利用Jacobi多項(xiàng)式計(jì)算傾角函數(shù)
發(fā)布時(shí)間:2017-12-30 19:09
本文關(guān)鍵詞:利用Jacobi多項(xiàng)式計(jì)算傾角函數(shù) 出處:《天文學(xué)報(bào)》2013年01期 論文類型:期刊論文
更多相關(guān)文章: 天體力學(xué) 方法 數(shù)值
【摘要】:研究了一種利用Jacobi多項(xiàng)式計(jì)算傾角函數(shù)的方法,該方法表達(dá)式非常簡單,不存在k和l是否同奇偶和計(jì)算非整數(shù)階乘的問題,也不存在k0和k≥0的轉(zhuǎn)換問題,遞推公式可使用標(biāo)準(zhǔn)的Jacobi多項(xiàng)式的遞推公式.而且,計(jì)算精度和適應(yīng)階數(shù)可與Gooding方法相當(dāng),計(jì)算時(shí)間比Gooding方法省9%.
[Abstract]:In this paper, a method of calculating dip function by using Jacobi polynomials is studied. The expression of this method is very simple, and there is no problem of whether k and l are the same as odd and even and calculate non-integer factorial. There is no conversion problem between k 0 and k 鈮,
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