947\u0916\u093e<\/b><\/p>\n<table data-path-to-node=\"19\">\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=\"19,1,0,0\"><b data-path-to-node=\"19,1,0,0\" 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 data-path-to-node=\"19,1,1,0\"><span data-path-to-node=\"19,1,1,0,0\">\u0938\u0940\u0964. <\/span><span data-path-to-node=\"19,1,1,0,2\"><span class=\"citation-4952\">150 \u0908\u0938\u094d\u0935\u0940 (\u091f\u0949\u0932\u0947\u092e\u0940) <\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"19,2,0,0\"><b data-path-to-node=\"19,2,0,0\" data-index-in-node=\"0\">\u092d\u093e\u0930\u0924\u0940\u092f \u0938\u094d\u0930\u094b\u0924<\/b><\/span><\/td>\n<td>\n<p data-path-to-node=\"19,2,1,1\"><span data-path-to-node=\"19,2,1,1,0\"><i data-path-to-node=\"19,2,1,1,0\" data-index-in-node=\"0\"><span class=\"citation-4951\">\u0938\u0942\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/span><\/i><span class=\"citation-4951\"> (10,000 \u0908\u0938\u093e \u092a\u0942\u0930\u094d\u0935) <\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"19,3,0,0\"><b data-path-to-node=\"19,3,0,0\" data-index-in-node=\"0\">\u0915\u093e\u0932 \u0905\u0902\u0924\u0930\u093e\u0932<\/b><\/span><\/td>\n<td>\n<p data-path-to-node=\"19,3,1,0\"><span data-path-to-node=\"19,3,1,0,1\"><span class=\"citation-4950\">10,000 \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=\"20\"><b data-path-to-node=\"20\" data-index-in-node=\"0\">\u092e\u0942\u0932 \u092a\u093e\u0920<\/b><\/p>\n<blockquote data-path-to-node=\"21\">\n<p id=\"p-rc_464c0678186851ee-1174\" data-path-to-node=\"21,0\"><span data-path-to-node=\"21,0,1\"><span class=\"citation-4949\">The <\/span><i data-path-to-node=\"21,0,1\" data-index-in-node=\"4\"><span class=\"citation-4949\">\u0938\u0942\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/span><\/i><span class=\"citation-4949\"> (2.12) \u0907\u0938 \u0935\u093f\u0927\u093f \u0915\u093e \u0935\u0930\u094d\u0923\u0928 &#039; \u0935\u093e\u0915\u094d\u092f\u093e\u0902\u0936 \u0915\u0947 \u0938\u093e\u0925 \u0915\u0930\u0924\u093e \u0939\u0948\u2018<\/span><i data-path-to-node=\"21,0,1\" data-index-in-node=\"66\"><span class=\"citation-4949\">Mandocchat karnavat.<\/span><\/i><span class=\"citation-4949\">\u2019<\/span><\/span><span data-path-to-node=\"21,0,3\">.<\/span><\/p>\n<div class=\"source-inline-chip-container ng-star-inserted\"><\/div>\n<\/blockquote>\n<p id=\"p-rc_464c0678186851ee-1175\" data-path-to-node=\"22\"><span data-path-to-node=\"22,0\"><b data-path-to-node=\"22,0\" 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=\"22,2\"><span class=\"citation-4948\">\u0915\u0930\u094d\u0923 (<\/span><i data-path-to-node=\"22,2\" data-index-in-node=\"16\"><span class=\"citation-4948\">\u0915\u0930\u094d\u0923<\/span><\/i><span class=\"citation-4948\">) \u2013 \u0915\u093f\u0938\u0940 \u0917\u094d\u0930\u0939 \u0915\u0940 \u0938\u091f\u0940\u0915 \u0926\u0942\u0930\u0940 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090f\u092a\u093f\u0938\u093e\u0907\u0915\u094d\u0932\u093f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u093e<\/span><\/span><span data-path-to-node=\"22,4\">. <\/span><span data-path-to-node=\"22,6\"><span class=\"citation-4947\">\u0938\u094d\u0930\u094b\u0924: <\/span><i data-path-to-node=\"22,6\" data-index-in-node=\"8\"><span class=\"citation-4947\">\u0938\u0942\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/span><\/i><\/span><span data-path-to-node=\"22,8\">.