Fractal Properties of the Gas Giants and their satellites within the Solar System

  • Rosen Iliev Institute for Space Research and Technology
  • Boyko Ranguelov University of Mining and Geology “St. Ivan Rilski
Keywords: Solar system, Jupiter, Saturn, Uranus, Neptune, moons, fractal


This study reveals the fractal structure of gas giants and their moons. For this purpose, fractal analysis of Jupiter, Saturn, Uranus, Neptune and 182 moons was performed based on their radius (size). The results obtained reveal the fractal geometry of the planet / moon systems within the outer Solar system (SS). The resulting fractal dimensions (D) range from -0.57 to -1.43, decreasing with distance from the Sun. This requires a thorough analysis.


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Author Biography

Boyko Ranguelov, University of Mining and Geology “St. Ivan Rilski

Department of Applied Geophysics, University of Mining and Geology “St. Ivan Rilski”, Sofia, Bulgaria


Ranguelov, B., Iliev, R., Tzankov, Tz., Spassov, E. (2019) Fractal analysis of the lunar free-air gravity field. To Physics Journal, 2, 126-133.

Mancinelli, P., Pauselli, C., Perugini, D., Lupattelli, A., Federico, C. (2014) Fractal Dimension of Geologically Constrained Crater Populations of Mercury. Pure and Applied Geophysics, Springer Verlag, 172, 7, 1999–2008.

Turcotte, D. (1987) A fractal interpretation of topography and geoid spectra on the Earth, Moon, Venus, and Mars. Journal of Geophysical Research, 92, 597-601.

Demin, S.A., Andreev, A.O., Demina, N.Y. and Nefedyev, Y.A. (2018) The fractal analysis of the topography and gravitational field of Venus. J. Phys.: Conf. Ser. 1038 012020, 1-6 doi :10.1088/1742-6596/1038/1/012020

Ching, D., Taylor, G.J., and Mouginis‐Mark, P.J. (1993) Fractal dimensions of rampart impact craters on Mars. Lunar and Planetary Science Conference, 24, 283-284.

Demin, S.A., Andreev, A.O., Demina, N.Y. and Nefedyev, Y.A. (2017) The fractal analysis of the gravitational field and topography of the Mars. J. Phys.: Conf. Ser. 929 012002, 1-7 doi :10.1088/1742-6596/929/1/012002

Nefedjev, A.Y. (2003) Lunar Surface Research Using Fractal Analysis. The Journal of the Eurasian Astronomical Society, 22, 4-5, 631-632

Baldassarri, A., Montuori, M., Prieto-Ballesteros, O. and Manrubia, S.C. (2008) Fractal properties of isolines at varying altitude revealing different dominant geological processes on Earth. J. Geophys. Res., 113, E09002, doi:10.1029/2007JE003066

Huang, X, Jiang, X., Yu, Т., Yin, H. (2009) Fractal-Based Lunar Terrain Surface Modeling for the Soft Landing Navigation. Second International Conference on Intelligent Computation Technology and Automation, Changsha, Hunan, China, 53-56. doi: 10.1109/ICICTA.2009.250

Rosenburg, M.A., Aharonson, А., Head, J.W., Kreslavsky, M.A., Mazarico, E., Neumann, J.A., Smith, D.E., Torrence, M.H. and Zuber, M.T. (2011) Global surface slopes and roughness of the Moonfrom the Lunar Orbiter Laser Altimeter. Journal of Geophysical Research, 116. doi: 10.1029/2010JE003716

Cao, W., Cai, Zh. and Tang, Z. (2015) Fractal structure of lunar topography: An interpretation of topographic characteristics. Geomorphology, 238, 112-118. doi: 10.1016/j.geomorph.2015.03.002

Bray, V.J., Atwood‐Stone, C., Neish, C.D., Artemieva, N.A., McEwen, A.S., and McElwaine, J.N. (2018) Lobate impact melt flows within the extended ejecta blanket of Pierazzo crater. Icarus, 301, 26–36. 10.1016/j.icarus.2017.10.002

Kumar, A.V.S., Sekhar, R.P.R. and Tiwari, R.M. (2016) Fractal Analysis of lunar Gravity anomalies over the Basins of Lunar Farside. 19th National Space Science Symposium (NSSS-2016), Kerala, India, Poster Session.

Ranguelov, B., Iliev, R., Frantzova, A. And Tzankov, Tz. (2019) Fractal analysis of the lunar Bouguer gravity field. To Physics Journal, 3, 77-88.

Cabane, M., Rannou, P., Chassefiere, E. and Israel, G. (1993) Fractal aggregates in Titan's atmosphere. Planetary and Space Science, 41, 4, 257-267;

Ranguelov, B. and Iliev, R. (2019) Fractal Universe: A Case Study of Solar System. LAMBERT Academic Publishing (LAP). Düsseldorf, Germany, 133p.

How to Cite
Iliev, R., & Ranguelov, B. (2019). Fractal Properties of the Gas Giants and their satellites within the Solar System. To Physics Journal, 4, 8-15. Retrieved from
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