Spherical meteoroids orbiting the Sun experience orbital decay due to the Poynting-Robertson effect and can become trapped in commensurability resonances with a planet . Detail conditions for trapping in the planar circular restricted three-body problem with action of solar electromagnetic radiation on spherical grain are presented . The results are given in terms of the radiation presure factor \beta . In general , the greater value of \beta , the shorter capture time in a resonance . Captures of particles may be even several times longer than it is presented in literature . Analytical formula for maximum capture times is given . Analytical theory for minimal capture eccentricities is presented . The obtained analytical results differ from those presented in the literature . However , the known analytical results are not very consistent with our detail numerical computational results for \beta - values 0.01 and 0.05 and for the planet Earth . Minimum eccentricities for captures into resonances are also smaller , even in order of magnitude , than the published values . The presented results enable comparison with calculations for nonspherical particles .