Confidence in the understanding of past climate change and changes in orbital forcing is strengthened by the improved ability of current models to simulate past climate conditions. (ipcc.ch)
Based just on orbital forcing, and following previous ice age cycles, we are due for a long period of gradual cooling to the next ice age. (realclimate.org)
For the first few centuries, following orbital forcing and ice sheet decay properties, the climate warmed a bit. (realclimate.org)