  We extend our recent non-perturbative chiral SU(3) coupled channel approach
to pion- and photon-induced $\eta$- and $K$-meson production off protons by
including all strong and electromagnetic p-wave multipoles. We identify the
p-wave amplitudes of the next-to-leading order SU(3) chiral meson-baryon
Lagrangian with a coupled channel potential which is iterated to infinite
orders in a separable Lippmann-Schwinger equation. Our approach to $\eta$- and
$K$-photoproduction introduces no additional free parameters. By adjusting a
few finite range parameters and the unknown parameters in the Lagrangian, we
are able to simultaneously describe a very large amount of low-energy data.
These include the total and differential cross sections of the $\pi$-induced
reactions $\pi^- p \to \eta n, K^0 \Lambda, K^0 \Sigma^0, K^+ \Sigma^-$ and
$\pi^+ p \to K^+ \Sigma^+$ as well as those of photoproduction $\gamma p \to
\eta p, K^+\Lambda, K^+ \Sigma^0, K^0 \Sigma^+$. The polarization observables
measured in $\eta$- and $K$-photoproduction are particularly sensitive to
interference terms between the s- and p-wave multipoles. The total cross
section data are remarkably well reproduced in all channels. There remain,
however, some open questions concerning details of angular distributions and
polarization observables.
