Have you ever wondered how many kilometers you would have to travel if you went around the world strictly along the equator? Or what distance separates two points on Earth if you fly along the shortest route - big circle? These questions seem abstract, but in practice they are critical for navigation, logistics and even planning long-distance road trips.
The earth is not a perfect sphere, but oblate ellipsoid, therefore the circumference along the equator and meridian differs by almost 68 km. This difference affects route calculations, fuel consumption and even the choice of vehicle. In this article we will look at:
- π Exact values of the length of the equator and meridians, taking into account the oblateness of the planet.
- π How to calculate the distance between two points on Earth using formulas and online tools.
- π Practical examples: how much fuel is needed to travel along the equator by car.
- βοΈ Why air routes often do not coincide with straight lines on the map.
You will be surprised, but even in 2026, many navigators and mapping services use simplified models of the Earth, which can lead to errors in calculations tens of kilometers. Next is a detailed analysis with formulas, tables and useful life hacks for travelers.
1. The exact circumference of the Earth: equator vs meridian
According to data NASA and International Astronomical Union (IAU), The Earth has the following parameters:
- π΅ Equatorial radius:
6,378.137 km(maximum, due to the convexity at the equator). - π΄ Polar radius:
6,356.752 km(minimum, at the poles). - π’ Average radius:
6,371.0088 km(used in most calculations).
Because of this difference, the circumference of the equator and the meridian are not the same:
| Parameter | Value (km) | Notes |
|---|---|---|
| Equator length | 40 075,017 | Maximum circumference of the Earth |
| Meridian length | 40 007,863 | Passes through the poles (short axis) |
| Difference | 67,154 | The equator is 67 km longer than the meridian |
| Length 1Β° equator | 111,32 | Used in aviation and shipping |
| Length 1Β° along the meridian | 111,14 | Depends on latitude (shortenes at the poles) |
These data are confirmed by satellite measurements, including missions GRACE (NASA/DLR) and GOCE (ESA). I wonder what Mount Chimborazo in Ecuador (6,263 m above sea level) is technically the farthest point from the center of the Earth - its top is at 2.1 km further than the summit of Everest due to the equatorial bulge.
β οΈ Attention: Many school textbooks and old maps use a rounded value for the length of the equator -40,075 km. However, for accurate calculations (for example, in aviation), it is important to take into account the oblateness of the planet, otherwise the error can reach0,02%, which at a distance of 10,000 km gives an error of2 km.
2. How to calculate the distance between two points on Earth
To calculate the shortest distance between two points on a sphere (or ellipsoid), use the formula Haversines (haversine formula). It takes into account the latitude and longitude of points and the curvature of the Earth:
a = sinΒ²(Ξlat/2) + cos(lat1) cos(lat2) sinΒ²(Ξlon/2)c = 2 * atan2(βa, β(1βa))
d = R * c
Where:
- π
lat1, lon1β latitude and longitude of the first point. - π
lat2, lon2β latitude and longitude of the second point. - π
Rβ radius of the Earth (6,371 kmfor simplified calculations). - π
dβ distance in kilometers.
In practice, this formula is implemented in Google Maps API, OpenStreetMap and specialized navigators for cargo transportation (for example, Sygic Truck). For quick calculations you can use online calculators:
- π Movable Type Scripts (exact calculation taking into account the WGS84 ellipsoid).
- π FreeMapTools (allows you to build a route in a large circle).
If you need to calculate a route for a truck, use navigators that support WGS84 (for example, Garmin Dezl). They take into account height, weight and dimensions restrictions, which standard Google maps do not do.
3. Why do air routes not line up with straight lines on the map?
On a flat map (such as the Mercator projection), the shortest path between two points looks like a curved line. This is due to the fact that:
- Big circle (orthodromy) is the shortest path on a sphere, but on the map it is depicted as an arc.
- Loxodrome - line of constant exchange rate (for example,
30Β° northeast), but it is longer than the orthodrome.
Examples:
- βοΈ Flight Moscow β Los Angeles runs over Alaska, and not across the Atlantic, as it might seem on the map.
- π’ Marine vessels often choose rhoxodrome to simplify navigation, despite the longer distance.
| Route | Great circle distance (km) | Distance along rhoxodrome (km) | Difference |
|---|---|---|---|
| New York - Tokyo | 10 860 | 11 240 | +380 km (3.5%) |
| London - Sydney | 17 010 | 17 830 | +820 km (4.8%) |
| Moscow β Vladivostok | 6 420 | 6 550 | +130 km (2%) |
β οΈ Attention: When planning road trips across Russia (for example, from Moscow to Khabarovsk), the difference between the βstraightβ line on the map and the real route can reach 1,000+ km due to terrain, borders and road infrastructure. Always check the route in Yandex.Navigator or Waze depending on the type of vehicle.
4. Practical examples: how much fuel is needed to travel along the equator
Let's say you decide to drive along the equator in a car with average fuel consumption 8 l/100 km. Let's calculate the costs:
- Equator length:
40,075 km. - Fuel consumption:
40,075 km Γ 8 l / 100 km = 3,206 l. - Cost (at a price
50 rub/l):3,206 Γ 50 = 160,300 rubles.
But this theoretical calculation. In practice, you need to consider:
Irregular refueling in remote regions|Tire wear (the equator passes through 14 countries with different road surfaces)|Visas and border fees (for example, crossing through Congo or Indonesia)|Fuel reserve in case of force majeure (recommended +20%)
-->
For comparison: traveling around the world by motorcycle along the equator took the traveler Nick Sanderson 19 months (2017β2019). He overcame 38,000 km (not exactly along the equator due to political and geographical restrictions) and spent approx. 5,000 liters of gasoline.
