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我一直在尝试找出两个纬度坐标之间的方位,但无法理解这个概念。

我去过http://www.movable-type.co.uk/scripts/latlong.html并且已经能够更改为使用 lua 的距离代码,但是下面段落中的轴承代码让我有点困惑.

local y = Math.sin(dLon) * Math.cos(lat2)
local x = Math.cos(lat1)*Math.sin(lat2) - Math.sin(lat1)*Math.cos(lat2)*Math.cos(dLon)
local brng = Math.atan2(y, x).toDeg()

变量(lat1、lat2、dLon)的命名让我感到困惑。

如果我最初的纬度是:

纬度 = -33.8830555556 经度 = 151.216666667

我的目的地纬度和经度是:

纬度 = 22.25 经度 = 114.1667

哪些变量需要与哪个纬度和经度相匹配?

dLon 变量是指纵向两点之间的距离吗?

非常感谢!

4

3 回答 3

3

根据 JavaScript 代码,lat1是起始点lat2的纬度, 是目的地点的纬度。

请注意,所有纬度和经度必须以弧度表示;用于math.rad()转换。

Lua 中的数学库也被称为math,而不是Math.

于 2013-08-29T00:19:12.080 回答
1

试试这个

local function geo_distance(lat1, lon1, lat2, lon2)
  if lat1 == nil or lon1 == nil or lat2 == nil or lon2 == nil then
    return nil
  end
  local dlat = math.rad(lat2-lat1)
  local dlon = math.rad(lon2-lon1)
  local sin_dlat = math.sin(dlat/2)
  local sin_dlon = math.sin(dlon/2)
  local a = sin_dlat * sin_dlat + math.cos(math.rad(lat1)) * math.cos(math.rad(lat2)) * sin_dlon * sin_dlon
  local c = 2 * math.atan2(math.sqrt(a), math.sqrt(1-a))
  -- 6378 km is the earth's radius at the equator.
  -- 6357 km would be the radius at the poles (earth isn't a perfect circle).
  -- Thus, high latitude distances will be slightly overestimated
  -- To get miles, use 3963 as the constant (equator again)
  local d = 6378 * c
  return d
end

输入坐标以度为单位,所以 geo_distance(30.19, 71.51, 31.33, 74.21) = ~287km

于 2014-01-17T19:07:10.520 回答
0

这是我制作并完美运行的功能。在 X-Plane 飞行模拟器中经过严格测试。最后是地球半径除以 1852,因此该函数将距离返回到海里。

function GC_distance_calc(lat1, lon1, lat2, lon2)

--This function returns great circle distance between 2 points.
--Found here: http://bluemm.blogspot.gr/2007/01/excel-formula-to-calculate-distance.html
--lat1, lon1 = the coords from start position (or aircraft's) / lat2, lon2 coords of the target waypoint.
--6371km is the mean radius of earth in meters. Since X-Plane uses 6378 km as radius, which does not makes a big difference,
--(about 5 NM at 6000 NM), we are going to use the same.
--Other formulas I've tested, seem to break when latitudes are in different hemisphere (west-east).

local distance = math.acos(math.cos(math.rad(90-lat1))*math.cos(math.rad(90-lat2))+
    math.sin(math.rad(90-lat1))*math.sin(math.rad(90-lat2))*math.cos(math.rad(lon1-lon2))) * (6378000/1852)

return distance

end
于 2018-07-20T17:59:40.263 回答