📏 Tokyo to Busan

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967 km · 601 mi
Great-circle (haversine, R = 6371.0088 km)967.1 km
Miles (international)600.9 mi
Nautical miles522.2 nmi
Initial true bearing269.3° W
Flight at 900 km/h (no climb, taxi or wind)64 min
Drive at 80 km/h, non-stop12.1 h
Latitude change-0.5800°
Longitude change-10.6500°
ℹ️ What this tool does & how it works

The air line between the two is 967 km (601 statute miles, 522 nautical miles). It comes from the haversine formula on the two coordinate pairs the page carries — Tokyo at 35.6800° N, 139.6900° E and Busan at 35.1000° N, 129.0400° E — using the IUGG mean Earth radius of 6371.0088 km. Leaving Tokyo toward Busan you start on a true bearing of 269.3° (W); because the Earth curves, that heading drifts as you go.

How the Tokyo and Busan distance is worked out

Two points on a sphere are separated by the shorter arc of the great circle that passes through both of them, and the haversine formula is the numerically stable way to get its length: it converts the latitude difference and the longitude difference into a single chord ratio, takes its square root, and multiplies by twice the radius. Written that way it stays accurate even for pairs a few kilometres apart, which is why it is still the standard in navigation code. The radius used here is 6371.0088 km, the IUGG mean radius; on the true WGS84 ellipsoid the same Tokyo–Busan arc differs by a few tenths of a per cent depending on the route's orientation, which is well inside the error of a city-centre coordinate.

What that number means for an actual trip

It is the distance a bird flies. A 967 km line becomes roughly 1,257 km of road once hills, borders, river crossings and bypasses are counted — the 1.2 to 1.4 multiplier is the usual empirical range, and this page does not pretend to know the road you would take. Air distance is closer to the figure above, though airline routings, wind and holding add time to the 64 minutes a perfect 900 km/h cruise would take. Rail sits between the two. The latitude and longitude changes in the table show why the line is not simply "north" or "east": a 0.58° shift in latitude is about 64 km, while the same number of degrees in longitude shrinks with the cosine of the latitude.

Both positions, exactly

Tokyo, Japan (Asia): 35° 40′ 48.0″ N, 139° 41′ 24.0″ E — decimal 35.68, 139.69, GeoHash xn76fxr5h. Busan, South Korea (Asia): 35° 06′ 0.0″ N, 129° 02′ 24.0″ E — decimal 35.1, 129.04, GeoHash wy5z8mu03. Those two pairs are all this page needs, and everything above is derived from them; nothing is fetched, and the coordinates you can edit in the form are recalculated by your own browser, so a different pair costs nothing and stays on your device.

Part of Everyday Tools. Like everything on tukuk.org: free, no account, no tracking.

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