Distance Calculator Nsw Australia

Haversine Formula:

\[ Distance = 2R \times \arcsin\left(\sqrt{\sin^2\left(\frac{\Delta\phi}{2}\right) + \cos(\phi_1) \times \cos(\phi_2) \times \sin^2\left(\frac{\Delta\lambda}{2}\right)}\right) \]

Latitude 1:

degrees

Longitude 1:

degrees

Latitude 2:

degrees

Longitude 2:

degrees

Distance:

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1. What is the Haversine Formula?

The Haversine formula calculates the great-circle distance between two points on a sphere given their longitudes and latitudes. It's particularly useful for calculating distances between geographic coordinates on Earth.

2. How Does the Calculator Work?

The calculator uses the Haversine formula:

\[ Distance = 2R \times \arcsin\left(\sqrt{\sin^2\left(\frac{\Delta\phi}{2}\right) + \cos(\phi_1) \times \cos(\phi_2) \times \sin^2\left(\frac{\Delta\lambda}{2}\right)}\right) \]

Where:

\( R \) — Earth's radius (6371 km)
\( \phi_1, \phi_2 \) — Latitude of point 1 and 2 in radians
\( \lambda_1, \lambda_2 \) — Longitude of point 1 and 2 in radians
\( \Delta\phi \) — Difference in latitude
\( \Delta\lambda \) — Difference in longitude

Explanation: The formula accounts for the spherical shape of the Earth, providing accurate distance calculations between any two points on the globe.

3. Importance of Distance Calculation

Details: Accurate distance calculation is crucial for navigation, logistics, travel planning, geographic analysis, and various applications in transportation and mapping services.

4. Using the Calculator

Tips: Enter latitude and longitude coordinates in decimal degrees. Latitude ranges from -90° to 90°, longitude from -180° to 180°. Positive values for North/East, negative for South/West.

5. Frequently Asked Questions (FAQ)

Q1: How accurate is the Haversine formula?
A: The Haversine formula is very accurate for most practical purposes, typically within 0.5% of the actual great-circle distance.

Q2: What's the difference between Haversine and Vincenty formulas?
A: Vincenty's formulae are more accurate as they account for Earth's ellipsoidal shape, while Haversine assumes a perfect sphere.

Q3: Can I use this for NSW-specific calculations?
A: Yes, this calculator works for any locations within NSW Australia or anywhere else in the world using valid geographic coordinates.

Q4: What coordinate format should I use?
A: Use decimal degrees format (e.g., -33.8688, 151.2093 for Sydney). Avoid degrees-minutes-seconds format.

Q5: Why is the result in kilometers?
A: The calculator uses Earth's radius in kilometers. To convert to miles, multiply the result by 0.621371.