{"id":3085,"date":"2008-07-09T00:00:00","date_gmt":"2008-07-08T22:00:00","guid":{"rendered":""},"modified":"-0001-11-30T00:00:00","modified_gmt":"-0001-11-29T22:00:00","slug":"3085","status":"publish","type":"post","link":"https:\/\/www.vialattea.net\/content\/3085\/","title":{"rendered":"Buongiorno, sto elaborando un foglio excel che crea empiricamente un sistema solare (con valori medi). Vorrei sapere se esiste una teoria per la determinazione dell&#8217;orbita delle lune dei pianeti simile alla legge Titius-Bode. Grazie anticipatamente, Marco."},"content":{"rendered":"<p class=\"MsoNormal\" style=\"text-align: justify;\">In generale, la successione delle distanze dei pianeti dal Sole pu\u00f2 essere approssimata attraverso una formula empirica del tipo:<o:p><\/o:p><\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\"><u1:p>a<sub>n<\/sub> = b + c \u00b7 d<sup>n<\/sup><\/u1:p>\u00a0\u00a0\u00a0\u00a0\u00a0 (1)<o:p><\/o:p><\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\">dove b, c e d sono delle opportune costanti e n \u00e8 un numero intero. Ad esempio, quando b=0,4, c=0,3, d=2 e n=-infinito, 0, 1, 2, 3, 4, 5, 6, 7 si ha la famosa \u201clegge\u201d di Titius-Bode (1766) (Nieto, 1970):<\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\">\n<meta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\" \/><br \/>\n<meta content=\"Word.Document\" name=\"ProgId\" \/><br \/>\n<meta content=\"Microsoft Word 11\" name=\"Generator\" \/><br \/>\n<meta content=\"Microsoft Word 11\" name=\"Originator\" \/>\n<link href=\"file:\/\/\/C:DOCUME~1PaoloIMPOST~1Tempmsohtml1&#65533;4clip_filelist.xml\" rel=\"File-List\" \/><!--[if gte mso 9]><xml>\n<w:WordDocument>\n<w:View>Normal<\/w:View>\n<w:Zoom>0<\/w:Zoom>\n<w:HyphenationZone>14<\/w:HyphenationZone>\n<w:PunctuationKerning \/>\n<w:ValidateAgainstSchemas \/>\n<w:SaveIfXMLInvalid>false<\/w:SaveIfXMLInvalid>\n<w:IgnoreMixedContent>false<\/w:IgnoreMixedContent>\n<w:AlwaysShowPlaceholderText>false<\/w:AlwaysShowPlaceholderText>\n<w:Compatibility>\n<w:BreakWrappedTables \/>\n<w:SnapToGridInCell \/>\n<w:WrapTextWithPunct \/>\n<w:UseAsianBreakRules \/>\n<w:DontGrowAutofit \/>\n<\/w:Compatibility>\n<w:BrowserLevel>MicrosoftInternetExplorer4<\/w:BrowserLevel>\n<\/w:WordDocument>\n<\/xml><![endif]--><!--[if gte mso 9]><xml>\n<w:LatentStyles DefLockedState=\"false\" LatentStyleCount=\"156\">\n<\/w:LatentStyles>\n<\/xml><![endif]--><\/p>\n<style type=\"text\/css\">\n<!--\n \/* Style Definitions *\/\n p.MsoNormal, li.MsoNormal, div.MsoNormal\n\t{mso-style-parent:\"\";\n\tmargin:0cm;\n\tmargin-bottom:.0001pt;\n\tmso-pagination:widow-orphan;\n\tfont-size:12.0pt;\n\tfont-family:\"Times New Roman\";\n\tmso-fareast-font-family:\"Times New Roman\";}\n@page Section1\n\t{size:612.0pt 792.0pt;\n\tmargin:70.85pt 2.0cm 2.0cm 2.0cm;\n\tmso-header-margin:36.0pt;\n\tmso-footer-margin:36.0pt;\n\tmso-paper-source:0;}\ndiv.Section1\n\t{page:Section1;}\n-->\n<\/style>\n<p><!--[if gte mso 10]>\n\n\n<style>\n\/* Style Definitions *\/\ntable.MsoNormalTable\n{mso-style-name:\"Tabella normale\";\nmso-tstyle-rowband-size:0;\nmso-tstyle-colband-size:0;\nmso-style-noshow:yes;\nmso-style-parent:\"\";\nmso-padding-alt:0cm 5.4pt 0cm 5.4pt;\nmso-para-margin:0cm;\nmso-para-margin-bottom:.0001pt;\nmso-pagination:widow-orphan;\nfont-size:10.0pt;\nfont-family:\"Times New Roman\";\nmso-ansi-language:#0400;\nmso-fareast-language:#0400;\nmso-bidi-language:#0400;}\n<\/style>\n\n\n<![endif]--><\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\">a<sub>n<\/sub> = 0,4 + 0,3 \u00b7 2<sup>n<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (2)<o:p><\/o:p><\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\">La (2) fornisce la sequenza delle distanze planetarie in unit\u00e0 astronomiche (UA). Purtroppo, per Nettuno, Plutone e Eris l\u2019errore \u00e8 molto grande, ma questo non deve stupire. La relazione di Titius-Bode non \u00e8 una legge fisica, ma una semplice relazione empirica formulata quando i pianeti noti del Sistema Solare si fermavano a Saturno e non era ancora nota l\u2019esistenza degli asteroidi.