Ways to improve the characteristics of analyzers and the parameters of ion beams in magnetic-sector time-of-flight mass spectrometers with axisymmetric electrostatic fields are considered. It is shown that the analyzer transmission can be improved by eliminating the edge effects at the analyzer entrance and exit. The limiting ion current through the analyzer is determined, above which the mass resolution decreases by an order of magnitude. A new method is proposed for compensating for the intrinsic space charge of ions. Necessary requirements for the precision of manufacturing mass analyzers are refined.