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It has to be a conspiracy of some kind (lemmy.world)

submitted 6 months ago by The_Picard_Maneuver@lemmy.world to c/humor@lemmy.world

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[–] Gigan@lemmy.world 7 points 6 months ago (7 children)

Anyone have an idea how long that is?

[–] cheeseburger@lemmy.ca 2 points 6 months ago (2 children)

10,152 Km between Atlanta and Tbilisi, and ChatGPT gave the pseudocode below as an explanation, which I didn't double check before making this comment!


# Coordinates for Atlanta, Georgia, USA
atlanta_coords = (33.7490, -84.3880)

# Coordinates for Tbilisi, Georgia (country)
tbilisi_coords = (41.7151, 44.8271)

# Calculate the straight line distance through the Earth
geopy.distance.great_circle(atlanta_coords, tbilisi_coords).km```

[–] Gobbel2000@programming.dev 4 points 6 months ago

That's wrong, it calculates the surface distance not the distance through the earth, while claiming otherwise. From the geopy.distance.great_circle documentation:

Use spherical geometry to calculate the surface distance between points.

This would be a correct calculation, using the formula for the chord length from here:

from math import *

# Coordinates for Atlanta, West Georgia
atlanta_coords = (33.7490, -84.3880)
# Coordinates for Tbilisi, Georgia
tbilisi_coords = (41.7151, 44.8271)

# Convert from degrees to radians
phi = (radians(atlanta_coords[0]), radians(tbilisi_coords[0]))
lambd = (radians(atlanta_coords[1]), radians(tbilisi_coords[1]))

# Spherical law of cosines
central_angle = acos(sin(phi[0]) * sin(phi[1]) + cos(phi[0]) * cos(phi[1]) * cos(lambd[1] - lambd[0]))
chord_length = 2 * sin(central_angle/2)

earth_radius = 6335.439 #km
print(f"Tunnel length: {chord_length * earth_radius:.3f}km")

A straight tunnel from Atlanta to Tbilisi would be 9060.898km long.

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