<o:p><\/o:p><\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\"><u1:p>\u00a0<\/u1:p><o:p><\/o:p><\/p>\n<table cellspacing=\"0\" cellpadding=\"0\" border=\"0\" style=\"border-collapse: collapse;\" class=\"MsoNormalTable\">\n<tbody>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border: 1pt solid windowtext; padding: 0cm 3.5pt; width: 121pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\"><strong>Pianeta<u1:p><\/u1:p><\/strong><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: solid solid solid none; border-color: -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\"><strong>n<u1:p><\/u1:p><\/strong><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: solid solid solid none; border-color: -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\"><strong>Semiasse maggiore osservato (UA)<u1:p><\/u1:p><\/strong><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: solid solid solid none; border-color: -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\"><strong>Valore di Titius-Bode<u1:p><\/u1:p><\/strong><o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 121pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\"><u1:p>\u00a0<\/u1:p><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\"><u1:p>\u00a0<\/u1:p><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\"><u1:p>\u00a0<\/u1:p><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\"><u1:p>\u00a0<\/u1:p><o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 121pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\">Mercurio<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">-infinito<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">0,39<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">0,4<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 121pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\">Venere<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">0<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">0,72<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">0,7<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 121pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\">Terra<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">1<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">1,00<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">1,0<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 121pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\">Marte<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">2<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">1,52<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">1,6<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 121pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\">Cerere<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">3<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">2,80<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">2,8<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 121pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\">Giove<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">4<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">5,20<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">5,2<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 121pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\">Saturno<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">5<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">9,54<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">10,0<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 121pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\">Urano<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">6<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">19,19<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">19,6<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 121pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\">Nettuno<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">7<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">30,07<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">38,8<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 121pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\">Plutone<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">8<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">39,46<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">77,2<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"161\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 121pt;\">\n<p style=\"text-align: justify;\" class=\"MsoNormal\">Eris<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"56\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 41.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">9<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 162.95pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">67,67<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"217\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 163pt;\">\n<p align=\"center\" style=\"text-align: center;\" class=\"MsoNormal\">154,0<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\" class=\"MsoNormal\">\n<meta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\" \/><br \/>\n<meta content=\"Word.Document\" name=\"ProgId\" \/><br \/>\n<meta content=\"Microsoft Word 11\" name=\"Generator\" \/><br \/>\n<meta content=\"Microsoft Word 11\" name=\"Originator\" \/>\n<link href=\"file:\/\/\/C:DOCUME~1PaoloIMPOST~1Tempmsohtml114clip_filelist.xml\" rel=\"File-List\" \/><!--[if gte mso 9]><xml>\n<w:WordDocument>\n<w:View>Normal<\/w:View>\n<w:Zoom>0<\/w:Zoom>\n<w:HyphenationZone>14<\/w:HyphenationZone>\n<w:PunctuationKerning \/>\n<w:ValidateAgainstSchemas \/>\n<w:SaveIfXMLInvalid>false<\/w:SaveIfXMLInvalid>\n<w:IgnoreMixedContent>false<\/w:IgnoreMixedContent>\n<w:AlwaysShowPlaceholderText>false<\/w:AlwaysShowPlaceholderText>\n<w:Compatibility>\n<w:BreakWrappedTables \/>\n<w:SnapToGridInCell \/>\n<w:WrapTextWithPunct \/>\n<w:UseAsianBreakRules \/>\n<w:DontGrowAutofit \/>\n<\/w:Compatibility>\n<w:BrowserLevel>MicrosoftInternetExplorer4<\/w:BrowserLevel>\n<\/w:WordDocument>\n<\/xml><![endif]--><!--[if gte mso 9]><xml>\n<w:LatentStyles DefLockedState=\"false\" LatentStyleCount=\"156\">\n<\/w:LatentStyles>\n<\/xml><![endif]--><\/p>\n<style type=\"text\/css\">\n<!--\n \/* Style Definitions *\/\n p.MsoNormal, li.MsoNormal, div.MsoNormal\n\t{mso-style-parent:\"\";\n\tmargin:0cm;\n\tmargin-bottom:.0001pt;\n\tmso-pagination:widow-orphan;\n\tfont-size:12.0pt;\n\tfont-family:\"Times New Roman\";\n\tmso-fareast-font-family:\"Times New Roman\";}\n@page Section1\n\t{size:612.0pt 792.0pt;\n\tmargin:70.85pt 2.0cm 2.0cm 2.0cm;\n\tmso-header-margin:36.0pt;\n\tmso-footer-margin:36.0pt;\n\tmso-paper-source:0;}\ndiv.Section1\n\t{page:Section1;}\n-->\n<\/style>\n<p><!--[if gte mso 10]>\n\n\n<style>\n\/* Style Definitions *\/\ntable.MsoNormalTable\n{mso-style-name:\"Tabella normale\";\nmso-tstyle-rowband-size:0;\nmso-tstyle-colband-size:0;\nmso-style-noshow:yes;\nmso-style-parent:\"\";\nmso-padding-alt:0cm 5.4pt 0cm 5.4pt;\nmso-para-margin:0cm;\nmso-para-margin-bottom:.0001pt;\nmso-pagination:widow-orphan;\nfont-size:10.0pt;\nfont-family:\"Times New Roman\";\nmso-ansi-language:#0400;\nmso-fareast-language:#0400;\nmso-bidi-language:#0400;}\n<\/style>\n\n\n<![endif]--><\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\">Tabella 1 \u2013 Le previsioni della \u201clegge\u201d di Titius-Bode\u00a0 confrontate con le vere distanze dei pianeti e pianeti nani del Sistema Solare. Ad iniziare da Nettuno, le previsioni sono in contrasto con quanto osservato.<\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\"><o:p><\/o:p><\/p>\n<p><u1:p><\/u1:p><\/p>\n<p>\u00a0<br \/>\n<meta http-equiv=\"Content-Type\" content=\"text\/html; charset=utf-8\" \/><br \/>\n<meta name=\"ProgId\" content=\"Word.Document\" \/><br \/>\n<meta name=\"Generator\" content=\"Microsoft Word 11\" \/><br \/>\n<meta name=\"Originator\" content=\"Microsoft Word 11\" \/>\n<link rel=\"File-List\" href=\"file:\/\/\/C:DOCUME~1PaoloIMPOST~1Tempmsohtml116clip_filelist.xml\" \/><!--[if gte mso 9]><xml>\n<w:WordDocument>\n<w:View>Normal<\/w:View>\n<w:Zoom>0<\/w:Zoom>\n<w:HyphenationZone>14<\/w:HyphenationZone>\n<w:PunctuationKerning \/>\n<w:ValidateAgainstSchemas \/>\n<w:SaveIfXMLInvalid>false<\/w:SaveIfXMLInvalid>\n<w:IgnoreMixedContent>false<\/w:IgnoreMixedContent>\n<w:AlwaysShowPlaceholderText>false<\/w:AlwaysShowPlaceholderText>\n<w:Compatibility>\n<w:BreakWrappedTables \/>\n<w:SnapToGridInCell \/>\n<w:WrapTextWithPunct \/>\n<w:UseAsianBreakRules \/>\n<w:DontGrowAutofit \/>\n<\/w:Compatibility>\n<w:BrowserLevel>MicrosoftInternetExplorer4<\/w:BrowserLevel>\n<\/w:WordDocument>\n<\/xml><![endif]--><!--[if gte mso 9]><xml>\n<w:LatentStyles DefLockedState=\"false\" LatentStyleCount=\"156\">\n<\/w:LatentStyles>\n<\/xml><![endif]--><\/p>\n<style type=\"text\/css\">\n<!--\n \/* Style Definitions *\/\n p.MsoNormal, li.MsoNormal, div.MsoNormal\n\t{mso-style-parent:\"\";\n\tmargin:0cm;\n\tmargin-bottom:.0001pt;\n\tmso-pagination:widow-orphan;\n\tfont-size:12.0pt;\n\tfont-family:\"Times New Roman\";\n\tmso-fareast-font-family:\"Times New Roman\";}\n@page Section1\n\t{size:612.0pt 792.0pt;\n\tmargin:70.85pt 2.0cm 2.0cm 2.0cm;\n\tmso-header-margin:36.0pt;\n\tmso-footer-margin:36.0pt;\n\tmso-paper-source:0;}\ndiv.Section1\n\t{page:Section1;}\n-->\n<\/style>\n<p><!--[if gte mso 10]>\n\n\n<style>\n\/* Style Definitions *\/\ntable.MsoNormalTable\n{mso-style-name:\"Tabella normale\";\nmso-tstyle-rowband-size:0;\nmso-tstyle-colband-size:0;\nmso-style-noshow:yes;\nmso-style-parent:\"\";\nmso-padding-alt:0cm 5.4pt 0cm 5.4pt;\nmso-para-margin:0cm;\nmso-para-margin-bottom:.0001pt;\nmso-pagination:widow-orphan;\nfont-size:10.0pt;\nfont-family:\"Times New Roman\";\nmso-ansi-language:#0400;\nmso-fareast-language:#0400;\nmso-bidi-language:#0400;}\n<\/style>\n\n\n<![endif]--><\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\">Nella (1), quando b=0, c=1, d=1,53 e n=-2, -1, 0, 1, 2-3, 4, 5, 7, 8 si ha la \u201clegge\u201d delle distanze planetarie proposta da Armellini:<\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\"><o:p><\/o:p>a<sub>n<\/sub> = 1,53 <sup>n<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (3)<\/p>\n<p><u1:p><\/u1:p><\/p>\n<p>\u00a0<\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\">\n<meta http-equiv=\"Content-Type\" content=\"text\/html; charset=utf-8\" \/><br \/>\n<meta name=\"ProgId\" content=\"Word.Document\" \/><br \/>\n<meta name=\"Generator\" content=\"Microsoft Word 11\" \/><br \/>\n<meta name=\"Originator\" content=\"Microsoft Word 11\" \/>\n<link rel=\"File-List\" href=\"file:\/\/\/C:DOCUME~1PaoloIMPOST~1Tempmsohtml112clip_filelist.xml\" \/><!--[if gte mso 9]><xml>\n<w:WordDocument>\n<w:View>Normal<\/w:View>\n<w:Zoom>0<\/w:Zoom>\n<w:HyphenationZone>14<\/w:HyphenationZone>\n<w:PunctuationKerning \/>\n<w:ValidateAgainstSchemas \/>\n<w:SaveIfXMLInvalid>false<\/w:SaveIfXMLInvalid>\n<w:IgnoreMixedContent>false<\/w:IgnoreMixedContent>\n<w:AlwaysShowPlaceholderText>false<\/w:AlwaysShowPlaceholderText>\n<w:Compatibility>\n<w:BreakWrappedTables \/>\n<w:SnapToGridInCell \/>\n<w:WrapTextWithPunct \/>\n<w:UseAsianBreakRules \/>\n<w:DontGrowAutofit \/>\n<\/w:Compatibility>\n<w:BrowserLevel>MicrosoftInternetExplorer4<\/w:BrowserLevel>\n<\/w:WordDocument>\n<\/xml><![endif]--><!--[if gte mso 9]><xml>\n<w:LatentStyles DefLockedState=\"false\" LatentStyleCount=\"156\">\n<\/w:LatentStyles>\n<\/xml><![endif]--><\/p>\n<style type=\"text\/css\">\n<!--\n \/* Style Definitions *\/\n p.MsoNormal, li.MsoNormal, div.MsoNormal\n\t{mso-style-parent:\"\";\n\tmargin:0cm;\n\tmargin-bottom:.0001pt;\n\tmso-pagination:widow-orphan;\n\tfont-size:12.0pt;\n\tfont-family:\"Times New Roman\";\n\tmso-fareast-font-family:\"Times New Roman\";}\n@page Section1\n\t{size:612.0pt 792.0pt;\n\tmargin:70.85pt 2.0cm 2.0cm 2.0cm;\n\tmso-header-margin:36.0pt;\n\tmso-footer-margin:36.0pt;\n\tmso-paper-source:0;}\ndiv.Section1\n\t{page:Section1;}\n-->\n<\/style>\n<p><!--[if gte mso 10]>\n\n\n<style>\n\/* Style Definitions *\/\ntable.MsoNormalTable\n{mso-style-name:\"Tabella normale\";\nmso-tstyle-rowband-size:0;\nmso-tstyle-colband-size:0;\nmso-style-noshow:yes;\nmso-style-parent:\"\";\nmso-padding-alt:0cm 5.4pt 0cm 5.4pt;\nmso-para-margin:0cm;\nmso-para-margin-bottom:.0001pt;\nmso-pagination:widow-orphan;\nfont-size:10.0pt;\nfont-family:\"Times New Roman\";\nmso-ansi-language:#0400;\nmso-fareast-language:#0400;\nmso-bidi-language:#0400;}\n<\/style>\n\n\n<![endif]--><\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\">Qui manca il termine con n=6 e per la fascia degli asteroidi ci sono due numeri, 2 e 3. Leggi interpolanti simili a quella di Armellini si possono trovare per sistemi planetari di altre stelle, come ad esempio per quello della 55 Cancri, una stella doppia a 41 anni luce dalla Terra, di cui sono noti gi\u00e0 5 pianeti. In questo caso b=0, c=0,0142, d=<em>e<\/em><sup>0,9975<\/sup> e n=1, 2, 3, 4, 6 (Poveda, Lara, 2008):<\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\">\n<meta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\" \/><br \/>\n<meta content=\"Word.Document\" name=\"ProgId\" \/><br \/>\n<meta content=\"Microsoft Word 11\" name=\"Generator\" \/><br \/>\n<meta content=\"Microsoft Word 11\" name=\"Originator\" \/>\n<link href=\"file:\/\/\/C:DOCUME~1PaoloIMPOST~1Tempmsohtml113clip_filelist.xml\" rel=\"File-List\" \/><!--[if gte mso 9]><xml>\n<w:WordDocument>\n<w:View>Normal<\/w:View>\n<w:Zoom>0<\/w:Zoom>\n<w:HyphenationZone>14<\/w:HyphenationZone>\n<w:PunctuationKerning \/>\n<w:ValidateAgainstSchemas \/>\n<w:SaveIfXMLInvalid>false<\/w:SaveIfXMLInvalid>\n<w:IgnoreMixedContent>false<\/w:IgnoreMixedContent>\n<w:AlwaysShowPlaceholderText>false<\/w:AlwaysShowPlaceholderText>\n<w:Compatibility>\n<w:BreakWrappedTables \/>\n<w:SnapToGridInCell \/>\n<w:WrapTextWithPunct \/>\n<w:UseAsianBreakRules \/>\n<w:DontGrowAutofit \/>\n<\/w:Compatibility>\n<w:BrowserLevel>MicrosoftInternetExplorer4<\/w:BrowserLevel>\n<\/w:WordDocument>\n<\/xml><![endif]--><!--[if gte mso 9]><xml>\n<w:LatentStyles DefLockedState=\"false\" LatentStyleCount=\"156\">\n<\/w:LatentStyles>\n<\/xml><![endif]--><\/p>\n<style type=\"text\/css\">\n<!--\n \/* Style Definitions *\/\n p.MsoNormal, li.MsoNormal, div.MsoNormal\n\t{mso-style-parent:\"\";\n\tmargin:0cm;\n\tmargin-bottom:.0001pt;\n\tmso-pagination:widow-orphan;\n\tfont-size:12.0pt;\n\tfont-family:\"Times New Roman\";\n\tmso-fareast-font-family:\"Times New Roman\";}\n@page Section1\n\t{size:612.0pt 792.0pt;\n\tmargin:70.85pt 2.0cm 2.0cm 2.0cm;\n\tmso-header-margin:36.0pt;\n\tmso-footer-margin:36.0pt;\n\tmso-paper-source:0;}\ndiv.Section1\n\t{page:Section1;}\n-->\n<\/style>\n<p><!