While the Milankovitch ideas are still enforced on the public as explanation for the ice ages, it is pretty well debunked all over the place.
First problem, the 41ka to 100ka transition is clearly visible in the oceanic proxies, (ka is thousand years)
source:
http://maureenraymo.com/current_projects.php
The dominant 41ka cycle before about 0.9 million years concurs nicely with the Milankovitch cycles. The current much more dominant 100ka cycle has nothing to do with Milankovitch, which can be illustrated also comparing the NH insolation with the ice cores:
Around 425 Ka ago there was not a lot of Milankovitch effect yet we see the strongest 'climate' spike over there, alternately around 225 ka we see very agitated Milakovitch cycles, yet the 'climate' responce was rather mild.
We are just looking at something else here, unidentified, check for instance what
Spencer Weart observes about those 100ka cycles.
As researchers extracted more precise data from the distant past, they discovered that the weak 100,000-year orbital cycle had not always dominated the ice ages after all. Go back more than a million years, and it was the 40,000-year cycle that ruled. The reason for the switch was obscure. The grand puzzle of the ice ages stood unsolved — except insofar as scientists now understood that nobody would ever jump up with a neat single solution
We are working on that, free of AGW bias.
Note that the strong eccentricity cycle is about 430ka with a weak 95ka component, not 100ka at all.