Nonlinear methods of statistic simulation of virtual parameter values for investigating uncertainties in orbits determined from observations |
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| Authors: | Victor A Avdyushev |
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| Institution: | (1) Corporate Finance and Credit Control—Country Energy, Level 3/8 Buller Street, Port Macquarie, NSW, 2444, Australia;(2) Econometrics and Business Statistics, Building H04, Faculty of Economics and Business, University of Sydney, Sydney, NSW, 2006, Australia |
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| Abstract: | 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. |
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