--[if gte mso 10]>\n\n\n<style>\n\/* Style Definitions *\/\ntable.MsoNormalTable\n{mso-style-name:\"Tabella normale\";\nmso-tstyle-rowband-size:0;\nmso-tstyle-colband-size:0;\nmso-style-noshow:yes;\nmso-style-parent:\"\";\nmso-padding-alt:0cm 5.4pt 0cm 5.4pt;\nmso-para-margin:0cm;\nmso-para-margin-bottom:.0001pt;\nmso-pagination:widow-orphan;\nfont-size:10.0pt;\nfont-family:\"Times New Roman\";\nmso-ansi-language:#0400;\nmso-fareast-language:#0400;\nmso-bidi-language:#0400;}\n<\/style>\n\n\n<![endif]--><\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\">a<sub>n<\/sub> = 0,0142 \u00b7 e <sup>0,9975 n<\/sup> \u00a0\u00a0\u00a0 (4)<o:p><\/o:p><\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\">\n<meta http-equiv=\"Content-Type\" content=\"text\/html; charset=utf-8\" \/><br \/>\n<meta name=\"ProgId\" content=\"Word.Document\" \/><br \/>\n<meta name=\"Generator\" content=\"Microsoft Word 11\" \/><br \/>\n<meta name=\"Originator\" content=\"Microsoft Word 11\" \/>\n<link rel=\"File-List\" href=\"file:\/\/\/C:DOCUME~1PaoloIMPOST~1Tempmsohtml110clip_filelist.xml\" \/><o:smarttagtype namespaceuri=\"urn:schemas-microsoft-com:office:smarttags\" name=\"PersonName\"><\/o:smarttagtype><!--[if gte mso 9]><xml>\n<w:WordDocument>\n<w:View>Normal<\/w:View>\n<w:Zoom>0<\/w:Zoom>\n<w:HyphenationZone>14<\/w:HyphenationZone>\n<w:PunctuationKerning \/>\n<w:ValidateAgainstSchemas \/>\n<w:SaveIfXMLInvalid>false<\/w:SaveIfXMLInvalid>\n<w:IgnoreMixedContent>false<\/w:IgnoreMixedContent>\n<w:AlwaysShowPlaceholderText>false<\/w:AlwaysShowPlaceholderText>\n<w:Compatibility>\n<w:BreakWrappedTables \/>\n<w:SnapToGridInCell \/>\n<w:WrapTextWithPunct \/>\n<w:UseAsianBreakRules \/>\n<w:DontGrowAutofit \/>\n<\/w:Compatibility>\n<w:BrowserLevel>MicrosoftInternetExplorer4<\/w:BrowserLevel>\n<\/w:WordDocument>\n<\/xml><![endif]--><!--[if gte mso 9]><xml>\n<w:LatentStyles DefLockedState=\"false\" LatentStyleCount=\"156\">\n<\/w:LatentStyles>\n<\/xml><![endif]--><!--[if !mso]><object \nclassid=\"clsid:38481807-CA0E-42D2-BF39-B33AF135CC4D\" id=ieooui><\/object>\n\n\n<style>\nst1:*{behavior:url(#ieooui) }\n<\/style>\n\n\n<![endif]--><\/p>\n<style type=\"text\/css\">\n<!--\n \/* Style Definitions *\/\n p.MsoNormal, li.MsoNormal, div.MsoNormal\n\t{mso-style-parent:\"\";\n\tmargin:0cm;\n\tmargin-bottom:.0001pt;\n\tmso-pagination:widow-orphan;\n\tfont-size:12.0pt;\n\tfont-family:\"Times New Roman\";\n\tmso-fareast-font-family:\"Times New Roman\";}\n@page Section1\n\t{size:612.0pt 792.0pt;\n\tmargin:70.85pt 2.0cm 2.0cm 2.0cm;\n\tmso-header-margin:36.0pt;\n\tmso-footer-margin:36.0pt;\n\tmso-paper-source:0;}\ndiv.Section1\n\t{page:Section1;}\n-->\n<\/style>\n<p><!--[if gte mso 10]>\n\n\n<style>\n\/* Style Definitions *\/\ntable.MsoNormalTable\n{mso-style-name:\"Tabella normale\";\nmso-tstyle-rowband-size:0;\nmso-tstyle-colband-size:0;\nmso-style-noshow:yes;\nmso-style-parent:\"\";\nmso-padding-alt:0cm 5.4pt 0cm 5.4pt;\nmso-para-margin:0cm;\nmso-para-margin-bottom:.0001pt;\nmso-pagination:widow-orphan;\nfont-size:10.0pt;\nfont-family:\"Times New Roman\";\nmso-ansi-language:#0400;\nmso-fareast-language:#0400;\nmso-bidi-language:#0400;}\n<\/style>\n\n\n<![endif]--><\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\">Nella (4) <em>e<\/em>=2,71828\u2026 \u00e8 la base dei logaritmi naturali. La (1) e le sue derivate sono tutte leggi empiriche e non sono giustificate teoricamente (non ancora almeno), dai processi noti di formazione planetaria. In generale, i valori che restituiscono possono essere in discreto accordo con quanto si osserva ma non sono mai esattamente gli stessi. Riguardo alla \u201clegge\u201d di Titius-Bode, non si pu\u00f2 quindi parlare di formulazione teorica e non \u00e8 consigliabile utilizzarla all\u2019interno di software per la simulazione del Sistema Solare. Cos\u00ec facendo si introducono inevitabilmente degli errori. Per questo motivo \u00e8 preferibile non ricorrere a relazioni empiriche delle distanze, di qualsiasi forma siano, ma inserire direttamente i valori realmente osservati.