Distance between two points using latitude and longitude,
I've spent several days trying to figure this out and can't pinpoint the problems exactly. I have a SQL 2005 database storing latitude and longitude as Decimal (18,8), all of which I got by going to Google.
For these two locations: From: 10715 Downsville Pike Ste 100 MD 21740 to: 444 East College Ave Ste 120 State College PA, 16801
Taking into account that the distance will be "like a crow", my results still remain. In this example, my result says 21.32 miles, but Google Maps says 144 miles.
I think a defeat that makes it even more frustrating, I found this site: http://jan.ucc.nau.edu/~cvm/latlongdist.html and came up with almost the same results as me.
Here's my functions and request:
Functions: CalculateDistance
DECLARE @Temp FLOAT
SET @Temp = SIN(@Latitude1/57.2957795130823) *
SIN(@Latitude2/57.2957795130823) +
COS(@Latitude1/57.2957795130823) * COS(@Latitude2/57.2957795130823) *
COS(@Longitude2/57.2957795130823 - @Longitude1/57.2957795130823)
IF @Temp > 1
SET @Temp = 1
ELSE IF @Temp < -1
SET @Temp = -1
RETURN (3958.75586574 * ACOS(@Temp) )
LatitudePlusDistance
RETURN (SELECT @StartLatitude + SQRT(@Distance * @Distance / 4766.8999155991))
LongitudePlusDistance
RETURN (SELECT @StartLongitude + SQRT(@Distance * @Distance /
(4784.39411916406 *
COS(2 * @StartLatitude / 114.591559026165) *
COS(2 * @StartLatitude / 114.591559026165))))
Query:
DECLARE @Longitude DECIMAL(18,8),
@Latitude DECIMAL(18,8),
@MinLongitude DECIMAL(18,8),
@MaxLongitude DECIMAL(18,8),
@MinLatitude DECIMAL(18,8),
@MaxLatitude DECIMAL(18,8),
@WithinMiles DECIMAL(2)
Set @Latitude = -77.856052
Set @Longitude = 40.799159
Set @WithinMiles = 50
-- Calculate the Max Lat/Long
SELECT @MaxLongitude = dbo.LongitudePlusDistance(@Longitude, @Latitude,
@WithinMiles),
@MaxLatitude = dbo.LatitudePlusDistance(@Latitude, @WithinMiles)
-- Calculate the min lat/long
SELECT @MinLatitude = 2 * @Latitude - @MaxLatitude,
@MinLongitude = 2 * @Longitude - @MaxLongitude
SELECT Top 20 *, dbo.CalculateDistance(@Longitude, @Latitude,
LocationLongitude, LocationLatitude) as 'Distance'
FROM Location
WHERE LocationLongitude Between @MinLongitude And @MaxLongitude
And LocationLatitude Between @MinLatitude And @MaxLatitude
And dbo.CalculateDistance(@Longitude, @Latitude, LocationLongitude,
LocationLatitude) <= @WithinMiles
ORDER BY dbo.CalculateDistance(@Longitude, @Latitude, LocationLongitude,
LocationLatitude)
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Why are you returning @Temp to 1 or -1 in the CalculateDistance function?
Update . Okay, ignore the above. Are you sure your latitude / longitude is correct? I figured out the following using geocoder.us :
10715 Downsville Pike Ste 100, 21740 returns (39.607483, -77.753747)
444 E College Ave Ste 120, 16801 returns (39.607483, -77.753747)
Using your formulas (rounded to 6 digits after the decimal point, since the precision came back higher), you get this:
sin(39.607483/57.295779) * sin(40.798594/57.295779)
+ cos(39.607483/57.295779) * cos(40.798594/57.295779)
* cos(77.753747/57.295779 - 77.856110/57.295779) = 0.99978299
3958.75586574 * arccos(0.99978299) = 82.4748331
which seems reasonable.
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