<\/span><\/p>\n<p id=\"p-rc_464c0678186851ee-1176\" data-path-to-node=\"23\"><span data-path-to-node=\"23,0\"><b data-path-to-node=\"23,0\" data-index-in-node=\"0\">\u092e\u091c\u0947\u0926\u093e\u0930 \u0924\u0925\u094d\u092f<\/b> <\/span><span data-path-to-node=\"23,2\"><span class=\"citation-4946\">\u0915\u094d\u092f\u093e \u0906\u092a\u0915\u094b \u092a\u0924\u093e \u0925\u093e \u0915\u093f <\/span><i data-path-to-node=\"23,2\" data-index-in-node=\"22\"><span class=\"citation-4946\">\u0938\u0942\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/span><\/i><span class=\"citation-4946\"> \u0915\u094d\u092f\u093e \u092f\u0939 \u092e\u0949\u0921\u0932 \u0907\u0924\u0928\u093e \u092e\u091c\u092c\u0942\u0924 \u0939\u0948 \u0915\u093f \u092f\u0939 \u092e\u0902\u0917\u0932 \u0917\u094d\u0930\u0939 \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0938\u094d\u0925\u093f\u0924\u093f \u0915\u093e \u0905\u0928\u0941\u092e\u093e\u0928 \u0915\u0947\u0935\u0932 \u0909\u092a\u0915\u0930\u0923\u094b\u0902 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u093f\u0916\u093e\u0908 \u0926\u0947\u0928\u0947 \u0935\u093e\u0932\u0940 \u0924\u094d\u0930\u0941\u091f\u093f \u0915\u0947 \u0938\u093e\u0925 \u0939\u0940 \u0932\u0917\u093e \u0938\u0915\u0924\u093e \u0939\u0948?<\/span><\/span><span data-path-to-node=\"23,4\">.<\/span><\/p>\n<p id=\"p-rc_464c0678186851ee-1177\" data-path-to-node=\"24\"><span data-path-to-node=\"24,0\"><b data-path-to-node=\"24,0\" data-index-in-node=\"0\">\u0906\u0927\u0941\u0928\u093f\u0915 \u0935\u093f\u0930\u093e\u0938\u0924<\/b> <\/span><span data-path-to-node=\"24,2\"><span class=\"citation-4945\">\u092f\u0939 \u092b\u094b\u0930\u093f\u092f\u0930 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u093e \u0905\u0917\u094d\u0930\u0926\u0942\u0924 \u0939\u0948, \u091c\u094b \u091c\u091f\u093f\u0932 \u0935\u0915\u094d\u0930 \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0938\u0930\u0932 \u0935\u0943\u0924\u094d\u0924\u093e\u0915\u093e\u0930 \u0917\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u0938\u0902\u092f\u094b\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/span><\/span><span data-path-to-node=\"24,4\">.<\/span><\/p>\n<\/div><\/div><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":3538,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[75],"tags":[84,114,176,177,178,488,85],"class_list":["post-3710","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-astronomy","tag-astronomy","tag-celestial-mechanics","tag-epicycles","tag-manda-and-shighra","tag-planetary-orbits","tag-planetary-astronomy","tag-surya-siddhanta"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\r\n<title>The Epicyclic Model (Manda and Shighra) \u2013 The Fluid Circles of Planetary Motion - BharatWisdom<\/title>\r\n<meta name=\"description\" content=\"Excerpt\" \/>\r\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\r\n<link rel=\"canonical\" href=\"https:\/\/www.bharatwisdom.com\/hi\/astronomy\/the-epicyclic-model-manda-and-shighra\/\" \/>\r\n<meta property=\"og:locale\" content=\"hi_IN\" \/>\r\n<meta property=\"og:type\" content=\"article\" \/>\r\n<meta property=\"og:title\" content=\"The Epicyclic Model (Manda and Shighra) \u2013 The Fluid Circles of Planetary Motion - BharatWisdom\" \/>\r\n<meta property=\"og:description\" content=\"Excerpt\" \/>\r\n<meta property=\"og:url\" content=\"https:\/\/www.bharatwisdom.com\/hi\/astronomy\/the-epicyclic-model-manda-and-shighra\/\" \/>\r\n<meta property=\"og:site_name\" content=\"BharatWisdom\" \/>\r\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/BharatWisdom\" \/>\r\n<meta property=\"article:published_time\" content=\"2026-03-21T07:45:40+00:00\" \/>\r\n<meta property=\"article:modified_time\" content=\"2026-04-13T07:45:38+00:00\" \/>\r\n<meta