地球引力模型程序代碼

1、模型地球內(nèi)部引力圖地球模型計算的引力外地核處引力最大，外地核向內(nèi)或向外均在減小，從地核核心區(qū)處逃離地球引力需要能量為W=3.822MgR,由于不均勻分布，勢能增加了 0.5MgR 實際引力為分層球體的引力標準線疊加的結(jié)果。4. 472g2. 96g2. 74g2. 500g2. 494gL 148g如果地球模型不錯我們完全可以根據(jù)分層密度計算它的內(nèi) 引力圖半徑 R1密度2.750.994823.40.8461785.350.54481210.70.26228212.30.19431812.5R/N分層密度12.751.0052070.651.1817841.951.8354965.353.81

2、2691.65.1462040.2把密度確定以后，我們再把密度分層，先按最小密度繪制大圓圖，再把第二層密度減去第一層后繪圖，如此循環(huán)，畫到地核，再把所有值疊加起來，就是模型引力圖了。如果模型不錯，那么地球的實際引力就會和所畫圖一樣。當然還必須要用到內(nèi)部引力公g(a)3MG2R22aa2a43g0 1 2a1a2(1 a2)2(1a2)? 1a sin , Rsin為質(zhì)點到球心的距離,g。為地表重力加速度AUTOcadvba模型程序代碼Sub地球引力模型()Dim ml As ObjectDim a As Variant, a1 As Variant, a2 As Variant, a3 As

3、Variant, a4 AsVaria ntDim v As Variant, v1 As Variant, v2 As Variant, v3 As Variant, v4 AsVaria nt, v5 As Varia ntDim U As Variant, U1 As Variant, U2 As Variant, U3 As Variant, U4 AsVaria ntDim co As Varia ntco = 3Dim p(0 To 20001) As DoubleDim i As In tegerDim J As Varia ntb =0.236363636363636: b1

4、=0.709090909090909: b2 =1.94545454545455: b3 b4 = 7.27272727272727E-02 For i = 0 To 10000 Step 2v = i / 1000: v1 = v * a: v2 = v * a1: v3 = v * a2: v4 = v * a3: v5 = v * a4p(i) = iIf v1 1 And v1 a ThenU3 = 0End IfIf v2 1 And v2 a1 ThenU3 = 0End IfIf v3 1 And v3 a2 ThenU2 = 0End IfIf v4 1 And v4 a3 ThenU3 = 0End IfIf v5 1 And v5 a4 ThenU4 = 0End IfIf v = 1 Thenp(i + 1) = 750 * (1 + v * 2 - (1 - v 八 2 + (v 八 4) / 3) / (1 + (1 - v 八 2)八1.5) + U + U1 + U2 + U3 + U4Elsep(i + 1) = 500 * (1 + b * a 八-3 + b1 * a1 八-3 + b2 * a2 八-3 + b3 * a3八-3 + b4 * a4 八-3) / v 八 2End IfNext iSet ml = Th