I calculate the rate of WIMP capture and annihilation in the Earth in the
non-relativistic effective theory of dark matter-nucleon interactions.
Neglecting operator interference, I consider all Galilean invariant interaction
operators that can arise from the exchange of a heavy particle of spin less
than or equal to one when WIMPs have spin 0, 1/2 or 1. I compute position and
shape of the expected resonances in the mass - capture rate plane and show that
Iron is not the most important element in the capture process for many
currently ignored interaction operators. I compare these predictions with the
recent results of an Earth WIMP analysis of IceCube in the 86-string
configuration and set limits on all isoscalar and isovector coupling constants
of the effective theory of dark matter-nucleon interactions. For certain
interaction operators and for a dark matter particle mass of about 50 GeV, I
find that these limits are stronger than those I have previously derived in an
analysis of the solar WIMP search performed at IceCube in the 79-string
configuration.