Abstract
The existence of opposite forces acting on astrophysical bodies, involve that their properties should obey to oscillation symmetry. The oscillation symmetry is applied to several astrophysical properties, like Nebulae radii and magnitudes, Local Group Galaxy masses, luminosities, and diameters, Comet radii, orbital periods, and eccentricities, Black hole masses, orbital periods, and distance from earth, Star masses, magnitudes, and distances from Sun. This symmetry is used to predict some still unknown astronomical properties, namely the properties of two additional possible solar planets. Using the predicted possible masses of these planets the method allows to predict their possible densities, rotation durations, revolution periods, orbital speeds, and eccentricities.
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