The natural frequency of earth is [Unparseable Latex Formula] hertz. This is equal to the ratio of the gravitational acceleration 9.8 m/s² divided by the escape velocity of 11,000 m/s and multiplied by [Unparseable Latex Formula] where [Unparseable Latex Formula] is the angle between the tangent and velocity vector at a point. The equation for the escape velocity as a function of angle φ is [Unparseable Latex Formula]
At the velocity of 11,000 m/s, the angle comes out to be about 89.999994904°, which is practically vertical ascent. At light speed, the angle is 89.999158476°. At angle of 0°, the absolute magnitude of the velocity vector is 4,635,792,013 times light speed.
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