Harmonic resonances of planet and moon orbits - From the Titius-Bode law to self-organizing systems arXiv:1701.
On the origin of the gravitational quantization: The Titius-Bode law.
Jaume Llibre and Conchita Pinol of the University ofBarcelona in Spain say they can explain the Titius-Bode law
by gravity if they take into account the sun's motion around the center of the Milky Way galaxy.
The exo-planetary system of 55 Cancri and the Titius-Bode law
By the 18th century, the Titius-Bode law
, a numerical sequence that seemingly represented the orbital layout of the solar system and even accounted for the discovery of Uranus at the next appropriate distance from the Sun, persuaded many astronomers to expect that another new planet would be found in the gap at 2.
Firstly, there exists some astronomical phenomena that could not be interpreted by the present theories of gravitation, for instance, the Titius-Bode law
When Giuseppe Piazzi spotted Ceres in 1801, he was immediately hailed for discovering the "missing" planet that had been predicted by the Titius-Bode law
to lie between Mars and Jupiter (S&T: February 2001, page 49).
Now there were two planets where the Titius-Bode law
said there should be one.