b'\n_START_ARTICLE_\nKeplera likumi\n_START_PARAGRAPH_\nKeplera likumi ir v\xc4\x81cu astronoma Johannesa Keplera atklat\xc4\x81s likumsakar\xc4\xabbas, kas apraksta plan\xc4\x93tu kust\xc4\xabbu ap zvaigzni.\n_START_SECTION_\nKeplera pirmais likums (elipses likums)\n_START_PARAGRAPH_\nPlan\xc4\x93ta kustas ap zvaigzni pa elipsi, kuras vien\xc4\x81 fokus\xc4\x81 atrodas zvaigzne.\n_START_SECTION_\nKeplera otrais likums (vien\xc4\x81do laukumu likums)\n_START_PARAGRAPH_\nPlan\xc4\x93tas sav\xc4\x81 kust\xc4\xabb\xc4\x81 ap Sauli p\xc4\x81rvietojas t\xc4\x81, ka vien\xc4\x81dos laika spr\xc4\xab\xc5\xbeos to r\xc4\x81diusvektori (vektors no Saules masas centra l\xc4\xabdz plan\xc4\x93tas masas centram) p\xc4\x81rkl\xc4\x81j vien\xc4\x81dus laukumus orb\xc4\xabtas plakn\xc4\x93.\n_START_SECTION_\nKeplera tre\xc5\xa1ais likums (harmonijas likums)\n_START_PARAGRAPH_\nDivu plan\xc4\x93tu apri\xc5\x86\xc4\xb7o\xc5\xa1anas periodu kvadr\xc4\x81ti attiecas t\xc4\x81pat k\xc4\x81 to orb\xc4\xabtu lielo pusasu kubi._NEWLINE_\\frac{T_1^2}{T_2^2} = \\frac{a_1^3}{a_2^3}, kur T_1 un T_2 \xe2\x80\x94 divu plan\xc4\x93tu apri\xc5\x86\xc4\xb7o\xc5\xa1anas periodi ap Sauli, a_1 un a_2 \xe2\x80\x94 to orb\xc4\xabtu lielo pusasu garumi.'