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- W1617388830 abstract "According to the Titius-Bode law, the planetary distances to the sun follow a geometric progression. We review the major interpretations and explanations of the law. We show that most derivations of Titius-Bode law are implicitely based on the assumption of both rotationaI and scale invariance. In absence of any radial length scale, linear instabilities cause periodic perturbations in the variable x = ln(r/r 0 ). Since maxima equidistant in x obey a geometric progression in the variabIe r, Titius-Bode type of laws are natural outcome of the linear regime of systems in which both symmetries are present; we discuss possible nonlinear corrections to the law. Thus, if Titius-Bode law is real, it is probably only a consequence of the scale invariance of the disk which gave rise to the planets" @default.
- W1617388830 created "2016-06-24" @default.
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- W1617388830 date "1994-02-01" @default.
- W1617388830 modified "2023-09-27" @default.
- W1617388830 title "Titius-Bode laws in the solar system. 1: Scale invariance explains everything" @default.
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