如何找到经纬度 [英] How to find latitude and longitude

问题描述

我有一个点的经度和纬度，我必须从距已知点的相对距离中找出另一个点的经度和纬度，例如点A的某个位置具有经度和纬度.从A点向南移动1000m，向西移动500m后的经度.是否有直接方程式可找到该经度?预先感谢

I have latitude and longitude of a point.I have to find out the latitude and longitude of another point from a relative distance from the known point.For example point A has some location with latitude and longitude.What is the latitude and longitude after moving 1000m south and 500m west from point A.Is there any direct equation to find this? Thanks in advance

推荐答案

代替查找方程式，您可以按如下方式进行计算.令R为地球的半径.假设a为当前纬度，并且b为当前经度.然后，如果您向东移动δx米(西向为负)，然后向南移动δy米，则可以按以下步骤计算新的经度.

Instead of looking up an equation you can calculate as follows. Let R be the radius of the Earth. Let a be the current latitude and b be the current longitude. Then if you move δx metres east (negative for west) then δy metres south, calculating the new longitude can be done as follows.

在当前纬度下将水平面与地球相交会得到一个半径为R*cos(a)的圆.因此，将δx转换为经度变化，您会得到类似

Intersecting a horizontal plane with the Earth at the current latitude will give you a circle of radius R*cos(a). So to convert δx to the change in longitude, you get something like

δlong = δx * 2π / (2π * R * cos(a)) = δx / (R * cos (a))

纬度更改更容易，因为它不依赖于当前位置.您总是绕着两个极点绕着一个大圆圈运动.然后δlat = δy / R. (当然，您有时需要通过2 π进行修改).

The change in latitude is easier, since it doesn't depend on the current position. You're always moving around a great circle through the two poles. Then δlat = δy / R. (Of course you need to mod out by 2 π at some point).

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