  The coupled cluster method (CCM) is employed to very high orders of
approximation to study the ground-state (GS) properties of the spin-$s$
Heisenberg antiferromagnet (with isotropic interactions, all of equal strength,
between nearest-neighbour pairs only) on the honeycomb lattice. We calculate
with high accuracy the complete set of GS parameters that fully describes the
low-energy behaviour of the system, in terms of an effective magnon field
theory, viz., the energy per spin, the magnetic order parameter (i.e., the
sublattie magnetization), the spin stiffness and the zero-field (uniform,
transverse) magnetic susceptibility, for all values of the spin quantum number
$s$ in the range $\frac{1}{2} \leq s \leq \frac{9}{2}$. The CCM data points are
used to calculate the leading quantum corrections to the classical ($s
\rightarrow \infty$) values of these low-energy parameters, considered as
large-$s$ asymptotic expansions.
