In addition, the paper briefly discusses quantum mechanical nature of rings of heavy planets and potential usefulness of the obtained results for cosmology.ĭavid Craig (1919–2015) left us with a lasting legacy concerning basic understanding of chemical spectroscopy and bonding. To test correctness of our theoretical predictions the number of allowed stable orbits for planets and for equatorial stable orbits of satellites of heavy planets is calculated resulting in good agreement with observational data. When superimposed with the equivalence principle of general relativity, they lead to quantum mechanical tratment of observed resonances in Solar System. In this paper new uses of Heisenberg's ideas are found. The solution of quantization puzzle was found by Heisenberg. In short, the rationale for its birth lies in simplicity with which the same type of calculations are done using new methods capable of taking care of resonances.
With such a success, the birth of new quantum mechanics is difficult to understand. The resonances in Solar System are similar to those encountered in old quantum mechanics where applications of methods of celestial mechanics to atomic and molecular physics were highly sucsessful. These conditions, known as resonance conditions, make uses of theories such as KAM difficult to implement. From empirical observations it is known that the sum of n(i)w(i)=0 (or the sum of n(j)w(j i)=0) for some integers n(i) (or n(j)), different for different satellite systems. Let w(i) be a period of rotation of the i-th planet around the Sun (or w(j i) be a period of rotation of j-th satellite around the i-th planet).
0 kommentar(er)
