  The critical current modulation and the spontaneous flux of the vortex states
in corner Josephson junctions between Sr$_2$RuO$_4$ and a conventional s-wave
superconductor are calculated as a function of the crystal orientation, and the
magnetic field. For Sr$_2$RuO$_4$ we assume two nodeless p-wave pairing states.
Also we use the nodal $f$-wave states $B_{1g}\times E_u$ and $B_{2g} \times
E_u$, and one special p-wave state having line nodes. It is seen that the
critical current depends solely on the topology of the gap.
