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Aaron Tovish's avatar

In a spherical wave guide, near the signal, the strength of the signal drops off as the inverse of distance. At the "equator" of the impulse, the signal doesn't diminish, and further away it can actually increase. At the antipode, it can be quite strong again -- but chaotic, since the many converging impulses are not necessarily in phase after the long journey half way around the world.

There are some interesting examples of earthquake waves also experiencing antipodal amplification.

JJD's avatar
Jan 23Edited

It is worth remembering that the original NASA plan for an Earth satellite was Vanguard, which was a radio beeper in a gold-plated spherical shell (I think around 30 cm diameter). It was to be launched on a custom designed rocket that was supposed to be a technological wonder. When Sputnik I went up, Vanguard wasn't ready, and Plan B was the Explorer satellite on a US Army Jupiter-C ICBM. Months later, NASA embarrassed themselves by publicly broadcasting a series of attempted Vanguard launches, each one exploding immediately upon lift-off. A consultant figured out that the NASA engineers had only analyzed the vibrational modes of the rocket with one end on the launch pad. As soon as the rocket lifted off, the vibrational pattern changed significantly and the rocket's flimsy—er, optimized—structure failed. With reinforced structure, one Vanguard rocket finally got its shiny little payload into orbit.

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