property=\"og:image\" content=\"https:\/\/www.bharatwisdom.com\/wp-content\/uploads\/2026\/03\/Img-44.jpg\" \/>\r\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\r\n\t<meta property=\"og:image:height\" content=\"800\" \/>\r\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\r\n<meta name=\"author\" content=\"admin\" \/>\r\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\r\n<meta name=\"twitter:label1\" content=\"\u0926\u094d\u0935\u093e\u0930\u093e \u0932\u093f\u0916\u093f\u0924\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u092a\u0922\u093c\u0928\u0947 \u0915\u093e \u0938\u092e\u092f\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 \u092e\u093f\u0928\u091f\" \/>\r\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/\"},\"author\":{\"name\":\"admin\",\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/#\\\/schema\\\/person\\\/b86f33378bfdfdbcadeda85dfe3cf88d\"},\"headline\":\"The Epicyclic Model (Manda and Shighra) \u2013 The Fluid Circles of Planetary Motion\",\"datePublished\":\"2026-03-21T07:45:40+00:00\",\"dateModified\":\"2026-04-13T07:45:38+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/\"},\"wordCount\":452,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.bharatwisdom.com\\\/wp-content\\\/uploads\\\/2026\\\/03\\\/Img-44.jpg\",\"keywords\":[\"Astronomy\",\"Celestial Mechanics\",\"Epicycles\",\"Manda and Shighra\",\"Planetary Orbits\",\"Planetary-astronomy\",\"Surya Siddhanta\"],\"articleSection\":[\"Astronomy\"],\"inLanguage\":\"hi-IN\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/\",\"url\":\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/\",\"name\":\"The Epicyclic Model (Manda and Shighra) \u2013 The Fluid Circles of Planetary Motion - BharatWisdom\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.bharatwisdom.com\\\/wp-content\\\/uploads\\\/2026\\\/03\\\/Img-44.jpg\",\"datePublished\":\"2026-03-21T07:45:40+00:00\",\"dateModified\":\"2026-04-13T07:45:38+00:00\",\"description\":\"Excerpt\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/#breadcrumb\"},\"inLanguage\":\"hi-IN\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"hi-IN\",\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/#primaryimage\",\"url\":\"https:\\\/\\\/www.bharatwisdom.com\\\/wp-content\\\/uploads\\\/2026\\\/03\\\/Img-44.jpg\",\"contentUrl\":\"https:\\\/\\\/www.bharatwisdom.com\\\/wp-content\\\/uploads\\\/2026\\\/03\\\/Img-44.jpg\",\"width\":1200,\"height\":800},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/astronomy\\\/the-epicyclic-model-manda-and-shighra\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.bharatwisdom.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"The Epicyclic Model (Manda and Shighra) \u2013 The Fluid Circles of Planetary Motion\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/#website\",\"url\":\"https:\\\/\\\/www.bharatwisdom.com\\\/\",\"name\":\"BharatWisdom\",\"description\":\"The Timeless Wisdom of Ancient India\",\"publisher\":{\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.bharatwisdom.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"hi-IN\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/#organization\",\"name\":\"BharatWisdom\",\"url\":\"https:\\\/\\\/www.bharatwisdom.com\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"hi-IN\",\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/www.bharatwisdom.com\\\/wp-content\\\/uploads\\\/2026\\\/03\\\/Logo1.jpg\",\"contentUrl\":\"https:\\\/\\\/www.bharatwisdom.com\\\/wp-content\\\/uploads\\\/2026\\\/03\\\/Logo1.jpg\",\"width\":1600,\"height\":896,\"caption\":\"BharatWisdom\"},\"image\":{\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/BharatWisdom\"]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/www.bharatwisdom.com\\\/#\\\/schema\\\/person\\\/b86f33378bfdfdbcadeda85dfe3cf88d\",\"name\":\"admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"hi-IN\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/1dfb76bc7a995987b54b80829d4ff2c7f4a98cded65a38e2fd28ff5a3a206c9b?