ON VERIFICATION OF THE ASYMPTOTIC MODEL OF THE 1ST KIND

For the case of closed Friedmann models with the cosmological constant , an 'N-lambda' dependence is Plotted, where N is the conformal time o f existence of the Universe, and lambda is the ratio of the cosmologic al constant to its Einstein's value. The observational properties of t he asymptotic model of the first kind (the so-called A1 model) corresp onding to the maximum of this dependence are analyzed. For the matter- dominated models, the maximum is achieved at the point lambda = 1. For mulae for the calculation of the age of the Universe and for that of t he photometric distance in the A1 model are deduced. The observational properties of the A1 model are compared to the corresponding properti es of the standard cosmological model (lambda = 0) which does not occu py any special distinguished position on the 'N-lambda' diagram. It is shown that from the standpoint of the modem observational cosmology t hese two models cannot be told one from another. However, the A1 model has better standing from the viewpoint of the 'strong' wordings of th e anthropic cosmological principle.