<o:p><\/o:p><\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\">Una formulazione pi\u00f9 recente della (3) \u00e8 stata proposta da S. F. Dermott nel 1968 ma \u00e8 scritta considerando i periodi orbitali invece dei raggi orbitali (si pu\u00f2 passare dai periodi alle distanze usando <st1:personname productid=\"la III\" u3:st=\"on\"><st1:personname productid=\"la III\" w:st=\"on\">la III<\/st1:personname><\/st1:personname> legge di Keplero). La relazione \u00e8 la seguente (Dermott, 1968):<o:p><\/o:p><\/p>\n<p><u1:p><\/u1:p><br \/>\n<meta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\" \/><br \/>\n<meta content=\"Word.Document\" name=\"ProgId\" \/><br \/>\n<meta content=\"Microsoft Word 11\" name=\"Generator\" \/><br \/>\n<meta content=\"Microsoft Word 11\" name=\"Originator\" \/>\n<link href=\"file:\/\/\/C:DOCUME~1PaoloIMPOST~1Tempmsohtml1&#65533;9clip_filelist.xml\" rel=\"File-List\" \/><\/p>\n<p><!--[if gte mso 9]><xml>\n<w:WordDocument>\n<w:View>Normal<\/w:View>\n<w:Zoom>0<\/w:Zoom>\n<w:HyphenationZone>14<\/w:HyphenationZone>\n<w:PunctuationKerning \/>\n<w:ValidateAgainstSchemas \/>\n<w:SaveIfXMLInvalid>false<\/w:SaveIfXMLInvalid>\n<w:IgnoreMixedContent>false<\/w:IgnoreMixedContent>\n<w:AlwaysShowPlaceholderText>false<\/w:AlwaysShowPlaceholderText>\n<w:Compatibility>\n<w:BreakWrappedTables \/>\n<w:SnapToGridInCell \/>\n<w:WrapTextWithPunct \/>\n<w:UseAsianBreakRules \/>\n<w:DontGrowAutofit \/>\n<\/w:Compatibility>\n<w:BrowserLevel>MicrosoftInternetExplorer4<\/w:BrowserLevel>\n<\/w:WordDocument>\n<\/xml><![endif]--><!--[if gte mso 9]><xml>\n<w:LatentStyles DefLockedState=\"false\" LatentStyleCount=\"156\">\n<\/w:LatentStyles>\n<\/xml><![endif]--><\/p>\n<p><style type=\"text\/css\">\n<!--\n \/* Style Definitions *\/\n p.MsoNormal, li.MsoNormal, div.MsoNormal\n\t{mso-style-parent:\"\";\n\tmargin:0cm;\n\tmargin-bottom:.0001pt;\n\tmso-pagination:widow-orphan;\n\tfont-size:12.0pt;\n\tfont-family:\"Times New Roman\";\n\tmso-fareast-font-family:\"Times New Roman\";}\n@page Section1\n\t{size:612.0pt 792.0pt;\n\tmargin:70.85pt 2.0cm 2.0cm 2.0cm;\n\tmso-header-margin:36.0pt;\n\tmso-footer-margin:36.0pt;\n\tmso-paper-source:0;}\ndiv.Section1\n\t{page:Section1;}\n-->\n<\/style>\n<\/p>\n<p><!--[if gte mso 10]>\n\n\n<style>\n\/* Style Definitions *\/\ntable.MsoNormalTable\n{mso-style-name:\"Tabella normale\";\nmso-tstyle-rowband-size:0;\nmso-tstyle-colband-size:0;\nmso-style-noshow:yes;\nmso-style-parent:\"\";\nmso-padding-alt:0cm 5.4pt 0cm 5.4pt;\nmso-para-margin:0cm;\nmso-para-margin-bottom:.0001pt;\nmso-pagination:widow-orphan;\nfont-size:10.0pt;\nfont-family:\"Times New Roman\";\nmso-ansi-language:#0400;\nmso-fareast-language:#0400;\nmso-bidi-language:#0400;}\n<\/style>\n\n\n<![endif]--><\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\">P<sub>n<\/sub> = P<sub>0<\/sub> \u00b7 A<sup>n<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (5)<\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\"><o:p><\/o:p><\/p>\n<p><u1:p><\/u1:p><\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\"><u1:p><\/u1:p><br \/>\n<meta http-equiv=\"Content-Type\" content=\"text\/html; charset=utf-8\" \/><br \/>\n<meta name=\"ProgId\" content=\"Word.Document\" \/><br \/>\n<meta name=\"Generator\" content=\"Microsoft Word 11\" \/><br \/>\n<meta name=\"Originator\" content=\"Microsoft Word 11\" \/>\n<link rel=\"File-List\" href=\"file:\/\/\/C:DOCUME~1PaoloIMPOST~1Tempmsohtml1&#65533;7clip_filelist.xml\" \/><!--[if gte mso 9]><xml>\n<w:WordDocument>\n<w:View>Normal<\/w:View>\n<w:Zoom>0<\/w:Zoom>\n<w:HyphenationZone>14<\/w:HyphenationZone>\n<w:PunctuationKerning \/>\n<w:ValidateAgainstSchemas \/>\n<w:SaveIfXMLInvalid>false<\/w:SaveIfXMLInvalid>\n<w:IgnoreMixedContent>false<\/w:IgnoreMixedContent>\n<w:AlwaysShowPlaceholderText>false<\/w:AlwaysShowPlaceholderText>\n<w:Compatibility>\n<w:BreakWrappedTables \/>\n<w:SnapToGridInCell \/>\n<w:WrapTextWithPunct \/>\n<w:UseAsianBreakRules \/>\n<w:DontGrowAutofit \/>\n<\/w:Compatibility>\n<w:BrowserLevel>MicrosoftInternetExplorer4<\/w:BrowserLevel>\n<\/w:WordDocument>\n<\/xml><![endif]--><!--[if gte mso 9]><xml>\n<w:LatentStyles DefLockedState=\"false\" LatentStyleCount=\"156\">\n<\/w:LatentStyles>\n<\/xml><![endif]--><\/p>\n<style type=\"text\/css\">\n<!--\n \/* Style Definitions *\/\n p.MsoNormal, li.MsoNormal, div.MsoNormal\n\t{mso-style-parent:\"\";\n\tmargin:0cm;\n\tmargin-bottom:.0001pt;\n\tmso-pagination:widow-orphan;\n\tfont-size:12.0pt;\n\tfont-family:\"Times New Roman\";\n\tmso-fareast-font-family:\"Times New Roman\";}\nh1\n\t{mso-margin-top-alt:auto;\n\tmargin-right:0cm;\n\tmso-margin-bottom-alt:auto;\n\tmargin-left:0cm;\n\tmso-pagination:widow-orphan;\n\tmso-outline-level:1;\n\tfont-size:24.0pt;\n\tfont-family:\"Times New Roman\";}\n@page Section1\n\t{size:612.0pt 792.0pt;\n\tmargin:70.85pt 2.0cm 2.0cm 2.0cm;\n\tmso-header-margin:36.0pt;\n\tmso-footer-margin:36.0pt;\n\tmso-paper-source:0;}\ndiv.Section1\n\t{page:Section1;}\n-->\n<\/style>\n<p><!