The articles try to do some sleight-of-hand poorly. It goes on at great length about the accepted Milankovitch cycles (mostly taken straight from the NASA article, the same agency which is supposed to be untrustworthy) to pad its scientific credibility. Then leaps to its conclusion while providing no evidence, instead banging on about conspiracies.
The article itself contains the central problem with their thesis.
“… orbital variations remain the most thoroughly examined mechanism of climatic change on time scales of tens of thousands of years and are by far the clearest case of a direct effect of changing insolation on the lower atmosphere of Earth.”
(Note that Milankovitch cycles' effect on long-term climate is not clear. This quote is pulled, out of context, from 1982, 37 years ago. We've gotten better at climate science since.)
Milankovitch cycles happen on a scale of tens of thousands of years. And we are indeed in an interglacial warm period. However those long-term cycles do not explain the observed temperature variations in mere decades.
Source: NASA
Furthermore, the observed changes in solar radiation, 0.05 Watts/m^2, do not match with the change necessary to produce the observed climate change of about 2.8 Watts/m^2.
Source: IPCC
These sort of "gotcha" articles come from a gross misunderstanding of how climate models work. They disingenuously expect naivety on the part of thousands of climate scientists to not have included something as obvious as Milankovitch cycles in their models while offering no models of their own.
Good climate models contain known natural and human factors. They include radiative forcing, changes in how much energy we receive and retain from the Sun. These include the very well known Milankovitch cycles. The models which exclude human factors do not match our observations. The ones which do include human factors match.
Source: Union of Concerned Scientists
As you can see, solar variability is a component of their model and does not explain the recent warming trends of the last couple decades.
The Union Of Concerned Scientists has this to say about the effect of solar radiation on climate change.
We do know with a good degree of certainty that between 1750-2011, or since the beginning of the industrial period until today, the average increase in energy hitting a given area of the atmosphere (radiative forcing, measured in a unit called watts per square meter) due to heat-trapping gases is 56 times greater (~ 2.83 watts per square meter) than the increase in radiative forcing from the small shift in the sun’s energy (~0.05 watts per square meter).
In its Fifth Assessment Report, IPCC scientists evaluated simulations of historical climate variables using a number of numerical models. They first assumed no increase in heat-trapping gases since 1750, so that the temperatures calculated were those that would have been achieved if only solar variability, volcanic eruptions, and other natural climate drivers were included.
The temperature results were similar to observed temperatures only for the first half of the century, but the models did not accurately show the general warming trend that has been recorded during the second half of the twentieth century.
When computer models include human-induced heat-trapping gases, they accurately reproduce the observed warming during the twentieth and twenty-first centuries.
The evidence shows that although fluctuations in the amount of solar energy reaching our atmosphere do influence our climate, the global warming trend of the past six decades cannot be attributed to changes in the sun.
Source: Union of Concerned Scientists
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