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Abstract: I show that in kinematic situations, π is 4. For all those going ballistic over my title, I repeat and stress that this paper applies to kinematic situations, not to static situations. I am analyzing an orbit, which is caused by motion and includes the time variable. In that situation, π becomes 4. When measuring your waistline, you are not creating an orbit, and you can keep π for that. So quit writing me nasty, uninformed letters.
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Alex,
Take Kepler's Third Law. The third law relates the period of a planet's orbit,
T, to the length of its semimajor axis,
a. It states that the square of the period of the orbit (
T2) is proportional to the cube of the semimajor axis (
a3), and further that the constant of proportionality is independent of the individual planets; in other words, each and every planet has the same constant of proportionality.
Guess what the constant of proportionality contains? It contains
π=3.1416... , and yes this is a "kinematic" example. The law is based on empirical data.
It is absolutely ludricious to consider a static
π and a kinematic π, let alone they should have different values. It reflects Mathis' nonsensical mathematics in this case.
Regards
Steven