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Scientific paper - Original scientific paper
Stability of gravitationally-bound many-body systems
Fizika B, 4 (1995), 1; 11-28. urn:nbn:hr:217:623040
Rubčić, Antun; Rubčić, Jasna

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Rubčić, A. & Rubčić, J. (1995). Stability of gravitationally-bound many-body systems. Fizika B, 4. (1), 11-28. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:623040

Rubčić, Antun and Jasna Rubčić. "Stability of gravitationally-bound many-body systems." Fizika B, vol. 4, no. 1, 1995, pp. 11-28. https://urn.nsk.hr/urn:nbn:hr:217:623040

Rubčić, Antun and Jasna Rubčić. "Stability of gravitationally-bound many-body systems." Fizika B 4, no. 1 (1995): 11-28. https://urn.nsk.hr/urn:nbn:hr:217:623040

Rubčić, A. and Rubčić, J. (1995) 'Stability of gravitationally-bound many-body systems', Fizika B, 4(1), pp. 11-28. Available at: https://urn.nsk.hr/urn:nbn:hr:217:623040 (Accessed 25 February 2025)

Rubčić A, Rubčić J. Stability of gravitationally-bound many-body systems. Fizika B [Internet]. 1995 [cited 2025 February 25];4(1):11-28. Available at: https://urn.nsk.hr/urn:nbn:hr:217:623040

A. Rubčić and J. Rubčić, "Stability of gravitationally-bound many-body systems", Fizika B, vol. 4, no. 1, pp. 11-28, 1995. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:623040. [Accessed: 25 February 2025]

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Metadata
Title (english)Stability of gravitationally-bound many-body systems
AuthorAntun Rubčić
AuthorJasna Rubčić
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
The semimajor axes of planetary orbits and of major satellites of the planets in the solar system are described by a simple parabolic law, r_n = const×n^2, where n is an integer. The orbital periods T_n are proportional to n_3 , thus obeying the third Kepler's law. The radical change, compared with the previous approaches, is that n = 1 is assigned to all terrestrial planets, n = 2 to Jupiter, etc. This is strongly suggested by the analysis of astronomical data. Hence, terrestrial planets are considered as a subgroup of Jovian planets, and have been formed between the Sun and Jupiter in place of one giant planet of the Jovian group. The reason seems to be the temperature limit of about 200 K, corresponding to a distance of about 5×10^11 ^m (3.4 a.u.), that causes similar consequences as the well-known Roche limit for satellites of a planet. Relationships for r^n, T_n and other relevant quantities, which also depend on the integer n, are related to the discretization of angular momentum per unit mass of orbiting body. The mass of a central body appears as a scaling factor giving a unique approach to all systems. The mean deviation of observed orbital radii from the parabolic law for r_n is from 3.5% to 7.6% , depending on the system. On the basis of the analysis, we propose the hypotheses on stability of gravitationally-bound many-body systems.
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review
Publication versionPublished version
Journal titleFizika B
Numberingvol. 4, no. 1, pp. 11-28
p-ISSN1330-0016
URN:NBNurn:nbn:hr:217:623040
Publication1995
Document URLhttp://fizika.hfd.hr/fizika_b/bv95/b4p011.htm
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-10-06 11:25:06