分段累加法大地主题解算及高斯投影

大地测量编程实习报告班号：XXXX 学号：XXXXXXXXXX 姓名：XXX大地主题解算（分段累加法正算）结果截图：主要代码：privatevoid button1_Click(object sender, EventArgs e){double bx, by, bz, B1, lx, ly, lz, L1, ax, ay, az, A1, S;double dB, dL;double e2 = 0.006693421622966, a = 6378245.0000000000;double M, N, W, C;double B2 = 0, L2 = 0, A2 = 0;int Bx, By, Lx, Ly, Ax, Ay;double Bz, Lz, Az;bx = Convert.ToDouble(du1.Text); by = Convert.ToDouble(fen1.Text); bz = Convert.ToDouble(miao1.Text);lx = Convert.ToDouble(du2.Text); ly = Convert.ToDouble(fen2.Text); lz = Convert.ToDouble(miao2.Text); ax = Convert.ToDouble(du3.Text); ay = Convert.ToDouble(fen3.Text); az = Convert.ToDouble(miao3.Text); S = Convert.ToDouble(m.Text);double PI = Math.PI;B1 = (bx + by / 60 + bz / 3600) * PI / 180;L1 = (lx + ly / 60 + lz / 3600) * PI / 180;A1 = (ax + ay / 60 + az / 3600) * PI / 180;W = Math.Sqrt(1 - e2 * (Math.Sin(B1) * Math.Sin(B1)));M = a * (1 - e2) / (W * W * W);N = a / W;C = N * Math.Cos(B1) * Math.Sin(A1);int n ,i; double s;n = (int)(S / 4000 + 1);s = S / n;for (i = 1; i <= n; i++){dB = Math.Cos(A1) * s / M;dL = Math.Sin(A1) * s / N / Math.Cos(B1);B2 = B1 + dB;L2 = L1 + dL;W = Math.Sqrt(1 - e2 * (Math.Sin(B2) * Math.Sin(B2)));M = a * (1 - e2) / (W * W * W);N = a / W;A2 = Math.Asin(C / N / Math.Cos(B2));B1 = B2; L1 = L2; A1 = A2;}Bx =(int)( B2 / PI * 180);By = (int)((B2 / PI * 180 - Bx) * 60);Bz = Math.Abs(((B2 / PI * 180 - Bx) * 60 - By) * 60);By = Math.Abs(By);Lx = (int)(L2 / PI * 180);Ly = (int)((L2 / PI * 180 - Lx) * 60);Lz = Math.Abs(((L2 / PI * 180 - Lx) * 60 - Ly) * 60);Ly = Math.Abs(Ly);Ax = (int)(A2 / PI * 180);Ay = (int)((A2 / PI * 180 - Ax) * 60);Az = Math.Abs(((A2 / PI * 180 - Ax) * 60 - Ay) * 60);Ay = Math.Abs(Ay);du4.Text = Bx.ToString(); fen4.Text = By.ToString(); miao4.Text = Bz.ToString("0.0000"); du5.Text = Lx.ToString(); fen5.Text = Ly.ToString(); miao5.Text = Lz.ToString("0.0000"); du6.Text = Ax.ToString(); fen6.Text = Ay.ToString(); miao6.Text = Az.ToString("0.0000"); }高斯投影正、反算结果截图：正算：反算：主要代码：正算：privatevoid button1_Click(object sender, EventArgs e){double a = 0 , e12 = 0, e2 = 0;double PI = Math.PI;string tt;try{tt = boBox1.Items[boBox1.SelectedIndex].ToString();}catch{MessageBox.Show("请选择坐标系！"); return;}if (pareTo("1954年北京坐标系") == 0){a = 6378245;e2 = 0.006693421622966;e12 = 0.006738525414683;}if (pareTo("1980年国家大地坐标系") == 0){a = 6378140;e2 = 0.006694384999588;e12 = 0.006739501819473;}if (pareTo("WGS-84") == 0){a = 6378137;e2 = 0.00669437999013;e12 = 0.00673949674227;}if (pareTo("CGCS2000") == 0){a = 6378137;e2 = 0.00669438002290;e12 = 0.00673949677548;}double m0, m2, m4, m6, m8, a0, a2, a4, a6, a8, N, B, L, X, Bb, cosB ,sinB , ρ, η2, t, l, d, x, y;B = Convert.ToDouble(du1.Text) + (Convert.ToDouble(fen1.Text) / 60) + (Convert.ToDouble(miao1.Text) / 3600); L = Convert.ToDouble(du2.Text) + (Convert.ToDouble(fen2.Text) / 60) +(Convert.ToDouble(miao2.Text) / 3600);Bb = B * PI / 180;m0 = a * (1 - e2);m2 = 3 * e2 * m0 / 2;m4 = 5 * e2 * m2 / 4;m6 = 7 * e2 * m4 / 6;m8 = 9 * e2 * m6 / 8;a0 = m0 + (m2 / 2) + ((3 * m4) / 8) + ((5 * m6) / 16) + ((35 * m8) / 128);a2 = m2 / 2 + m4 / 2 + 15 * m6 / 32 + 7 * m8 / 16;a4 = m4 / 8 + 3 * m6 / 16 + 7 * m8 / 32;a6 = m6 / 32 + m8 / 16;a8 = m8 / 128;ρ = 180 * 3600 / PI;cosB = Math.Cos(Bb);sinB = Math.Sin(Bb);η2 = e12 * cosB * cosB;t = Math.Tan(Bb);d = Math.Floor(L / 6) + 1;l = Math.Abs(L - (6 * d - 3)) * 3600;N = a / Math.Sqrt(1 - e2 * sinB * sinB);X = a0 * Bb - sinB * cosB * ((a2 - a4 + a6) + (2 * a4 - 16 * a6 / 3) * sinB * sinB + 16 * a6 * sinB * sinB * sinB * sinB / 3);x = X + N * sinB * cosB * l * l / (2 * ρ * ρ) + N * sinB * cosB * cosB * cosB * (5 - t * t + 9 * η2) * l * l * l * l / (24 * ρ * ρ * ρ * ρ) + N * sinB * cosB * cosB * cosB * cosB * cosB * (61 - 58 * t * t + t * t * t * t) * l * l * l * l * l * l / (720 * ρ * ρ * ρ * ρ * ρ * ρ);y = N * cosB * l / ρ + N * cosB * cosB * cosB * (1 - t * t + η2) * l * l * l / (6 * ρ * ρ* ρ)+ N * cosB * cosB * cosB * cosB * cosB * (5 - 18 * t * t + t * t * t * t) * l * l * l * l * l/ (120 * ρ * ρ * ρ * ρ * ρ);x1.Text = x.ToString("0.0000")+"m";y1.Text = y.ToString("0.0000")+"m";}反算：privatevoid button2_Click(object sender, EventArgs e){double a = 0, e12 = 0, e2 = 0;double PI = Math.PI;string tt;try{tt = boBox2.Items[boBox2.SelectedIndex].ToString();}catch{MessageBox.Show("请选择坐标系！"); return;}if (pareTo("1954年北京坐标系") == 0){a = 6378245;e2 = 0.006693421622966;e12 = 0.006738525414683;}if (pareTo("1980年国家大地坐标系") == 0){a = 6378140;e2 = 0.006694384999588;e12 = 0.006739501819473;}if (pareTo("WGS-84") == 0){a = 6378137;e2 = 0.00669437999013;e12 = 0.00673949674227;}if (pareTo("CGCS2000") == 0){a = 6378137;e2 = 0.00669438002290;e12 = 0.00673949677548;}double x, y, m0, m2, m4, m6, m8, a0, a2, a4, a6, a8, Bf, Bf1, B , Mf , W, Nf, tf, ηf2, n2, n4, n6, n8 , l;x = Convert.ToDouble(x2.Text);y = Convert.ToDouble(y2.Text);m0 = a * (1 - e2);m2 = 3 * e2 * m0 / 2;m4 = 5 * e2 * m2 / 4;m6 = 7 * e2 * m4 / 6;m8 = 9 * e2 * m6 / 8;a0 = m0 + (m2 / 2) + ((3 * m4) / 8) + ((5 * m6) / 16) + ((35 * m8) / 128);a2 = m2 / 2 + m4 / 2 + 15 * m6 / 32 + 7 * m8 / 16;a4 = m4 / 8 + 3 * m6 / 16 + 7 * m8 / 32;a6 = m6 / 32 + m8 / 16;a8 = m8 / 128;Bf1 = 0;Bf = x / a0;while (Math.Abs(Bf - Bf1) > 1E-10){Bf1 = Bf;double sinB = Math.Sin(Bf1);double cosB = Math.Cos(Bf1);double sin2B = sinB * cosB * 2;double sin4B = sin2B * (1 - 2 * sinB * sinB) * 2;double sin6B = sin2B * Math.Sqrt(1 - sin4B * sin4B) + sin4B * Math.Sqrt(1 - sin2B * sin2B);Bf = (x - (-a2 / 2.0 * sin2B + a4 / 4.0 * sin4B - a6 / 6.0 * sin6B)) / a0;}double sinBf = Math.Sin(Bf);double cosBf = Math.Cos(Bf);ηf2 = e12 * cosBf * cosBf;tf = Math.Tan(Bf);W = Math.Sqrt(1 - e2 * sinBf * sinBf);Mf = a * (1 - e2) / (W * W * W);Nf = a / W;B = Bf - tf * y * y / (2 * Mf * Nf) + tf * (5 + 3 * tf * tf + ηf2 - 9 * ηf2 * tf * tf) * y * y * y * y / (24 * Mf * Nf * Nf * Nf) - tf * (61 + 90 * tf * tf + 45 * tf * tf * tf * tf) * y * y * y * y * y * y / (720 * Mf * Nf * Nf * Nf * Nf * Nf);l = y / (Nf * cosBf) - (1 + 2 * tf * tf + ηf2) * y * y * y / (6 * Nf * Nf * Nf * cosBf) + (5 + 28 * tf * tf + 24 * tf * tf * tf * tf + 6 * ηf2 + 8 * ηf2 * tf * tf) * y * y * y * y * y / (120 * Nf * Nf * Nf * Nf * Nf * cosBf);int Bx, By, lx, ly;double Bz, lz;Bx = (int)(B / PI * 180);By = (int)((B / PI * 180 - Bx) * 60);Bz = Math.Abs(((B / PI * 180 - Bx) * 60 - By) * 60);By = Math.Abs(By);lx = (int)(l / PI * 180);ly = (int)((l / PI * 180 - lx) * 60);lz = Math.Abs(((l / PI * 180 - lx) * 60 - ly) * 60);ly = Math.Abs(ly);du3.Text = Bx.ToString();fen3.Text = By.ToString();miao3.Text = Bz.ToString("0.0000");du4.Text = lx.ToString(); fen4.Text = ly.ToString();miao4.Text = lz.ToString("0.0000");}。