# 太阳系行星、规则卫星距离规律的物理意义Physical Significance of the Distance Law of Planets and Reg-ular Satellites

Abstract:
In this paper, the nebula during the solar system formation period is assumed to be distributed in disk form, and the nebula material was rotating around the sun following Kepler’s laws. If the distance of a rotating planetary fetal from the sun is R and its period of revolution is T, the period of revolution of the nebula material at a distance of 1.5874R should be 2T following Kepler’s third law. Therefore, 1) the locations, where the collisions and the superior conjunctions for the planetary fetals at distances 1R and 1.5874R to occur, should keep invariant; 2) when their included angle is 180 degree, the disturbing force on the nebula at distance 1.5874R caused by the planetary fetal at distance R will appear at the same radius vector; 3) during the same evolution period, the number of collisions and superior conjunctions for them will be the most. Due to the integrated combining actions by the three factors mentioned above, the nebula disk at distance 1.5874R will form gaps to contract towards the planetary fetal at distance R, resulting to the fact that the distance ratios of two neighboring planets or satellites are usually around the constant 1.5874. The gaps in the rings of Saturn, Uranus and Neptune were just caused by disturbing forces of satellites based on the rules found, i.e., a ring gap at R usually corresponds to a satellite at distance 1.5874R. According to deduction from Kepler’s third law, the distance law of planets and regular satellites are decided by three factors, i.e., the constant 1.5874, the orbital eccentricity and the mass of the planet or satellite. The larger for the orbital eccentricity, the larger for the distance ratio; the larger mass for a planet or satellite, the larger distance from the planet or satellite inside and therefore closer to the ones outside.

[1] 戴文赛. 天体的演化[M]. 北京: 科学出版社, 1977: 87.

[2] L. Basano, D. W. Hughes. A modified titius-bode law for planetary orbits. Nuovo Cimento C, 1979, 2C(5): 505-510.

[3] R. Neuhaeuser, J. V. Feitzinger. A generalized distance formula for planetary and satellite systems. Astronomy and Astrophysics, 1986, 170(1): 174-178.

[4] J. J. Rawal. Planetary distance law. Earth, Moon, and Planets, 1989, 44(3): 295-296.

[5] S.-I. Ragnarsson. Planetary distances: A new simplified model. Astronomy and Astrophysics, 1995, 301: 609.

[6] J. J. Rawal. Planetary distance law and resonance. Journal of Astrophys-ics and Astronomy, 1989, 10(3): 257-259.

[7] A. Poveda, P. Lara. The exo-planetary system of 55 cancri and the titius-bode law. Revista Mexicana de Astronomía y Astrofísica (Serie de Conferencias), 2008, 34: 49.

[8] K. P. Panov. The orbital distances law in planetary sys-tems. The Open Astronomy Journal, 2009, 2(1): 90-94.

[9] 戴文赛. 太阳系演化学(上册)[M]. 上海: 科学技术出版社, 1979.

[10] 陈载璋, 胡中为. 天文学导论(上册)[M]. 北京: 科学出版社, 1983

[11] 张明昌, 肖耐园. 天文学教程(上册)[M]. 上海: 上海高等教育出版社, 1987.

[12] 百度知道[URL]. http://zhidao.baidu.com/question/42087024.html

[15] 国家航天局. 土星卫星的新发现[URL], 2004. http://www.cnsa.gov.cn/n615708/n620172/n677078/n751579/59588.html

[17] 百度百科. 天王星[URL]. http://baike.baidu.com/view/3092.htm

Top