diff --git a/backend/src/main/java/edu/zut/bookrider/repository/LibraryRepository.java b/backend/src/main/java/edu/zut/bookrider/repository/LibraryRepository.java
index 30fa4f61..c1a93dd9 100644
--- a/backend/src/main/java/edu/zut/bookrider/repository/LibraryRepository.java
+++ b/backend/src/main/java/edu/zut/bookrider/repository/LibraryRepository.java
@@ -28,11 +28,10 @@ WHERE l.id IN (
             WHERE lb.book_id = :bookId
         )
         ORDER BY 
-            (6371 * acos(
-                cos(radians(:userLat)) * cos(radians(a.latitude)) *
-                cos(radians(a.longitude) - radians(:userLon)) +
-                sin(radians(:userLat)) * sin(radians(a.latitude))
-            )) ASC
+            ST_Distance(
+                ST_SetSRID(ST_MakePoint(a.longitude, a.latitude), 4326)::geography,
+                ST_SetSRID(ST_MakePoint(:userLon, :userLat), 4326)::geography
+            ) ASC
         LIMIT 5
     """, nativeQuery = true)
     List<Library> findNearestLibrariesWithBook(