Scholarly record
THE CREATION OF DIGITAL SATELLITE SELENOCENTRIC MAPS USING FRACTAL GEOMETRY AND MULTI-PARAMETER HARMONIC MODELING
Abstract
This work aims at the creation of digital selenographic satellite maps (DSSM) using fractal geometry and multi-parameter harmonic analysis. The observational data for DSSM were produced by the ?Clementine?, ?Kaguya? and ?LRO? space missions. An electronic database on altimetry measurements was built and they were brought into the single reference system by robust modeling. Based on the produced data and the method of multi-parameter harmonic analysis, we developed a digital selenographic satellite map covering the entire sphere of the Moon. To analyze the digital cartographic surface, we used the method of fractal geometry for estimating fractal similarity coefficients and fractal dimensions. As a result, the data on the areas of similar structure of DSSM were produced. According to some modern investigations, one may conclude that those areas were formed at the equivalent chemical and physical processes. This conclusion is important for developing planetary evolution theories. The digital map was transformed into a color map depending on color height scale. After that more than 150 SRGB (Square, Red, Green, Blue) were analyzed. Using the author?s method of fractal analysis, we found color characteristics for SRGB. The averaged fractal dimension of the selenocentric surfaces profiles models was found to 1.345. The similarity and difference parameters are determined by the author?s method using fractal similarity coefficients. The analysis of macrosurfaces based on multi-parameter and fractal methods for the selenocentric models built in this work has not been conducted before. These results are of significant importance for selecting the most suitable zone for spacecraft landing on the Moon and placing habitable and robotic lunar bases.
Publication Impact Profile
- Captures
- Mendeley - Readers: 1
Publication details
References14
Araki H., et al., Lunar global shape and polar topography derived from Kaguya-LALT laser altimetry, Science, Vol. 323/issue 5916, pp 897-900, 2009.
Nefedyev Yu. A., Andreev A. O., Petrova N.K., Demina N.Yu. and Zagidullin A. A. Creation of a Global Selenocentric Coordinate Reference Frame, Astronomy Reports, Vol. 62, No. 12, pp. 1015–1019, 2018.
Usanin V.S., Nefedyev Y.A., Andreev A.O. Use of long-term nongravitational force models for fitting astrometric observations of comet Encke, Advances in Space Research, Vol. 60/ Issue 5, pp. 1101-1107, 2017.
Rizvanov N. G., Nefed’ev Y. A., Kibardina M. I., Research on selenodesy and dynamics of the Moon in Kazan, Solar System Research, Vol. 41/issue 2, pp 140-149, 2007.
Lapaeva V.V., Meregin V.P. and Nefedjev Y.A., The Study of the Local Fluctuations of the Earth's Crust Using Data of Latitude Observations, Geophysical Research Letters, 32, L24304, 2005.
Demina N.Y., Andreev A.O., Nefedyev Y.A., Akhmedshina E.N. and Demin S.A., Analysis of the surfaces and gravitational fields of planets using robust modeling methods, Journal of Physics: Conference Series, Vol.1400/issue 022019, 2019.
Nefedjev Y.A. and Nefedjeva A.I., Determination of refraction anomalies by global inclinations of airstratas of identical density, Astronomische Nachrichten, Vol. 326/Issue 8, pp. 773-776, 2005.
Nefedjev Yu.A., Rizvanov N.G. Photographic observations of Solar System bodies at the Engelhardt astronomical observatory, Astronomy and Astrophysics, N 444, pp. 625 - 627, 2005.
Petrova N. K., Nefedyev Yu.A., Zagidullin A. A., and Andreev A. O., Use of an Analytical Theory for the Physical Libration of the Moon to Detect Free Nutation of the Lunar Core, Astronomy Reports, Vol. 62, No. 12, pp. 1020–1024, 2018.
Varaksina N.Y., Nefedyev Y.A., Churkin K.O., Zabbarova R.R. and Demin S.A. Selenocentric reference coordinates net in the dynamic system, Journal of Physics: Conference Series, Vol. 661/ Issue 1, 2, No 012014, 2015.
Churkin K. O., Andreev A. O., Nefedyev Yu.A., Petrova N.K., and Demina N.Yu., Studies of Modern Star Catalogs Based on Photoelectric Observations of Lunar Occultations of Stars, Astronomy Reports, Vol. 62, No. 12, pp. 1041–1048, 2018.
Nefedjev Yu.A., Rizvanov N.G. The results of an accurate analysis of EAO charts of the Moon marginal zone constructed on the basis of lunar occultations, Astronomosche Nachrihten, AN 323, pp. 135-138, 2002.
Demin S.A., Andreev A.O., Demina N.Y., Nefedyev Y.A. The fractal analysis of the topography and gravitational field of Venus, Journal of Physics: Conference Series, Vol.1038/issue 1., Art. no. 012020, 2018.
Zagidullin A.A., Petrova N.K., Usanin V.S., Analysis of orbital theories for the construction of the numerical theory of the lunar physical librations, Journal of Physics: Conference Series, Vol. 1038, No 1, Article Number 012004, 2018.
View or Download full articleAccess options
SWS access login
Login as SWS Scientific CommitteeLogin as SWS Scientific PartnerLogin as SWS AuthorAuthors and approved SWS contributors will read and export their own linked papers after identity matching by SWS profile, email and SGEM GlobalID.
For librarian assistance: [email protected]
Purchase Instant Access
- Article can be downloaded after successful payment.
- Article may be used according to SWS library access terms.
- Article cannot be redistributed.