A stochastic Burgers-Zeldovich model for the formation of planetary ring systems and the satellites of Jupiter and Saturn

Neate, Andrew; Truman, Aubrey
March 2013
Journal of Mathematical Physics;Mar2013, Vol. 54 Issue 3, p033512
Academic Journal
We consider a proto-ring nebula of a gas giant such as Neptune as a cloud of gas/dust particles whose behaviour is governed by the stochastic mechanics associated to the Kepler problem. This leads to a stochastic Burgers-Zeldovich type model for the formation of planetesimals involving a stochastic Burgers equation with vorticity which could help to explain the turbulent behaviour observed in ring systems. The Burgers fluid density and the distribution of the mass M(T) of a spherical planetesimal of radius δ are computed for times T. For circular orbits, sufficient conditions on certain time averages of δ2 are given ensuring that VarM(T) ∼ 0 as T ∼ ∞. Some applications are given to the satellites of Jupiter and Saturn, in particular giving a possible explanation of the equal mass families of satellites.


Related Articles

  • WILL SANTA NEED TO VISIT OTHER PLANETS?  // Laboratory News;Dec2016, p43 

    In this article, the author focuses on planets including Mercury, Mars and Neptune while mentioning that Mercury has colonisation of the inner solar system and also mentions the due to distance from Sun Neptune receives very little heat.

  • Create an Extraterrestrial!  // Scholastic News -- Edition 4 (Teacher's Edition);11/15/2002, Vol. 65 Issue 9, p4 

    Presents information on the planets in the solar system. Pluto; Neptune; Uranus; Saturn; Jupiter.

  • The Planets: Motion, Distance, and Brightness.  // World Almanac & Book of Facts;2008, p327 

    An almanac entry about the motion, distance and brightness of the planets in the solar system is presented. The mean daily motion of Mercury is 14,732 seconds of arc per day. The orbital velocity of Venus is 21.76 miles per second. The Earth's sidereal revolution is 365.256 days. Neptune's...

  • Solar system: Interplanetary kidnap. Morbidelli, Alessandro // Nature;5/11/2006, Vol. 441 Issue 7090, p162 

    The article focuses on the proposed model for the capture of Triton which will become a mainstay for models of the origin of irregular satellites. The capture mechanism requires that their orbital velocity inside the binary is large enough to cancel out a substantial fraction of the velocity of...

  • Quantum mechanics of a hydrogen atom: A new look at problems and a new approach to their explanation. Gudym, V. K.; Andreeva, E. V. // Physics Essays;2013, Vol. 26 Issue 2, p263 

    It is shown that the difficulties of quantum mechanics of a hydrogen atom arose as a result of our incomplete comprehension of the character of forces between an electron and a proton. To overcome these difficulties, we propose a binomial form of the law of the interaction of the electron with...

  • The solar system beyond Neptune. Miles, Richard // Journal of the British Astronomical Association;Feb2009, Vol. 119 Issue 1, p47 

    The article reviews the book "The Solar System Beyond Neptune," edited by M. Antonietta Barucci.

  • Formation of Planetesimals in the Trans-Neptunian Region of the Protoplanetary Disk. Makalkin, A. B.; Ziglina, I. N. // Solar System Research;Jul/Aug2004, Vol. 38 Issue 4, p288 

    We consider the formation of comet-like and larger bodies in the trans-Neptunian region of the protoplanetary gas-dust disk. Once the particles have reached 1-10 cm in size through mutual collisions, they compact and concentrate toward the midplane of the disk to form a dust subdisk there. We...

  • The tenth planet.  // Astronomy;Jan2006, Vol. 34 Issue 1, p48 

    This article reports on the discovery of a body in space larger than Pluto and possibly the largest object found in the solar system since the discovery of Neptune in 1846. Nicknamed "Xena," the object is being referred to as the 10th planet. Michael Brown of the Gemini Observatory, where the...

  • Ejecting the Kuiper Belt. D.T. // Sky & Telescope;Apr2004, Vol. 107 Issue 4, p23 

    Reports that a study by Harold F. Levison and Alessandro Morbidelli sheds some light on how the Kuiper Belt came into existence. Suggestion that Kuiper Belt objects formed inside the present orbit of Neptune and that the planet itself gradually pushed them outward.


Read the Article

Courtesy of your local library

Public Libraries Near You (See All)
Looking for a Different Library?

Other Topics