We present theoretical calculations of thermally averaged elastic cros
s sections and spin-relaxation rate coefficients in the temperature ra
nge 0.1 to 300 mu K for magnetically trapped, doubly polarized cesium
atoms. The calculations reproduce the recent experimental results of A
rndt et al. (1997) and Soding et al. (1998) for cases where the a (3)S
igma(u) ground state potential of Cs-2 possesses a large scattering le
ngth (\A(3)\ > 35 nm) and the magnitude of the second-order spin-orbit
interaction is scaled to reproduce room temperature scattering data.