  We study doubly polarised asymmetries of c-cbar and b-bbar mesons in hadro-
and photo-production at low transverse momentum in non-relativistic QCD to high
orders in the relative velocity of the pair, v. We give the complete set of
expressions required for the asymmetries up to order v^9. The asymmetries in
the production of eta_{c,b} states are a stable measure of the polarised gluon
densities. The asymmetries for chi_{c,b}, J/psi, psi', and the various Upsilon
states are stringent tests of the NRQCD scaling relations.
