The increase in exploration intensity in the near-Earth space (NES) and of its technogenic contamination, along with a consequent growth of space objects (SO) breakups and collisions threatening space flights turn the problem of danger estimations into an acute and urgent issue, its validity being among the most important aspects. How- ever, in practice, due to complexities in obtaining accurate estimates caused by large initial data uncertainty, one often has to dramatically simplify calculations neglecting multiple factors of great importance. The article touches upon the problems of defining and applying the estimates of potential danger of SO breakups, danger of collisions between active spacecraft and SO, as well as describes the possible ways to make estimations more correct.