--[if gte mso 10]>\n\n\n<style>\n\/* Style Definitions *\/\ntable.MsoNormalTable\n{mso-style-name:\"Tabella normale\";\nmso-tstyle-rowband-size:0;\nmso-tstyle-colband-size:0;\nmso-style-noshow:yes;\nmso-style-parent:\"\";\nmso-padding-alt:0cm 5.4pt 0cm 5.4pt;\nmso-para-margin:0cm;\nmso-para-margin-bottom:.0001pt;\nmso-pagination:widow-orphan;\nfont-size:10.0pt;\nfont-family:\"Times New Roman\";\nmso-ansi-language:#0400;\nmso-fareast-language:#0400;\nmso-bidi-language:#0400;}\n<\/style>\n\n\n<![endif]--><\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\">Nella (5) P<sub>0<\/sub> e A sono delle costanti ricavabili dai periodi osservati. Questa \u201clegge\u201d \u00e8 applicabile sia al sistema planetario sia ai sistemi di satelliti regolari di Giove, Saturno e Urano (vedi Tabella 2), ma i valori dei periodi non sono proprio identici a quelli osservati, di conseguenza la (5) ha scarsa utilit\u00e0 pratica.<o:p><\/o:p><\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\"><u1:p>\u00a0<\/u1:p><o:p><\/o:p><\/p>\n<table cellspacing=\"0\" cellpadding=\"0\" border=\"0\" class=\"MsoNormalTable\" style=\"border-collapse: collapse;\">\n<tbody>\n<tr style=\"\">\n<td width=\"29\" valign=\"top\" style=\"border: 1pt solid windowtext; padding: 0cm 3.5pt; width: 21.5pt;\">\n<p class=\"MsoNormal\" style=\"text-align: justify;\"><u1:p>\u00a0<\/u1:p><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"180\" valign=\"top\" style=\"border-style: solid solid solid none; border-color: -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0cm 3.5pt; width: 135pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\"><strong>Sole<u1:p><\/u1:p><\/strong><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"144\" valign=\"top\" style=\"border-style: solid solid solid none; border-color: -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0cm 3.5pt; width: 108pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\"><strong>Giove<u1:p><\/u1:p><\/strong><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"156\" valign=\"top\" style=\"border-style: solid solid solid none; border-color: -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0cm 3.5pt; width: 117pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\"><strong>Saturno<u1:p><\/u1:p><\/strong><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"143\" valign=\"top\" style=\"border-style: solid solid solid none; border-color: -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0cm 3.5pt; width: 107.4pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\"><strong>Urano<u1:p><\/u1:p><\/strong><o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"29\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 21.5pt;\">\n<p class=\"MsoNormal\" style=\"text-align: justify;\"><u1:p>\u00a0<\/u1:p><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"180\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 135pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\"><strong><u1:p>\u00a0<\/u1:p><\/strong><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"144\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 108pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\"><strong><u1:p>\u00a0<\/u1:p><\/strong><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"156\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 117pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\"><strong><u1:p>\u00a0<\/u1:p><\/strong><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"143\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 107.4pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\"><strong><u1:p>\u00a0<\/u1:p><\/strong><o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"29\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 21.5pt;\">\n<p class=\"MsoNormal\" style=\"text-align: justify;\">P<sub>0<\/sub><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"180\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 135pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\">0,194 anni<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"144\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 108pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\">0,444 giorni<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"156\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 117pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\">0,462 giorni<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"143\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 107.4pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\">0,904 giorni<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"29\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 21.5pt;\">\n<p class=\"MsoNormal\" style=\"text-align: justify;\">A<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"180\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 135pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\">2,449<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"144\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 108pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\">2,0<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"156\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 117pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\">1,41<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"143\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 107.4pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\">1,73<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<tr style=\"\">\n<td width=\"29\" valign=\"top\" style=\"border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0cm 3.5pt; width: 21.5pt;\">\n<p class=\"MsoNormal\" style=\"text-align: justify;\">n<o:p><\/o:p><\/p>\n<\/td>\n<td width=\"180\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 135pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\">1 (Mercurio), 2 (Venere-Terra), 3 (Marte), 4   (Cerere), 5 (Giove), 6 (Saturno), 7 (Urano), 8 (Nettuno-Plutone)<o:p><\/o:p><\/p>\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\"><u1:p>\u00a0<\/u1:p><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"144\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 108pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\">2 (Io), 3(Europa), 4<o:p><\/o:p><\/p>\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\"><span lang=\"FR\" style=\"\">(Ganimede),   5 (Callisto)<u1:p><\/u1:p><\/span><o:p><\/o:p><\/p>\n<\/td>\n<td width=\"156\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 117pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\"><span lang=\"FR\" style=\"\">1 (Janus),   2 (Mimas), 3 (Enceladus), 4 (Tethys), 5 (Dione), 6 (Rhea), 10 (Titan) <u1:p><\/u1:p><\/span><span lang=\"EN-GB\" style=\"\"><o:p><\/o:p><\/span><\/p>\n<\/td>\n<td width=\"143\" valign=\"top\" style=\"border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0cm 3.5pt; width: 107.4pt;\">\n<p align=\"center\" class=\"MsoNormal\" style=\"text-align: center;\">2 (Miranda), 3 (Ariel), 4 (Umbriel), 5 (Titania), 6   (Oberon)<o:p><\/o:p><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"MsoNormal\" style=\"text-align: justify;\">Tabella 2 \u2013 I valori della formula empirica di Dermott per il Sistema Solare e i sistemi di satelliti regolari di Giove, Saturno e Urano.<o:p><\/o:p><\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\"><u1:p>\u00a0<\/u1:p><o:p><\/o:p><\/p>\n<p><strong>Bibliografia<\/strong><u1:p><\/u1:p><o:p><\/o:p><\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\"><span lang=\"EN-GB\" style=\"\">Dermott S. F., Monthly Notices of the Royal Astronomical Society, Vol. 141, p.363 (1968).<u1:p><\/u1:p><o:p><\/o:p><\/span><\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\"><span lang=\"EN-GB\" style=\"\">Nieto M. M., Astronomy and Astrophysics, Vol. 8, p. 105 (1970)<u1:p><\/u1:p><o:p><\/o:p><\/span><\/p>\n<p class=\"MsoNormal\" style=\"text-align: justify;\">Poveda A., Lara P., Revista Mexicana de Astronom\u00eda y Astrof\u00edsica Vol. 44, p. 243-246 (2008)<o:p><\/o:p><\/p>\n<p>\u00a0<\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\"><u1:p><\/u1:p><\/p>\n<p style=\"text-align: justify;\" class=\"MsoNormal\"><u1:p><\/u1:p><o:p><\/o:p><\/p>\n<p>\u00a0<\/p>\n<p><u1:p><\/u1:p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>[&#8230;]<\/p>\n","protected":false},"author":171,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[],"class_list":["post-3085","post","type-post","status-publish","format-standard","hentry","category-meccanica-celeste"],"_links":{"self":[{"href":"https:\/\/www.vialattea.net\/content\/wp-json\/wp\/v2\/posts\/3085","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vialattea.net\/content\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vialattea.net\/content\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vialattea.net\/content\/wp-json\/wp\/v2\/users\/171"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vialattea.net\/content\/wp-json\/wp\/v2\/comments?post=3085"}],"version-history":[{"count":0,"href":"https:\/\/www.vialattea.net\/content\/wp-json\/wp\/v2\/posts\/3085\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vialattea.net\/content\/wp-json\/wp\/v2\/media?parent=3085"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vialattea.net\/content\/wp-json\/wp\/v2\/categories?post=3085"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vialattea.net\/content\/wp-json\/wp\/v2\/tags?post=3085"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}