  A simple method for the extraction of the times of maximal emission for kaons
and pions using the combined fitting of their transverse momentum spectra and
the longitudinal interferometry radii dependencies on the pair transverse mass
$m_T$ is applied to Pb+Pb collisions at the LHC energy $\sqrt{s_{NN}}=5.02$
TeV. The method is based on the analytical formulas, that were earlier
successfully utilized in the studies of Pb+Pb collisions at
$\sqrt{s_{NN}}=2.76$ TeV. To test the method, the spectra, radii and particle
radiation picture are calculated within the integrated hydrokinetic model
(iHKM), that includes all the stages of the matter evolution in high-energy A+A
collisions: the system's formation, its thermalization, viscous hydrodynamics
evolution, particlization and subsequent hadronic cascade. The model describes
and predicts well already published LHC data in "soft physics? kinematic
region. Thus, the fitting results for maximal emission times of kaons and pions
are compared to the approximate maximal emission time values, estimated based
on the emission function plots, obtained in iHKM. The developed simple method
is intended for use in experimental analysis of femtoscopy data in relativistic
A+A collisions.
