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A model of a three Pomeron contribution to high energy elastic $pp$ and $\barp p$ scattering is proposed. The data are well described for all momenta($0.01\le |t|\le 14. GeV^2$) and energies ($8.\le\sqrt{s}\le 1800. GeV$)($\chi^2/{\rm d.o.f.}=2.74$). The model predicts the appearance of two dips inthe differential cross-section which will be measured at LHC. The parameters ofthe Pomeron trajectories are: $\alpha(0)_{{\Bbb P}_1}=1.058, \alpha'(0)_{{\BbbP}_1}=0.560 (GeV^{-2});$ $\alpha(0)_{{\Bbb P}_2}=1.167, \alpha'(0)_{{\BbbP}_2}=0.273 (GeV^{-2});$ $\alpha(0)_{{\Bbb P}_3}=1.203, \alpha'(0)_{{\BbbP}_3}=0.094 (GeV^{-2}).$Comment: 26 pages, 16 figure

The first three pomerons...