An alternative theoretical approach to describe planetary systems through a Schrödinger-type diffusion equation

Chaos, Solitons and Fractals

Volumn 21, Issue 1, 2004, Pages 21-28

  De Oliveira Neto, M ^a   Maia, L A ^a   Carneiro, S ^b  

^a UNIVERSITY OF BRASILIA   (Brazil)

^b FEDERAL UNIVERSITY OF BAHIA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; DIFFUSION; FLUID DYNAMICS; GRAVITATIONAL EFFECTS; NUMERICAL METHODS; QUANTUM THEORY; SOLAR SYSTEM; THERMODYNAMICS; TRAJECTORIES; VELOCITY MEASUREMENT;

ASTEROIDS; DIFFUSION EQUATIONS; PLANETARY MEAN DISTANCES;

PLANETS;

EID: 0942299381     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2003.09.046     Document Type: Article

References (26)

1. Oliveira Neto M. Ciência e Cultura. J. Brazil. Assoc. Advance. Sci. 48:1996;166.
2. Carneiro S. Found. Phys. Lett. 11:1998;95.
3. Nottale L. Fractal space-time and microphysics: towards a theory of scale relativity. 1993;World Scientific, Singapore. p. 311.
4. Nottale L. A&A. 315:1996;L9.
5. Nottale L., Schumacher G., Gay J. A&A. 322:1997;1018.
6. Nottale L., Schumacher G., Lefèvre E.T. A&A. 361:2000;379.
7. Agnese A.G., Festa R. Phys. Lett. A. 227:1997;165.
8. Agnese A.G., Festa R. Hadronic J. 21:1998;237.
9. Agnese AG, Festa R. Discretizing u-Andromedae planetary system, 1999. Availble from: 〈astro-ph/9910534〉.
10. Arp H. Seeing red: redshifts, cosmology and academic science. 1998;Apeiron, Montreal. p. 219.
11. Minor Planet Circular, 25441 (07/12/95) and 25184 (05/14/95), International Astronomical Union.
12. Schneider J. Extra-solar planets catalog, 2003. Available from: 〈http://www.obspm.fr/encycl/catalog.html〉.
13. Greenberger D.M. Found. Phys. 13:1983;903.
14. Nelson E. Phys. Rev. 150:1966;1079.
15. El Naschie M.S., Rossler E., Prigogine I. Quantum mechanics, diffusion and chaotic fractals. 1995;Pergamon Press, Oxford.
16. Sidharth B.G. Chaos, Solitons & Fractals. 15:2003;25.
17. Bergia S., Cannata F., Pasini A. Phys. Lett. A. 137:1989;21. and references therein.
18. Hills J.G. Nature. 225:1970;840.
19. Hénon M., Heiles C. Astrophys. J. 69:1964;73.
20. Laskar J. Nature. 338:1989;237.
21. Sussman G., Wisdom J. Science. 257:1992;56.
22. Ince E.L. Ordinary differential equations. 1956;Dover Publications Inc, New York. p. 184 and 464.
23. Polyanin AD, Zaitsev VF. Handbook of exact solutions for ODE. CRC Press, p. 144.
24. Kuiper G.P. Hynek J.A. Astrophysics: a topical symposium. 1951;357 McGraw-Hill.
25. Morbidelli A. Celest. Mech. Dynam. Astron. 72:1999;129.
26. Available from: 〈http://www.newscientist.com/news〉, 7 October 2002.