caa a22 4500 445863552 CHVBK 20180317145450.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10569-011-9365-z doi (NATIONALLICENCE)springer-10.1007/s10569-011-9365-z Avdyushev Victor Celestial Mechanics and Astrometry Department, Applied Mathematics and Mechanics Institute, 634050, Tomsk, Russia aut Nonlinear methods of statistic simulation of virtual parameter values for investigating uncertainties in orbits determined from observations [Elektronische Daten] [Victor Avdyushev] Determination of orbital parameters from observations is formally a nonlinear inverse problem for solving which evidently nonlinear methods are required. Meanwhile, an accompanying stage in solving the inverse problem is the evaluation of parametric accuracy to which, however, linear methods are conventionally applied. This is quite justified if parametric errors caused by observation errors are rather small, otherwise this is not at all since the nonlinearity of the inverse problem can be considerable to influence on the evaluations of parametric accuracy especially when the observations are very few. With the advent of quick-operating and multiprocessor computers, recently one tends to employ statistic simulation of virtual parameter values for investigating uncertainties in orbits determined from observations. In the paper are just discussed the methods designed specially for nonlinear statistic simulation of virtual parameter values. Their efficiency is investigated in application to estimating uncertainties in the orbit of Jovian satellite S/2003 J04 whose orbital parameters are ill-determined owing to scanty available observations. Indices of nonlinearity are introduced for making decision in the choice between linear and nonlinear methods. Springer Science+Business Media B.V., 2011 Statistical methods nationallicence Inverse problems nationallicence Numerical integration nationallicence Orbital motion nationallicence Confidence region nationallicence Jupiter satellites nationallicence Celestial Mechanics and Dynamical Astronomy Springer Netherlands 110/4(2011-08-01), 369-388 0923-2958 110:4<369 2011 110 10569 https://doi.org/10.1007/s10569-011-9365-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-011-9365-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Avdyushev Victor Celestial Mechanics and Astrometry Department, Applied Mathematics and Mechanics Institute, 634050, Tomsk, Russia aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 110/4(2011-08-01), 369-388 0923-2958 110:4<369 2011 110 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer