  Two charm-strange mesons, the $D_{s1}^*(2710)$ and the $D_{sJ}^*(2860)$, have
recently been observed by several experiments. There has been speculation in
the literature that the $D_{s1}^*(2710)$ is the $2^3S_1(c\bar{s})$ state and
the $D_{sJ}^*(2860)$ is the $1^3D_1(c\bar{s})$ state. In this paper we explore
this and other explanations in the context of the relativized quark model and
the pseudoscalar emission decay model. We conclude that the $D_{s1}^*(2710)$ is
most likely the $1^3D_1 (c\bar{s})$ state and the $D_{sJ}^*(2860)$ is most
likely the $1^3D_3 (c\bar{s})$ state with the $1D_2$ resonances also
contributing to the observed signals and explaining the observed ratios of
branching ratios to $D^*K$ and $DK$ final states. We point out that measuring
the $D_{sJ}^*(2860)$ spin can support or eliminate this explanation and that
there are six excited $D_s$ states in this mass region; the $2^3S_1$, $2^1S_0$,
$1^3D_1$, $1^3D_3$ and two $1D_2$ states. Observing some of the missing states
would help confirm the nature of the $D_{s1}^*(2710)$ and the $D_{sJ}^*(2860)$
states.
