Longitude and Latitude II

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Welcome to class! 

In today’s class, we will be talking more about longitude and latitude. Enjoy the class!

Longitude and Latitude II

Calculation of distance between two points

 1. On the Longitude

The distance along the Great Circles:

The radius of the earth is approximately 6400 KM. the distance between any two points on P and Q on a great circle is given by the formula

$Arc PQ =\theta /360 \times 2\pi R$

where o is the angular difference between points P and Q.

R is the radius of the earth.

2. On the Latitude:

The distance along Parallel of Latitudes:

$Arc PQ =\theta /360 \times 2\pi r$ $Where r = R \cos \theta$

The distance between any two points X and Y along a parallel of latitude is given by the formula

$XY = \theta /360 \times 2\pi R\cos \theta$

• Time or Speed of Aircraft:

$Speed = ( Dis\tan ce )/(Time taken)$

Time or speed of aircraft can be calculated after obtaining the distance by using the formulae of distances along longitude and latitude

$Time taken = ( Dis\tan ce )/speed$

 

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