While it is very stable, by comparison to some variable stars, the Sun does have some variability of its own. The sunspot cycle runs 11 years from maximum to maximum, and their is a slight increase in luminosity at the peak of the cycle. The sunspot cycle has been shown to have an effect on global temperatures.
There is also a study here (http://www.space.com/scienceastronom...ut_030320.html) which indicates that the Sun's radiation has increased by .05% over the last decade. Though they've only been able to monitor it since the advent of satellite technology, there seems to be some evidence that the increase has been occurring over the last century and may be a significant factor in the current global warming scenarios.







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