{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-05-26T00:16:20.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-05-26T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":2383,"title":"Kepler's Equation","description":"Solve \u003chttp://en.wikipedia.org/wiki/Kepler's_equation Kepler's Equation\u003e. \r\n\r\nNote that the solution is rounded down to 5 decimal places at the test suite.\r\n\r\nInputs:\r\n\r\n* M    mean anomaly [rad]\r\n* e    eccentricity [1]\r\n\r\nOutputs:\r\n\r\n* E    eccentric anomaly [rad]","description_html":"\u003cp\u003eSolve \u003ca href = \"http://en.wikipedia.org/wiki/Kepler's_equation\"\u003eKepler's Equation\u003c/a\u003e.\u003c/p\u003e\u003cp\u003eNote that the solution is rounded down to 5 decimal places at the test suite.\u003c/p\u003e\u003cp\u003eInputs:\u003c/p\u003e\u003cul\u003e\u003cli\u003eM    mean anomaly [rad]\u003c/li\u003e\u003cli\u003ee    eccentricity [1]\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eOutputs:\u003c/p\u003e\u003cul\u003e\u003cli\u003eE    eccentric anomaly [rad]\u003c/li\u003e\u003c/ul\u003e","function_template":"function E = kepler(M, e)\r\n    E = M;\r\nend","test_suite":"%%\r\nM = pi/2;\r\ne = 0;\r\nassert(isequal(round(kepler(M, e)*1e5)/1e5, 1.5708))\r\n%%\r\nM = pi/2;\r\ne = 0.8;\r\nassert(isequal(round(kepler(M, e)*1e5)/1e5, 2.21193))\r\n%%\r\nM = pi/3;\r\ne = 0.1;\r\nassert(isequal(round(kepler(M, e)*1e5)/1e5, 1.13798))\r\n%%\r\nM = 0.1;\r\ne = 0.2;\r\nassert(isequal(round(kepler(M, e)*1e5)/1e5, 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version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSolve\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://en.wikipedia.org/wiki/Kepler's_equation\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eKepler's Equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNote that the solution is rounded down to 5 decimal places at the test suite.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSolve\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://en.wikipedia.org/wiki/Kepler's_equation\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eKepler's Equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNote that the solution is rounded down to 5 decimal places at the test suite.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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