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/1dfb76bc7a995987b54b80829d4ff2c7f4a98cded65a38e2fd28ff5a3a206c9b?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/1dfb76bc7a995987b54b80829d4ff2c7f4a98cded65a38e2fd28ff5a3a206c9b?s=96&d=mm&r=g\",\"caption\":\"admin\"},\"sameAs\":[\"https:\\\/\\\/www.bharatwisdom.com\"],\"url\":\"https:\\\/\\\/www.bharatwisdom.com\\\/hi\\\/author\\\/narasimha_gjz9gyqy\\\/\"}]}<\/script>\r\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"The Epicyclic Model (Manda and Shighra) \u2013 The Fluid Circles of Planetary Motion - BharatWisdom","description":"Excerpt","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.bharatwisdom.com\/hi\/astronomy\/the-epicyclic-model-manda-and-shighra\/","og_locale":"hi_IN","og_type":"article","og_title":"The Epicyclic Model (Manda and Shighra) \u2013 The Fluid Circles of Planetary Motion - BharatWisdom","og_description":"Excerpt","og_url":"https:\/\/www.bharatwisdom.com\/hi\/astronomy\/the-epicyclic-model-manda-and-shighra\/","og_site_name":"BharatWisdom","article_publisher":"https:\/\/www.facebook.com\/BharatWisdom","article_published_time":"2026-03-21T07:45:40+00:00","article_modified_time":"2026-04-13T07:45:38+00:00","og_image":[{"width":1200,"height":800,"url":"https:\/\/www.bharatwisdom.com\/wp-content\/uploads\/2026\/03\/Img-44.jpg","type":"image\/jpeg"}],"author":"admin","twitter_card":"summary_large_image","twitter_misc":{"\u0926\u094d\u0935\u093e\u0930\u093e \u0932\u093f\u0916\u093f\u0924":"admin","\u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u092a\u0922\u093c\u0928\u0947 \u0915\u093e \u0938\u092e\u092f":"2 \u092e\u093f\u0928\u091f"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/#article","isPartOf":{"@id":"https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/"},"author":{"name":"admin","@id":"https:\/\/www.bharatwisdom.com\/#\/schema\/person\/b86f33378bfdfdbcadeda85dfe3cf88d"},"headline":"The Epicyclic Model (Manda and Shighra) \u2013 The Fluid Circles of Planetary Motion","datePublished":"2026-03-21T07:45:40+00:00","dateModified":"2026-04-13T07:45:38+00:00","mainEntityOfPage":{"@id":"https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/"},"wordCount":452,"commentCount":0,"publisher":{"@id":"https:\/\/www.bharatwisdom.com\/#organization"},"image":{"@id":"https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/#primaryimage"},"thumbnailUrl":"https:\/\/www.bharatwisdom.com\/wp-content\/uploads\/2026\/03\/Img-44.jpg","keywords":["Astronomy","Celestial Mechanics","Epicycles","Manda and Shighra","Planetary Orbits","Planetary-astronomy","Surya Siddhanta"],"articleSection":["Astronomy"],"inLanguage":"hi-IN","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/","url":"https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/","name":"The Epicyclic Model (Manda and Shighra) \u2013 The Fluid Circles of Planetary Motion - BharatWisdom","isPartOf":{"@id":"https:\/\/www.bharatwisdom.