地球引力模型程序代码精要.doc

模型地球内部引力图 地球模型计算的引力外地核处引力最大,外地核向内或向外均在减小，从地核核心区处逃离地球引力需要能量为W=3.822MgR,由于不均匀分布，势能增加了0.5MgR 实际引力为分层球体的引力标准线叠加的结果。 如果地球模型不错我们完全可以根据分层密度计算它的内引力图 半径R 密度 1 2.75 0.99482 3.4 0.846178 5.35 0.544812 10.7 0.262282 12.3 0.194318 12.5 R/N 分层密度 1 2.75 1.005207 0.65 1.181784 1.95 1.835496 5.35 3.81269 1.6 5.146204 0.2 把密度确定以后，我们再把密度分层，先按最小密度绘制大圆图，再 把第二层密度减去第一层后绘图，如此循环，画到地核，再把所有值叠加起来，就是模型引力图了。。如果模型不错，那么地球的实际引力就会和所画图一样。 当然还必须要用到内部引力公式 AUTOcadvba模型程序代码 Sub 地球引力模型() Dim ml As Object Dim a As Variant, a1 As Variant, a2 As Variant, a3 As Variant, a4 As Variant Dim v As Variant, v1 As Variant, v2 As Variant, v3 As Variant, v4 As Variant, v5 As Variant Dim U As Variant, U1 As Variant, U2 As Variant, U3 As Variant, U4 As Variant Dim co As Variant co = 3 Dim p(0 To 20001) As Double Dim i As Integer Dim J As Variant a = 1.00520697211556: a1 = 1.18178444724396: a2 = 1.8354955470878: a3 = 3.81269015792163: a4 = 5.14620364557066 b = 0.236363636363636: b1 = 0.709090909090909: b2 = 1.94545454545455: b3 = 0.581818181818182: b4 = 7.27272727272727E-02 For i = 0 To 10000 Step 2 v = i / 1000: v1 = v * a: v2 = v * a1: v3 = v * a2: v4 = v * a3: v5 = v * a4 p(i) = i If v1 = 1 Then U = 750 * b * (1 + v1 * 2 - (1 - v1 ^ 2 + (v1 ^ 4) / 3) / (1 + (1 - v1 ^ 2) ^ 1.5)) / a ElseIf v1 1 And v1 = a Then U = 500 * b * a ^ -3 / v ^ 2 ElseIf v1 a Then U3 = 0 End If If v2 = 1 Then U1 = 750 * b1 * (1 + v2 * 2 - (1 - v2 ^ 2 + (v2 ^ 4) / 3) / (1 + (1 - v2 ^ 2) ^ 1.5)) / a1 ElseIf v2 1 And v2 = a1 Then U1 = 500 * b1 * a1 ^ -3 / v ^ 2 ElseIf v2 a1 Then U3 = 0 End If If v3 = 1 Then U2 = 750 * b2 * (1 + v3 * 2 - (1 - v3 ^ 2 + (v3 ^ 4) / 3) / (1 + (1 - v3 ^ 2) ^ 1.5)) / a2 ElseIf v3 1 And v3 = a2 Then U2 = 500 * b2 * a2 ^ -3 / v ^ 2 ElseIf v3 a2 Then U2 = 0 End If If v4 = 1 Then U3 = 750 * b3 * (1 + v4 * 2 - (1 - v4 ^ 2 + (v4 ^ 4) / 3) / (1 + (1 - v4 ^ 2) ^ 1.5)) / a3 ElseIf v4 1