How can I calculate the aerial distance between the two cities?
- PhilomelLv 74 weeks ago
Open "Google Maps" online. It can tell you the distance between two cities.
- 4 weeks ago
Distance calculator calculate the distance between any cities or places and measure the distance in miles and kilometers. Air distance (also called great circle or orthodrome) is also drawn on the distance map below.
Enter the city name, location name or the location coordinates in lat long format (lat,long) and click measure button to measure the distance between cities or any two places in the world. Find the distance from cities in miles and kilometers for flying air distance.
- MorningfoxLv 74 weeks ago
What do you know about these cities? Do you know their latitude and longitude?
- SlowfingerLv 64 weeks ago
That problem in spherical geometry has historical significance ever since people realized the shortest sailing distance between two distant harbors is actually a curve, not a straight line.
Observe the spherical triangle in the picture. Let B and C are two cities, and A is one of the poles. Let latitudes and longitudes of B and C are known.
Obviously, angle A is Long(C)-Long(B)
Angle c is 90°-Lat(B)
Angle b is 90°-Lat(C)
If we could know angle "a", with that angle and radius of sphere we could find arc distance BC.
Law of Cosines on a sphere (I'll just write formula without proof)
cos A = (cos a - cos b cos c) / (sin b sin c)
cos a = sin b sin c cos A + cos b cos c
a = arccos (sin b sin c cos A + cos b cos c)
If angle a is in radians, we just need to multiply it by the radius of sphere R to find the distance (arc length) BC
BC = a R
Let's find the distance from New York City to Paris (Lindbergh's flight)
New York City - 40°44′31″N ..... 73°35′56″W
Paris - : ............ 48°58′10″N ..... 2°26′29″E
Angle A = 73°35′56″ + 2°26′29″ = 76° 02' 25'' = 76.040°
Angle c = 90° - 40°44′31″ = 49° 15' 29'' = 49.258°
Angle b = 90° - 48°58′10″ = 41° 1' 50'' = 41.031°
a = arccos (sin 41.031° sin 49.258° cos 76.040° + cos 41.031° cos 49.258°)
a = 52.242° = 0.91180 rad
We'll take average radius of Earth R=6371km
BC = 0.91180 * 6371 = 5809 km
The actual distance will slightly differ because Earth is flattened at the poles, not a perfect sphere.
For short distances, this method can lead to rounding errors because cosines of small angles are very close to 1. For close cities, it is, therefore, more practical to assume that Earth is flat, meridians are the parallel lines and we find distance through the Pythagorean Theorem.
- How do you think about the answers? You can sign in to vote the answer.
- AudreyLv 64 weeks ago
Just Google it. Google knows everything!
- 4 weeks ago
the only sure way is to buy a ticket and actually fly
- JJLv 74 weeks ago