  In this paper, we compute the local relative character for 10 strongly
tempered spherical varieties in the unramified case. We also study the local
multiplicity for these models. By proving a multiplicity formula, we show that
the summation of the multiplicities is always equal to 1 over each local
tempered Vogan $L$-packet defined on the pure inner forms of the spherical
varieties. Finally, we formulate the Ichino-Ikeda type conjecture on a relation
between the period integrals and the central values of certain automorphic
$L$-functions for those strongly tempered spherical varieties.
