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HD 82943 hosts a mysterious multi-planet system in the 2:1 mean-motionresonance that puzzles astronomers for more than a decade. We describe our newanalysis of all radial velocity data currently available for this star,including both the most recent Keck data and the older but more numerousCORALIE measurements.  Here we pay a major attention to the task of optimal scheduling of the futureobservation of this system. Applying several optimality criteria, wedemonstrate that in the forthcoming observational season of HD 82943 (thewinter 2014/2015) rather promising time ranges can be found. Observations ofthe near future may give rather remarkable improvement of the orbital fit, butonly if we choose their time carefully.

On the orbital structure of the HD 82943 multi-planet system