I need to find possible values of latitude and longitude around a geometric position( with known distance )

Question

How to find [ latx1 , lonx1 ] , [ latx2 , lonx2 ] , [ latx3 , lonx3 ] , [ latx4 , lonx4 ] using lat1 , lon1 and d from the image. ( lat1 and lon1 are in degre and d in Km )

OR

This is the equation for finding the distance between 2 points in earth surface.

R = 6371; // Radious of earth.

lat1 , lon1 -> latitude and longitude of first point ( in degree )

lat2 , lon2 -> latitude and longitude of second point ( in degree )

d - > distance b/w the two points ( in Km)

Equation

dLat = (lat2-lat1)* (PI/180);

dLon = (lon2-lon1)* (PI/180);

a = sin(dLat/2) * sin(dLat/2) + cos((lat1)* (PI/180)) * cos((lat2)* (PI/180)) * sin(dLon/2) * sin(dLon/2) ;

d = R * 2 * atan2( sqrt(a), sqrt(1-a));

In tins equation lat1 , lon1 , d are known

I needed to find the possible values of lat2 and lon2. [ at least ( latx1 , lonx1 ) , ( latx2 , lonx2 ) , ( latx3 , lonx3 ) , ( latx4 , lonx4 ) ]

Sorry for bad English.

There are infinite possibilities for `lat2` and `lon2`. Are you sure that's what you want to find? — Brad, Nov 17 '13 at 15:33
I don't need all of them. I just need ( latx1 , lonx1 ), ( latx2 , lonx2 ), ( latx3 , lonx3 ), ( latx4 , lonx4 ) — Arjun Raj, Nov 17 '13 at 15:41
Oh, you need to know the lat/lon at 0 degrees, 90 degrees, 180 degrees, and 270 degrees? — Brad, Nov 17 '13 at 15:56
You might better ask this on http://math.stackexchange.com or maybe on http://gis.stackexchange.com. — TLama, Nov 25 '13 at 00:30
http://math.stackexchange.com/questions/570486/i-need-to-find-possible-values-of-latitude-and-longitude-around-a-geometric-posi — Arjun Raj, Nov 28 '13 at 08:05

score 0 · Answer 1 · edited May 23 '17 at 10:29

AFAIK for most usages, we're only interested in creating a test to see whether a given geo coordinate falls in the range (your circle). (For example to be able to answer questions like "Is there a restaurant in 5 kms?" etc.) For this purpose, we already have several possibilities:

etc.

BTW, Brad is right. In the circle, there are infinite number of geo points in the same way as between any two integers (which aren't the same) you will find an infinite range of numbers etc.

I'm not checking whether a geo-point with in a range. I just need that four co-ordinates ( latx1 , lonx1 ), ( latx2 , lonx2 ), ( latx3 , lonx3 ), ( latx4 , lonx4 ). — Arjun Raj, Nov 17 '13 at 15:57

I need to find possible values of latitude and longitude around a geometric position( with known distance )

1 Answers1