MUODILAI KEPLER

MUODILAI KEPLER, muodilai transsendentiero guyand, ki namudash u — s sin u = kh ast. Tadqiqi Muodilai Kepler hangomi |s| < 1 budan baso muhim ast. In holat ba mavride muvofiq V meoyad, ki u az rui e va 1« dodashuda tanho yak karat muayyan karda meshavad. Muodilai mazkurro bori avval I. Kepler (1609) hangomi muoinai masalai zerin insho kardaast: dar diametrn AV-i nimdavrai AOVM nuqtai D mavjud ast; khati DM boyad tavre guzaronda shavad, ki on masohati nimdavraro ba nisbati ma­lum taqsim kunad (rasm). Muodilai Kepler hangomi muayyan kardani elementhoi madori ellipsii sayyoraho roli mu­him bozidand. Dar mekhanikai osmoni muodilai mazkurro odatan chunin menavisand:

E — e sin E « M,

in jo e — ekssentrisateti ellips. M — anomaliyai miyona, E — anoma­liyai ekssentri. J. Lagranj (1771), P. Laplas (1823), F. Bessel (1816— 17), K. Gauss (1809) va digar niz Muodilai Keplerro tadqiq kardaand.