Ale's Trilateration Solver
🌍 OSINT Trilateration Tool
This script helps locate a target by calculating the intersection of distances from three specific amenities (bars, restaurants, etc.) in a city. It pulls data directly from the Overpass API (OpenStreetMap).
Credit: Script provided by ale for the “Best Food” challenge.
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import math
import time
import requests
OVERPASS = "https://overpass-api.de/api/interpreter"
EARTH_R = 6371000.0 # meters
def overpass_query(query):
r = requests.post(OVERPASS, data={"data": query}, timeout=60)
r.raise_for_status()
return r.json()
def build_query(city, amenity):
return f"""
[out:json][timeout:25];
area[name="{city}"]->.a;
node["amenity"="{amenity}"](area.a);
out;
"""
def fetch_coords(city, amenity):
q = build_query(city, amenity)
data = overpass_query(q)
coords = [(e["lat"], e["lon"]) for e in data.get("elements", []) if "lat" in e]
return coords
def mean_center(points):
if not points:
return None
lat = sum(p[0] for p in points)/len(points)
lon = sum(p[1] for p in points)/len(points)
return (lat, lon)
def latlon_to_xy(lat, lon, lat0, lon0):
lat, lon = map(math.radians, (lat, lon))
lat0, lon0 = map(math.radians, (lat0, lon0))
x = EARTH_R * (lon - lon0) * math.cos((lat + lat0)/2)
y = EARTH_R * (lat - lat0)
return x, y
def xy_to_latlon(x, y, lat0, lon0):
lat0_r, lon0_r = map(math.radians, (lat0, lon0))
lat = y/EARTH_R + lat0_r
lon = x/(EARTH_R*math.cos((lat+lat0_r)/2)) + lon0_r
return math.degrees(lat), math.degrees(lon)
def trilaterate(a, b, c):
x1,y1,r1 = a
x2,y2,r2 = b
x3,y3,r3 = c
dx = x2-x1
dy = y2-y1
d = math.hypot(dx,dy)
if d == 0:
raise ValueError("Points 1 and 2 identical")
ex = (dx/d, dy/d)
i = ex[0]*(x3-x1) + ex[1]*(y3-y1)
px = x3 - x1 - i*ex[0]
py = y3 - y1 - i*ex[1]
j = math.hypot(px, py)
if j == 0:
raise ValueError("Degenerate configuration")
ey = (px/j, py/j)
x = (r1*r1 - r2*r2 + d*d) / (2*d)
y = (r1*r1 - r3*r3 + i*i + j*j - 2*i*x) / (2*j)
fx = x1 + x*ex[0] + y*ey[0]
fy = y1 + x*ex[1] + y*ey[1]
return fx, fy
def main():
print("---------------------------------------")
print(" OSINT Trilateration Solver (General)")
print("---------------------------------------\n")
# ---- USER INPUT ----
city = input("Enter city (e.g., Graz): ").strip()
a1 = input("Amenity 1 (e.g., bar): ").strip()
a2 = input("Amenity 2: ").strip()
a3 = input("Amenity 3: ").strip()
d1 = float(input("Distance to amenity 1: "))
d2 = float(input("Distance to amenity 2: "))
d3 = float(input("Distance to amenity 3: "))
unit = input("Units? (km / m): ").strip().lower()
if unit == "km":
d1*=1000; d2*=1000; d3*=1000
elif unit != "m":
print("Invalid unit")
return
print("\nFetching amenity coordinates from OpenStreetMap...\n")
coords1 = fetch_coords(city, a1); time.sleep(1)
coords2 = fetch_coords(city, a2); time.sleep(1)
coords3 = fetch_coords(city, a3); time.sleep(1)
if not coords1 or not coords2 or not coords3:
print("ERROR: One of the amenities returned zero results.")
return
m1 = mean_center(coords1)
m2 = mean_center(coords2)
m3 = mean_center(coords3)
lat0 = (m1[0] + m2[0] + m3[0]) / 3
lon0 = (m1[1] + m2[1] + m3[1]) / 3
x1,y1 = latlon_to_xy(*m1, lat0, lon0)
x2,y2 = latlon_to_xy(*m2, lat0, lon0)
x3,y3 = latlon_to_xy(*m3, lat0, lon0)
fx, fy = trilaterate((x1,y1,d1), (x2,y2,d2), (x3,y3,d3))
latf, lonf = xy_to_latlon(fx, fy, lat0, lon0)
print("\n---------------------------------------")
print(" FINAL COORDINATES")
print("---------------------------------------")
print(f"Latitude: {latf:.8f}")
print(f"Longitude: {lonf:.8f}")
print("\nPaste these into Google Maps/OpenStreetMap.")
print("Look for a restaurant there and check **reviews** for the flag!\n")
if __name__ == "__main__":
main()