Precessions of the Earth and the Bohr atom

Mathematics

Scientific paper

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Atoms, Bohr Theory, Earth (Planet), Mathematical Models, Precession, Annual Variations, Orbital Mechanics, Perigees, Rotation

Scientific paper

An alternative equation to the tidal theory equations of the precession of the Earth is developed. The new equation yields the correct lunisolar secular precession of 50.3'' of arc/yr and has a variable solar component that explains the annual and semiannual variations in the Earth's rotation. The calculated effect of the lunar perigee on excess length of day (l.o.d.) agrees with observations on average l.o.d. during 313 lunar perigees. The l.o.d. values for each day from 1956 to 1979 were calculated from data obtained from the US Naval Observatory. The equation can be applied to the Bohr hydrogen atom and predicts that the electron will counterprecess at the orbital frequency in the first Bohr orbit, and at one-fourth the orbital frequency in the second Bohr orbit.

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