1 Frame of Reference with 2 Coordinate Systems

This section provides an example of a frame of reference associated with 2 coordinate systems. The location of an object can be described as 2 sets of coordinates.

A single frame of reference can be associated with multiple coordinate systems. In this case, the location of an object in the same frame of reference will have different sets of coordinates depending on which coordinate system is used.

For example, we can define a sphere coordinate system and associate it to the same frame of reference presented in the previous section:

Now we describe the same location of the space shuttle in this new sphere coordinate system as (47.29, 22.82, 30572), because:

1 Frame of Reference with 2 Coordinate Systems
1 Frame of Reference with 2 Coordinate Systems

Note that the φ angle is also called Longitude, the θ angle is also called Latitude, and the r distance minus Earth radius (6,371km) is also called Altitude. So the location of the space shuttle can also be described:

Longitude = 47.29°
Latitude = 22.82°
Altitude = 24,201km

Last update: 2014.

Table of Contents

 About This Book

 Introduction of Space

Introducion of Frame of Reference

 What Is Frame of Reference

 Frame of Reference with 2 Objects

 What Is Coordinate System

 2-Dimensional Cartesian Coordinate System

 3-Dimensional Cartesian Coordinate System

1 Frame of Reference with 2 Coordinate Systems

 Introducion of Time

 Introduction of Speed

 Newton's Laws of Motion

 Introduction of Special Relativity

 Time Dilation in Special Relativity

 Length Contraction in Special Relativity

 The Relativity of Simultaneity

 Introduction of Spacetime

 Minkowski Spacetime and Diagrams

 References

 PDF Printing Version