WikiMechanics

Consider a chain of events noted by $\Psi ^{\sf{P}} = \left( \sf{P}_{ 1} , \sf{P}_{2} , \sf{P}_{3} \; \ldots \; \sf{P}_{\it{k}} \; \ldots \; \right)$. If $\sf{\Omega}$ is a finite selection of events from $\Psi$

$\sf{\Omega} ^{\sf{P}} = \left( \sf{P}_{ 1} , \sf{P}_{2} , \sf{P}_{3} \; \ldots \; \sf{P}_{\it{N}} \right)$

that are repeated over and over again so that $\Psi$ can also be written as $\Psi ^{\sf{P}} = \left( \sf{\Omega}_{1} , \sf{\Omega}_{2} , \sf{\Omega}_{3} \; \ldots \; \sf{\Omega}_{\it{j}} \; \ldots \; \right)$ where

$\sf{\Omega}_{1} = \sf{\Omega}_{2} = \sf{\Omega}_{3} = \ldots = \sf{\Omega}_{\it{j}}$

Robert Fludd (1574-1637) Utriusque cosmi maioris scilicet et minoris metaphisica. Oppenhemii 1619.

then we say that $\Psi$ is an orbital chain of events. Chains like these are used to mathematically describe phenomena that are repetitive or cyclical. The repeated sequence of events $\sf{\Omega}$ is called a single orbit or an orbital cycle of $\sf{P}$. Sometimes, $\sf{\Omega}$ is called a bundle of sensations because physical events have been defined by sensations. Earlier we compared $\Psi $ to a movie,  and to illustrate this idea here is an example that uses an orbital chain of events. Consider that $\sf{P}_{ \it{k}}$ might be an individual sound or pixel in a movie, and perhaps $\sf{\Omega}$ is a single-frame image within the motion picture. The first thing that happens in this example is some sort of sound or pressure that is felt on the right-side

$\sf{P_1} =$

{

}

Then the next event is a somatic sensation on the left

$\sf{P_2} =$

{

}

These two sensations are bundled together

$\sf{\Omega^{P}} = \left( \sf{P}_{1} , \sf{P}_{2} \right) =$

(

,

)

and then repeated, over and over again

$\Psi ^{\sf{P}} = \left( \sf{\Omega}_{1} , \sf{\Omega}_{2} , \sf{\Omega}_{3} \; \ldots \; \right) =$

(

,

,

,

,

,

…

)

Right, left, right, left, right, left and so on … nothing else happens, so this movie is called The Almost-Dead March. It might seem a little boring, but as we add more detail, it provides a basic narrative structure for describing more complicated happenings in space and time.

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Orbits