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POCalculate new coordinates from old coordinates and x and y
 

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  1. POCalculate new coordinates from old coordinates and x and y
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    <p>I have the following setup of items in real life:</p> <p><img src="https://i.stack.imgur.com/bZRWJ.png" alt="My setup"></p> <p>The radar is static, which means it always has the same position. The <code>A</code>-item can move and its position can be whatever. From the radar I can read the <code>x</code> and <code>y</code> coordinates of <code>A</code> in relation to the radar. I have written the following classes to describe the position of each item:</p> <pre><code>public class Position { public enum Direction { EAST, WEST, NORTH, SOUTH }; public final Direction latitudeDirection, longitudeDirection; public final float latitude, longitude, altitude; public Position(Direction latitudeDirection, Direction longitudeDirection, float latitude, float longitude, float altitude) { this.latitudeDirection = latitudeDirection; this.longitudeDirection = longitudeDirection; this.latitude = latitude; this.longitude = longitude; this.altitude = altitude; } public Position(float radarX, float radarY) { // TODO: Implement the question here this.altitude = Config.RADAR_POSITION.altitude; } } class Config { // Position of the radar public static final Position RADAR_POSITION = new Position( Position.Direction.NORTH, // Latitude direction Position.Direction.EAST, // Longitude direction 55.0f, // Latitude 13.0f, // Longitude 60.0f); // Altitude // Facing direction of the radar in degrees. 0° is north, advancing // clockwise. public static final float RADAR_FACING_DIRECTION = 10.0f; } </code></pre> <p>Now given the geographic coordinates of the radar, the <code>x</code> and <code>y</code> coordinates of <code>A</code> relative to the radar and the facing direction of the radar relative to the North, how can I calculate the absolute geographic coordinates of <code>A</code>?</p> <p>The curvature of the earth is not an issue since the maximum value of <code>x</code> and/or <code>y</code> cannot be more than a couple hundred meters.</p>
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    1. COYour problem amounts to rotating an image 10 degrees. There are plenty of literature on the matter. Once rotated you add the coordinates of your origin (the radar).
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    2. COBut that would be wrong. Geographic coordinates are degrees from the core of the earth. My coordinates in reference to the radar are just meters. I cannot add those two together.
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    3. COGiven that (x,y) be the current coordinate `A` . And if you know the angel (theta) to which radar is rotated with respect to the earth , then you can easily find the new cordinates(xnew,ynew) as : `xnew = x * cos(theta) - y * sin(theta); ynew = x * sin(theta) + y * cos(theta);`
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      1. USVishal K
 

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