This program shows the apparent (virtual) position an object:

1. when Sound is considered.
2. when Electromagnetic is considered
3. when Gravity is considered.

Operation During the simulation you can select the following keys.

1. Right key: To move the angle of movement of the object clock wise.
2. Left key: To move the angle of movement of the object counter clock wise.
3. Up key: To increase the speed of the object.
4. Down key: To decrease the speed of the object.
5. Esc key: To stop the simulation

The display shows:

1. The Observer at the present position identified with the letter O
2. The present position and direction of movement of the Object identified with a white arrow.
3. The virtual position of the Object is identified in a circle of dots, as:
   1. White dots - when sound is considered
   2. Magenta dots - when electromagnetic force is considered.
   3. Yellow dots - when gravity is considered.

Program: VIRTUAL.BAS source

Technical Data

• The virtual position of an object is the position of the object a time t ago.
• For simplicity in this simulation it is assumed that the object moves in a straight line.
• The time t is equal to time for the disturbance to reach the observer.
• The disturbance moves in sphere with as centre the position where the object was a time t ago.
  From the point of view of the observer the disturbance moves in a straight line.
  
• The speed of the disturbance for sound, electromagnetic and gravity, in this simulation, is considered to be different.

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