Finding Latitude and Longitude around a known latitude and longitude if distance is known

Question

Please check the code which i tried to write with the help of the link suggested by people below. Please tell whether i have implemented the logic correctly or not. I have pasted the data in excel sheet to see its plot on http://www.copypastemap.com/map.php `

import java.io.File;
import java.io.IOException;

import jxl.Workbook;
import jxl.write.WritableSheet;
import jxl.write.WritableWorkbook;
import jxl.write.WriteException;
import jxl.write.biff.RowsExceededException;

public class FindingLatLongAlongACircle {
static double latitude= 35.306614; 
static double longitude= -80.7444093;
//static double circumofEarth= 40075000;
static double R=20;


public static void main(String[] args) throws IOException {
    File f= new File("C:\\Users\\Manu Chaudhary\\Desktop\\LatongAroundaPoint.xls");
    WritableWorkbook myexcel= Workbook.createWorkbook(f);
    WritableSheet mysheet= myexcel.createSheet("mysheet",0);

    int YAxis1=0;
    int YAxis2=0;
               //  Added now
    jxl.write.Label k1;
    jxl.write.Label k2;

     double angle=0;
     double angleRadian=0; 
    // double changeInLat;
     //double changeInLong;
     double dx;
     double dy;
     double final_latitude=0;
     double final_longitude=0;

     double delta_longitude;
     double delta_latitude;

        while(angle<360){
            angle=angle+15;
            angleRadian= Math.toRadians(angle);
            dx= R* Math.sin(angleRadian);
            dy= R* Math.cos(angleRadian);
            //changeInLat= (distance* Math.cos(angleRadian))/(circumofEarth* Math.cos(lat1));
            //changeInLong= (distance*Math.sin(angleRadian))/circumofEarth;

            //newLatitude= lat1+changeInLat;
            //newLongitude=long1+ changeInLong;
            delta_longitude= dx/(111320* Math.cos(latitude));
            delta_latitude= dy/110540;
            final_latitude= latitude+ delta_latitude;

            final_longitude=longitude+ delta_longitude;
            YAxis1++;
            YAxis2++;

            k1= new jxl.write.Label(0,YAxis1,Double.toString(final_latitude));
            k2= new jxl.write.Label(1,YAxis2,Double.toString(final_longitude));

                try {
                    mysheet.addCell(k1);
                } catch (RowsExceededException e) {
                    // TODO Auto-generated catch block
                    e.printStackTrace();
                } catch (WriteException e) {
                    // TODO Auto-generated catch block
                    e.printStackTrace();
                }
                try {
                    mysheet.addCell(k2);
                } catch (RowsExceededException e) {
                    // TODO Auto-generated catch block
                    e.printStackTrace();
                } catch (WriteException e) {
                    // TODO Auto-generated catch block
                    e.printStackTrace();
                }   

            System.out.println("The value of latitude at "+ angle + " angle is"+ final_latitude);
            System.out.println("The value of longitude at "+ angle + " angle is"+ final_longitude);


        }
        myexcel.write();

        try {
            myexcel.close();
                } catch (WriteException e) {

                e.printStackTrace();
            System.out.println("Finish");  
                }

        }


}

`Suppose i know the latitude and longitude of a point. Can i calculate the latitude and longitude all around the point(approx. 16 points) if i know the distance of separation? I searched the stackoverflow and found two useful links.

• Calculate second point knowing the starting point and distance
• Google Maps V3 Circle & Circle that I created do not match

For making the question clear please see the Latitudes and longitudes required. Please help me with a code in python.

Answer 1

This is just basic trig:

θ = angle of elevation in a triangle formed by connecting an outer dot to the center dot, then extending a 90º line horizontally from the center dot until an altitude can connect the two priorly drawn lines

ec = earth's circumference

distance•cos(θ)/(ec•cos(latitude)) = Δlong

distance•sin(θ)/ec = Δlat

Please attempt some code, this site isn't to have people do your homework.