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The spectra of heavy quarkonia are studied in two approaches: with the use ofthe Afonin-Pusenkov representation of the Regge trajectory for the squaredexcitation energy $E^2(nl)$ (ERT), and using the relativistic Hamiltonian withthe universal interaction. The parameters of the ERTs are extracted fromexperimental mass differences and their values in bottomonium: the intercept$a(b\bar b)=0.131\,$GeV$^2$, the slope of the orbital ERT $b_l(b\bar b)=0.50$\,GeV$^2$, and the slope of the radial ERT, $b_n(b\barb)=0.724$\,GeV$^2$, appear to be smaller than those in charmonium, where$a(c\bar c)=0.381$\,GeV$^2$, $b_l(c\bar c)=0.686$\,GeV$^2$, and the radialslope $b_n(c\bar c)= 1.074$\,GeV$^2$, which value is close to that in lightmesons, $b_n(q\bar q)=1.1(1)$\,GeV$^2$. For the resonances above the $D\bar D$threshold the masses of the $\chi_{c0}(nP)$ with $n=2,3,4$, equal to 4218\,MeV,4503\,MeV, 4754\,MeV, are obtained, while above the $B\bar B$ threshold theresonances $\Upsilon(3\,^3D_1)$ with the mass 10693\,MeV and$\chi_{b1}(4\,^3P_1)$ with the mass 10756\,MeV are predicted.

Radial and orbital Regge trajectories in heavy quarkonia