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/#primaryimage"},"image":{"@id":"https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/#primaryimage"},"thumbnailUrl":"https:\/\/www.bharatwisdom.com\/wp-content\/uploads\/2026\/03\/Img-44.jpg","datePublished":"2026-03-21T07:45:40+00:00","dateModified":"2026-04-13T07:45:38+00:00","description":"Excerpt","breadcrumb":{"@id":"https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/#breadcrumb"},"inLanguage":"hi-IN","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/"]}]},{"@type":"ImageObject","inLanguage":"hi-IN","@id":"https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/#primaryimage","url":"https:\/\/www.bharatwisdom.com\/wp-content\/uploads\/2026\/03\/Img-44.jpg","contentUrl":"https:\/\/www.bharatwisdom.com\/wp-content\/uploads\/2026\/03\/Img-44.jpg","width":1200,"height":800},{"@type":"BreadcrumbList","@id":"https:\/\/www.bharatwisdom.com\/astronomy\/the-epicyclic-model-manda-and-shighra\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.bharatwisdom.com\/"},{"@type":"ListItem","position":2,"name":"The Epicyclic Model (Manda and Shighra) \u2013 The Fluid Circles of Planetary Motion"}]},{"@type":"WebSite","@id":"https:\/\/www.bharatwisdom.com\/#website","url":"https:\/\/www.bharatwisdom.com\/","name":"BharatWisdom","description":"The Timeless Wisdom of Ancient India","publisher":{"@id":"https:\/\/www.bharatwisdom.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.bharatwisdom.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"hi-IN"},{"@type":"Organization","@id":"https:\/\/www.bharatwisdom.com\/#organization","name":"BharatWisdom","url":"https:\/\/www.bharatwisdom.com\/","logo":{"@type":"ImageObject","inLanguage":"hi-IN","@id":"https:\/\/www.bharatwisdom.com\/#\/schema\/logo\/image\/","url":"https:\/\/www.bharatwisdom.com\/wp-content\/uploads\/2026\/03\/Logo1.jpg","contentUrl":"https:\/\/www.bharatwisdom.com\/wp-content\/uploads\/2026\/03\/Logo1.jpg","width":1600,"height":896,"caption":"BharatWisdom"},"image":{"@id":"https:\/\/www.bharatwisdom.com\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/BharatWisdom"]},{"@type":"Person","@id":"https:\/\/www.bharatwisdom.com\/#\/schema\/person\/b86f33378bfdfdbcadeda85dfe3cf88d","name":"\u092a\u094d\u0930\u0936\u093e\u0938\u0928","image":{"@type":"ImageObject","inLanguage":"hi-IN","@id":"https:\/\/secure.gravatar.com\/avatar\/1dfb76bc7a995987b54b80829d4ff2c7f4a98cded65a38e2fd28ff5a3a206c9b?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/1dfb76bc7a995987b54b80829d4ff2c7f4a98cded65a38e2fd28ff5a3a206c9b?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/1dfb76bc7a995987b54b80829d4ff2c7f4a98cded65a38e2fd28ff5a3a206c9b?s=96&d=mm&r=g","caption":"admin"},"sameAs":["https:\/\/www.bharatwisdom.com"],"url":"https:\/\/www.bharatwisdom.com\/hi\/author\/narasimha_gjz9gyqy\/"}]}},"_links":{"self":[{"href":"https:\/\/www.bharatwisdom.com\/hi\/wp-json\/wp\/v2\/posts\/3710","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.bharatwisdom.com\/hi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.bharatwisdom.com\/hi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.bharatwisdom.com\/hi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.bharatwisdom.com\/hi\/wp-json\/wp\/v2\/comments?post=3710"}],"version-history":[{"count":2,"href":"https:\/\/www.bharatwisdom.com\/hi\/wp-json\/wp\/v2\/posts\/3710\/revisions"}],"predecessor-version":[{"id":4777,"href":"https:\/\/www.bharatwisdom.com\/hi\/wp-json\/wp\/v2\/posts\/3710\/revisions\/4777"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.bharatwisdom.com\/hi\/wp-json\/wp\/v2\/media\/3538"}],"wp:attachment":[{"href":"https:\/\/www.bharatwisdom.com\/hi\/wp-json\/wp\/v2\/media?parent=3710"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.bharatwisdom.com\/hi\/wp-json\/wp\/v2\/categories?post=3710"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.bharatwisdom.com\/hi\/wp-json\/wp\/v2\/tags?post=3710"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}