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Astron. Astrophys. 335, 281-286 (1998)

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Scale relativity and quantization of the solar system

Orbit quantization of the planet's satellites

R. Hermann 1, G. Schumacher 2 and R. Guyard 2

1 Institut d'Astrophysique de Cointe, Université de Liège, B-4000 Liège, Belgium (R.Hermann@ulg.ac.be)
2 Observatoire de la Côte d'Azur, Département Augustin Fresnel, UMR 6528 du C.N.R.S., av. Copernic, F-06130 Grasse, France (schumacher@obs-azur.fr)

Received 26 January 1998 / Accepted 20 March 1998


In a first paper Nottale, Schumacher and Gay have given the bases of the Scale Relativity theory applied to the gravitational field, which leads to the quantization of the solar system. In the present paper we show that one more class of objects of the solar system satisfy the rule of quantization, this class including the main satellites and rings of the outer planets. We also give a classification of the satellites by rank, showing that one can predict the existence of certain orbits that are not occupied, or whose objects are not yet discovered.

Key words: chaos – gravitation – planets and satellites: general – solar system: general

Send offprint requests to: G. Schumacher

© European Southern Observatory (ESO) 1998

Online publication: June 12, 1998