How to find center point of two latitude longitude?

Question

I have two latitude, longitude, now how i can find the center latitude,longitude of that two latitude longitude. Can anybody help me?

This is quite simple just add the both lat and divide by 2 and similar to longitude add both and divide by 2. — Code Lღver, Mar 21 '13 at 11:06
You can use search for example ;) [answer](http://stackoverflow.com/questions/11682164/find-center-geopoint-between-start-geo-point-and-end-geo-point-on-android) — Denis O., Mar 21 '13 at 11:06

score 3 · Answer 1 · edited May 23 '17 at 11:57

3

Define what is 'center' for you. Mostly, i use simple average. Better solution is to compute two vectors (from center of the earth), add them and normalize result. Calculate the center point of multiple latitude/longitude coordinate pairs

edited May 23 '17 at 11:57

Community

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answered Mar 21 '13 at 11:06

user2183861

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score 2 · Answer 2 · answered Mar 21 '13 at 11:16

Also, be careful about longitudes. The midpoint between two points at 170° E and 170° W should be at 180° E (or W), but you may end up with 0° E.

Download Map Projections: A Working Manual, by John P. Snyder, from the USGS. http://pubs.er.usgs.gov/publication/pp1395. It's free.

score 1 · Answer 3 · answered Mar 21 '13 at 11:12

1

Convert your latitudes and longitudes to radians, then

$deltaLongitude = $endPointLongitude - $startPointlongitude;

$xModified = cos($endPointLatitude) * cos($deltaLongitude);
$yModified = cos($endPointLatitude) * sin($deltaLongitude);

$midpointLatitude = atan2(
    sin($startPointlatitude) + sin($endPointLatitude),
    sqrt((cos($startPointLatitude) + $xModified) * (cos($startPointLatitude) + $xModified) + 
         $yModified * $yModified
    )
);
$midpointLongitude = $startPointLongitude +
    atan2($yModified, 
        cos($startPointLatitude) + $xModified
    );

answered Mar 21 '13 at 11:12

Mark Baker

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Clearly I'm wrong from the downvote: anybody care to explain so that __I__ can learn from the gurus as well – Mark Baker Mar 21 '13 at 11:15
+1 for having a stab at it. I think (without trying to get a headache) it is down to Riemannian circle - Now the heady duty maths come into play. – Ed Heal Mar 21 '13 at 11:23
Thanks, looks like more reading (and heavy math) – Mark Baker Mar 21 '13 at 11:26
Here is a reference http://en.wikipedia.org/wiki/Great_circles – Ed Heal Mar 21 '13 at 11:49

How to find center point of two latitude longitude?

3 Answers3