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CCD Imaging

Numerical Integration

Cosmic Theories

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Using the Jingo Integrator

Java required to see this animation

Jingo Display

The example above is an overview of the Solar System including Halley's comet and Sedna.

 

   Int. Step=

The time step (days) used for the numerical integration. In most examples this is variable and calculated automatically by the system.

   Bodyname-Bodyname

Appears immediately after the Int. Step information. It shows the two bodies that are determining the integration step size. For the Solar System this is normally the Sun and Mercury but can change during other close approaches.  

   Display Step=

Shows the integration period between each screen refresh. Can be  increased or decreased by use of the speed control except when fixed as a "strobe" (see below).

   Rel. Energy=

Shows the relative energy (potential and kinetic) in the system. It is calculated as (change in energy)/(original energy) and is a measure of the accuracy of the integration.

   J=nnnn.nnn Shows the number of Julian Days since the start of the integration or actual Julian date if a starting date was supplied.
   Body names The bodies included in the integration are listed on the left in the colours used to draw them.
   T=dd/mm/yyyy This shows the Gregorian Date of the integration step if a starting date was supplied.
 

Controls

   Mouse usage Left click and drag in the display area to move the whole image. Right click in the display area to re-centre the original object.

   Stop

Click once to stop the integration. Click again to continue.

   Speed

Left click to increase speed. Right click to reduce speed. (See notes below.)

   Zoom

Left click to zoom in and right click to zoom out.

   Tilt

Left click to tilt the lower part of the display “towards” the viewer. Right click to tilt the other way.

   Rotate

Left click to rotate the entire view anticlockwise. Right click to rotate clockwise.

   Clear

Click to clear the trails.

   Back

Click to reverse direction.

   Info

Click to toggle information on and off, (display of time step, relative energy and object names).

   Orbit

Click to toggle between displays of object trails or complete orbits. If no central body is defined then simply toggles between trails and no trails.

Notes

Using the Speed control: When you want to "fast forward" to a date, press and hold the left mouse button over the Speed control. Watch the Display Step and let it rise to a few tens of days. As you near the desired date press and hold the right mouse button until you have reduced the Display Step and the interval between displays to a suitable size for viewing the event you are interested in (say 1 day or less). When "strobe" is in use the Display Step cannot be changed. Maximum speed will be limited by the power of the machine you are using. Higher speeds can be achieved when Orbits are switched off.

Variable Integration Steps: When variable integration steps are in use you will see the names of the two bodies used to calculate the step size. This is done by finding the nearest "close encounter" taking into account the velocity and distance between objects. In the Solar System the Sun and Mercury will usually determine the step size but this can change to some other pair during close encounters.

Orbit Display: Orbits will only be available using the Orbit control when there is one major central body (such as the Sun) in the system. At each display step the osculating elements of the bodies are calculated and the complete orbit drawn accordingly. Currently the orbit display will only work for objects with eccentricity less than 1.0.

Relative Energy: The total energy in the system is the sum of potential and kinetic energy. A good Integrator should loose or gain no energy. Most of these integrations are set up to have an error less than one part in a billion (1.0E-9). If the error goes much greater than this (say more than 1.0E-7) the integration may be unreliable.

Accuracy: The accuracy of most of these simulations is such that a planet (e.g. Earth) will not be out of position by more than a screen pixel during a 1000 year integration.

Strobe Effect: When the strobe effect is in use the Display Step is set equal to the Period of one of the planets. That planet therefore appears static. This is useful to highlight certain relationships between orbits. The apparent positions of other planets may be erratic.

Rotating Coordinates: When rotating coordinates are in use, the entire system is continuously rotated so that one particular object is always in the same direction relative to the central object. This is useful to highlight certain relationships between orbits. The movement of other objects can appear erratic when this is in effect. 


Tony Evans 2004-2008