高斯投影的长度比和长度变形计算

Sheet1 投影点横坐标Y 投影点椭球曲率半径R（m） 平面坐标 表 关于同志近三年现实表现材料材料类招标技术评分表图表与交易pdf视力表打印pdf用图表说话 pdf 示投影长度比m 大地坐标表示投影长度比m 平面坐标变形值（m） 大地坐标变形值（m） 368740.1288 6378140 1.000212 0.212 368695.6811 1.000212 0.212 367640.5500 加常数m 1.000215 0.215 368346.0811 500000 1.000213 0.213 370258.0771 1.000207 0.207 370848.5755 1.000205 0.205 371928.0660 1.000202 0.202 372560.9839 1.000200 0.200 371404.6784 1.000203 0.203 372273.8186 1.000201 0.201 370860.8824 1.000205 0.205 370363.3139 1.000207 0.207 370425.6292 1.000206 0.206 366341.7126 1.000220 0.220 368120.6996 1.000214 0.214 366452.5549 1.000219 0.219 367217.8375 1.000217 0.217 365393.1103 1.000223 0.223 364146.4239 1.000227 0.227 364610.8876 1.000225 0.225 365575.8977 1.000222 0.222 365684.1096 1.000222 0.222 366851.8633 1.000218 0.218 投影于1954年北京坐标系椭球面上的高斯正形投影长度比m为：m=1+Y2÷2R2+Y4÷24R4=1.000042058（取GPS125的Y=441502.102-500000坐标值计算），式中Y为投影点的横坐标，R为该点处椭球平均曲率半径，取R=6378245m。即在该区域投影每千米变形值为：s=（m-1）×1000=0.000042058=0.042米。 367617.7866 1.000215 0.215 369237.6091 1.000210 0.210 363088.8078 1.000230 0.230 363789.0801 1.000228 0.228 364476.5368 1.000226 0.226 362044.0022 1.000234 0.234 361201.5667 1.000237 0.237 362466.4175 1.000232 0.232 362950.5868 1.000231 0.231 362754.1640 1.000232 0.232 361779.1502 1.000235 0.235 360883.3760 1.000238 0.238 360690.8230 1.000239 0.239 361532.5474 1.000236 0.236 365791.5997 1.000221 0.221 369855.6894 1.000208 0.208 369933.6731 1.000208 0.208 366097.1474 1.000220 0.220 369638.2500 1.000209 0.209 374308.0522 1.000194 0.194 371500.8522 1.000203 0.203 366158.2689 1.000220 0.220 363933.0030 1.000228 0.228 367904.4089 1.000214 0.214 371088.3994 1.000204 0.204 367944.4500 1.000214 0.214 364262.9550 1.000226 0.226 364565.6687 1.000225 0.225 360953.4814 1.000238 0.238 361381.1439 1.000236 0.236 360238.8127 1.000240 0.240 362558.1405 1.000232 0.232 370039.9240 1.000208 0.208 367978.6978 1.000214 0.214 367246.1507 1.000217 0.217 367079.4774 1.000217 0.217 368594.0251 1.000212 0.212 368518.7366 1.000212 0.212 365034.3681 1.000224 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