diff --git a/importPicture/src/osm/jp/gpx/ImportPicture.java b/importPicture/src/osm/jp/gpx/ImportPicture.java
index e56c698..5c14a62 100644
--- a/importPicture/src/osm/jp/gpx/ImportPicture.java
+++ b/importPicture/src/osm/jp/gpx/ImportPicture.java
@@ -9,10 +9,10 @@
 import java.util.Comparator;
 import java.util.Date;
 import java.util.GregorianCalendar;
-import java.util.HashMap;
 import java.util.Iterator;
 import java.util.Set;
 import java.util.TimeZone;
+import java.util.TreeMap;
 import java.util.logging.LogManager;
 import java.util.logging.Logger;
 
@@ -200,7 +200,7 @@
             </wpt>
             </gpx>
             */
-            HashMap<Long,Element> map = new HashMap<>();
+            TreeMap<Long,Element> map = new TreeMap<>();
             Element trk = null;
             gpx    = builder.parse(gpxFile).getFirstChild();
             NodeList nodes = gpx.getChildNodes();
@@ -270,7 +270,7 @@
      * @throws ImageReadException 
      * @throws ImageWriteException 
      */
-    static void proc(File dir, long delta, long gpxStartTime, long gpxEndTime, HashMap<Long,Element> map, boolean exifWrite, Node gpx) throws ParseException, ImageReadException, IOException, ImageWriteException {
+    static void proc(File dir, long delta, long gpxStartTime, long gpxEndTime, TreeMap<Long,Element> map, boolean exifWrite, Node gpx) throws ParseException, ImageReadException, IOException, ImageWriteException {
         DecimalFormat yearFormatter = new DecimalFormat("0000");
         DecimalFormat monthFormatter = new DecimalFormat("00");
         DecimalFormat dayFormatter = new DecimalFormat("00");
@@ -462,7 +462,7 @@
      * @param map
      * @throws ParseException
      */
-    public static void trkptMap(Element trk, HashMap<Long,Element> map) throws ParseException {
+    public static void trkptMap(Element trk, TreeMap<Long,Element> map) throws ParseException {
         dfuk.setTimeZone(TimeZone.getTimeZone("GMT"));
 
         NodeList nodes1 = trk.getChildNodes();
@@ -510,8 +510,8 @@
      * @param jptime
      * @throws ParseException
      */
-    public static Element trkpt(HashMap<Long,Element> map, Date jptime) throws ParseException {
-        Double R = 20000000 / Math.PI;                  // 地球の半径(m)
+    public static Element trkpt(TreeMap<Long,Element> map, Date jptime) throws ParseException {
+        Double R = 20000000 / Math.PI;
         long sa = 2L * 3600000L;
         long jpt = jptime.getTime();
         Element ret = null;
@@ -572,20 +572,25 @@
                                         break;
                                 }
                             }
-                            Double dLON = imaLON - maeLON;
-                            Double dLAT = imaLAT - maeLAT;
-                            Double r = Math.cos(Math.toRadians((imaLAT + maeLAT) * 2)) * R;
+                            Double r = Math.cos(Math.toRadians((imaLAT + maeLAT) / 2)) * R;
                             Double x = Math.toRadians(imaLON - maeLON) * r;
                             Double y = Math.toRadians(imaLAT - maeLAT) * R;
-                            double rad = Math.toDegrees(Math.atan(y / x));
+                            double rad = Math.toDegrees(Math.atan2(y, x));
                             
-                            if (y < 0) {
-                                rad = rad * -1;
-                                if (x > 0) {
-                                    rad = rad + 90;
+                            if (y >= 0) {
+                                if (x >= 0) {
+                                    rad = 0 - (rad - 90);
                                 }
                                 else {
-                                    rad = rad - 90;
+                                    rad = 360 - (rad - 90);
+                                }
+                            }
+                            else {
+                                if (x >= 0) {
+                                    rad = 90 - rad;
+                                }
+                                else {
+                                    rad = 90 - rad;
                                 }
                             }
 
@@ -597,6 +602,15 @@
                             }
                             magvar.setTextContent(str);
                             ret.appendChild(magvar);
+                            
+                            Element speed = ret.getOwnerDocument().createElement("speed");
+                            str = Double.toString(Math.sqrt(Math.pow(x, 2) + Math.pow(y, 2)));
+                            iDot = str.indexOf('.');
+                            if (iDot > 0) {
+                                str = str.substring(0, iDot);
+                            }
+                            speed.setTextContent(str);
+                            ret.appendChild(speed);
                         }
                     }
                 }