Plan of the lecture

Introduction

1. Coordinates of points on the surface of the sphere.

2. The calculation of the travel distance and angle between waypoints.

Explore on their own

3. Distance calculation on the sphere of given radius.

4. Map projections.

5. Classification of map projections for the pole position, the nature of distortions and mean normal grid coordinates

Output

Coordinates of points on the surface of the sphere.

The system of spherical coordinates

What is different between the shape of the earth's ellipsoid and sphere?

In some cases, navigation problems are solved on the surface of the spheroid and the public - on the surface of the sphere?

Spherical latitude j point C is the angle between the planes of the equator and the direction of the center of the globe to the point, which is the image of the corresponding point on the ellipsoid.

Spherical longitude l point C is the dihedral angle between the planes of the initial meridian and the meridian of the point.

QUESTION: What is different between the spherical latitude and the geodesic?

Different. In surveying - the normal to the surface of the ellipsoid in a spherical - the direction of the center of the globe.

QUESTION: What is different between the spherical longitude and geodesic?