Fractal Patterns in Long-term Behavior of GPS and GLONASS Orbits
| Autor: | Sergey P. Tsarev, Elena V. Ovchinnikova |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
010504 meteorology & atmospheric sciences
business.industry Computation 01 natural sciences Fractal dimension 03 medical and health sciences 0302 clinical medicine Fractal Dimension (vector space) GNSS applications 030220 oncology & carcinogenesis Orbit (dynamics) Global Positioning System GLONASS Statistical physics business 0105 earth and related environmental sciences Mathematics |
| Zdroj: | 2019 International Siberian Conference on Control and Communications (SIBCON). |
| DOI: | 10.1109/sibcon.2019.8729667 |
| Popis: | In this paper we analyze repetitive patterns in GLONASS and GPS satellite orbits for the time span of 1 year using fractal dimension computation. A number of different statistical phenomena for such repetitive patterns at various dimension scales are reported. As we demonstrate below, the expected local dimension 6 does not hold for 1-year sets of GNSS satellite orbits, these sets have much smaller dimensions. The histograms of distributions of the orbit clusters collected in the process of computation of the fractal dimension show remarkable “resonances” for some special values of the box size. |
| Databáze: | OpenAIRE |
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