The actual distance of a trip around the world is always greater than the theoretical one due to avoiding obstacles (mountains, seas, borders). For example, a trip along the Pan American Highway (Alaska - Ushuaia) is ~48,000 km, although "as the crow flies" it is only ~17,000 km.
5. How the Earth was measured in ancient times: from Eratosthenes to GPS
The first person to accurately measure the circumference of the Earth was Eratosthenes of Cyrene (~240 BC). His method:
- Measured the length of the shadow in Alexandria and Siena (now Aswan) at noon of the summer solstice.
- The angle of incidence of the sun's rays differed on
7,2Β°(1/50 of a full circle). - Distance between cities β
800 km(according to measurements, the bema is the Egyptian measure of length). - Circumference of the Earth:
800 km Γ 50 = 40,000 km(all error0,2%!).
Modern methods:
- π°οΈ Satellite geodesy (GPS, GLONASS): accuracy up to
1 cm. - π‘ Laser ranging (for example, mission LAGEOS): measures the displacement of continents.
- π Acoustic sensing: Used for mapping the seabed.
Why are modern data more accurate?
Ancient methods (including Eratosthenes) assumed that the Earth was a perfect sphere. However, satellites have shown that:
- The North Pole will be βflattenedβ by 10 meters relative to the South.
- The equatorial bulge is ~43 km (the difference between the polar and equatorial radii).
- The Earthβs gravitational field is not uniform, which affects satellite orbits and distance calculations.
6. Online services for calculating distances between points
For accurate calculations, use the following tools:
| Service | Accuracy | Features | Link |
|---|---|---|---|
| Google Maps | High | Takes into account the road network, but not always the shortest path "as the crow flies" | maps.google.com |
| Great Circle Mapper | Maximum | Calculates great circle, used by pilots | gcmap.com |
| OpenStreetMap | Average | Open data, supports offline maps | openstreetmap.org |
| NASA World Wind | Expert | 3D model of the Earth taking into account the relief | worldwind.arc.nasa.gov |
For road travelers we recommend:
- π Waze β takes into account traffic jams and road events.
- π TruckMap β a specialized navigator for trucks with height/weight restrictions.
- ποΈ Kurviger β optimizes routes for motorcyclists (avoids gravel, bad roads).
7. Common mistakes when calculating distances on Earth
Even experienced travelers make these mistakes:
- Ignoring the oblateness of the Earth: use average radius (
6,371 km) instead of the ellipsoidal model (WGS84) can give an error of up to0,5%over long distances. - Confusion between sea and land miles:
- π nautical mile =
1,852 m(based on the length of the 1' meridian arc). - π Land mile =
1,609 m(used in US/UK).
- π nautical mile =
10 km (typical for airliners) great circle distance is reduced by ~0,15%.β οΈ Attention: When planning sea voyages, never use land miles for fuel calculations! Error in10%at a distance of 5,000 km will lead to a shortage500+ liters of dieselfor a yacht.
FAQ: Answers to popular questions
Is it possible to drive along the equator by car without special training?
Theoretically yes, but in practice it is extremely difficult. The equator passes through:
- π³ Amazon rain forests (no roads).
- ποΈ Mountain regions of the Andes and Kilimanjaro (requires an SUV).
- π’ Sea areas (for example, between Africa and South America -
3,000+ kmby water).
The record for a trip around the world along the equator belongs to the expedition "Equator Challenge" (2012), which used 4x4 cars, boats and even a helicopter to overcome impassable areas.
Why do aviation use a large circle and not a straight line?
Because the Earth is a sphere (ellipsoid), and the shortest path between two points on a sphere is the arc of a great circle. A straight line on a flat map (loxodrome) will be longer. For example:
- βοΈ Flight Tokyo - New York through Alaska is shorter
300 kmthan the route through Hawaii. - βοΈ Flight Sydney - Santiago goes through the Pacific Ocean, and not the Atlantic, as it may seem on the map.
How to find out the exact coordinates of a point for calculations?
Use these services:
- π LatLong.net β enter the address and get the latitude/longitude.
- π± Google Maps β right-click on the point and select "What's here?"
- π°οΈ GPS Coordinates - Supports input of addresses.
For professional tasks (for example, laying pipelines) use GPS equipment with support RTK corrections (accuracy up to 1 cm).
How long will it take to travel around the Earth at 100 km/h?
If you drive non-stop along the equator (40,075 km):
40,075 km / 100 km/h = 400.75 hours β 16.7 days.
Real time taking into account:
- π Stops for sleep/food:
+7 days. - π§ Traffic jams and border controls:
+3β5 days. - β½ Refills and repairs:
+2 days.
Total: ~28β30 days continuous movement. Around the world car race record (2023) - 12 days 7 hours on Bugatti Chiron (average speed ~140 km/h).
What is the longest straight road on Earth?
According to Guinness World Records, this Pan American Highway:
- π Route: Prudhoe Bay (Alaska) β Ushuaia (Argentina).
- π Length:
48,000 km(continuous path, but with a break in100 kmin the Darien Gap between Panama and Colombia). - β±οΈ Travel record:
23 days 22 hours(2021, team "Expedition 7").
For comparison: Trans-Siberian Railway (Moscow - Vladivostok) - 9,288 km, and Highway 1 in Australia β 14,500 km.