Experiments with "wide field" for Space Surveillance Systems in Odessa Astronomical observatory (Ukraine). Prodolzhen eksperiment s "shirokim polem" dlya zadach kontrolya kosmicheskogo prostranstva v Odesskoy astronomicheskoy observatorii
Sukhov, P. P.
In OAO on point Mayaki (40 km for city) is continued observations geostationary (GSS) and low orbital (LEO) satellites with using more inexpensive domestic, "ready to use", wide field optic lens for the reason: To get limited magnitude on high orbital cosmic object (HEO) to 15m in to view telescope 3 -7 degrees for time accumulation 10-15 sec. To value the possibility of the use WFO for monitoring LEO on low orbit by height less than 2 000 km with limited magnitude to 11m on star for 1 sec. accumulations. 90% LEO from 39 objects are surely identified using catalog NORAD. About obtain the results possible to read in article: "About using wide field lens optics for Space Surveillance Systems in Odessa Astronomical observatory" (in Russian).
About using wide lens field optics for observations artificial satellites and space surveillance (O primenenii shirokopol'nykh linzovykh ob"yektivov dlya zadach kontrolya kosmicheskogo prostranstva, on Russian)
Sukhov, P. P.; Volkov, S. K.; Karpenko, G. F.; Gubin, E. G.; Titenko, V. V.; Yamnitsky, V. A.; Tkachenko, A. A.
On base results of the observations in Odessa astronomical observatory (Ukraine), is shown. The possibility of the using domestic wide field lens optics for monitoring high orbital objects. With wide field lens optics "Tair-19 5003", limited mag = 15m.5 per 10 seconds of the accumulation, average square-error (ASE) of the measurements of the coordinates slowly moving GSS not more than 2 arcsec. About 90% measurements has ASE less 1 arcsec. At surveillance of the area of the equator by width 5° areas 500 square deg. are discovered 46 active GSS, 12 passive GSS and 2 high elliptical orbital satellites (HEO). Is shown perspective possibility of the use WFO for monitoring LEO height before of 2 000 km. 90% of 39 objects LEO fixed in mode "beam-park" in current 1 hour, surely are identified using catalog NORAD.
Ghose Choudhury, A.; Guha, Partha
We consider a large class of polynomial planar differential equations proposed by Cherkas (1976 Differensial'nye Uravneniya 12 201-6), and show that these systems admit a Lagrangian description via the Jacobi last multiplier (JLM). It is shown how the potential term can be mapped either to a linear harmonic oscillator potential or into an isotonic potential for specific values of the coefficients of the polynomials. This enables the identification of the specific cases of isochronous motion without making use of the computational procedure suggested by Hill et al (2007 Nonlinear Anal.: Theor. Methods Appl. 67 52-69), based on the Pleshkan algorithm. Finally, we obtain a Lagrangian description and perform a similar analysis for a cubic system to illustrate the applicability of this procedure based on Jacobi's last multiplier. birthday with great respect and admiration.