[OpenMap Users] Determining the lat / long coordinates of a point that is a known distance from a known other point?

From: Esposito, Christopher <christopher.esposito_at_boeing.com>
Date: Fri, 11 Aug 2006 11:31:07 -0700

Hello, All-
        I have the coordinates of 2 points Lat1, Long1 (which represent
a sensor) and Lat2, Long2 (which represent a target. The sensor has a
field of view of 30 degrees, and we currently assume that the target is
centered in the sensors' field. What I would like to do is construct and
draw a triangle (an OMPoly) with the sensor location at the apex of the
triangle and the target location at the center of the base, so that a
line from sensor to target bisects the triangle.

1) If this triangle was in Euclidean geometry, then the distance between
the two points and the known angle (15 degrees) between the hypotenuse
and the bisection line from sensor to target, plus a bit of
trigonometry, would allow me to calculate the distance between the
target location at the midpoint of the base and the other 2 corners of
the triangle at either end of the base.

2) The spherical_distance method in the GreatCircle class seems to me to
be the right method for calculating the distance between the two points
on a sphere (right?). This method says it returns a float - what units
(miles, meters, etc.) is this number in?

3) if I use the method from (1) and the distance from (2) to calculate
the distance from the target to the other 2 corners that define the base
of the triangle, what OpenMap method call will give me the coordinates
of these points given their distance from a known point? I've looked
through a few projection-related classes, but my knowledge of
projections and spherical geometry is limited enough I'm not sure I
would recognize the answer if I saw it.


Chris Esposito, Ph.D.
Associate Technical Fellow
(425) 373-2788

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Received on Fri Aug 11 2006 - 14:33:41 EDT

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