D H said:
If the CNO cycle can kick in, it pushes stars to a much higher fusion rate. Class G and F stars are whitish. Higher mass stars (class A, B, and O) are bluish. It's a very sharp change because of the very sharp temperature sensitivity of the CNO cycle.
Actually, that isn't true. There is no sudden change in any of the stellar parameters when CNO fusion takes over, because the details of the fusion process play essentially no role in any of the stellar parameters along the main sequence. Indeed, main-sequence luminosities of the warmer stars, and even the Sun, were derivable to a good approximation by Eddington, without even knowing there was any such thing as nuclear fusion! It is a surprising and fascinating aspect of stars that as long as they transport energy primarily by radiative diffusion, their luminosity depends pretty much only on their mass, and is a smooth (though fairly steep) function of that mass-- independently of what type of fusion is going on, or even whether there exists any process of nuclear fusion.
For stars between 1/3 and 10 solar masses, there is a fourth power relation between mass and luminosity, which in turn means that there is inverse cube relation between mass and longevity on the main sequence.
Yes, that is the smooth relation to which I refer, and it does not depend much at all on the details of nuclear fusion.
Given two stars of the same mass, the older star will burn hotter than will the younger one. The accumulated helium is the culprit. The core temperature rises as helium accumulates. For a young star at the upper end of that range, it's the pp chain that will dominate, resulting in a high mass class F star. For an old star at the lower end of that range, it's the CNO cycle that will dominate, resulting in a low mass class A star.
Not to be argumentative, but that isn't true. The spectral type, A or F, is determined by the surface temperature, not the core temperature. Evolution within the main sequence does increase the luminosity of a star a little bit, but it also puffs the star out a little, so the surface temperature actually drops as the star ages-- though not very much.
This presents a serious problem with regard to friendliness to life for that 1.35 solar mass star. It will start it's life as a class F star. At some point in its life, it will reach a core temperature the CNO cycle becomes dominant. The star will suddenly become much hotter, a class A star, and a planet that was in the goldilocks zone is now toast.
That's what is not true, the star will get more luminous but slightly redder, not bluer, just as our own Sun is doing. Crossing a boundary from pp to CNO would not produce any sudden changes in luminosity, nor have any great significance to the habitability of a planet, though the gradual increase in luminosity that accompanies aging, regardless of whether pp crosses over into CNO, might-- just as it might for our own solar system in the far future.
But it should also be noted that minor flares like our Sun has probably present little challenge to life, as long as the planet has a magnetic field like Earth. The nasty flare stars, way more active than the Sun, tend to be redder stars, like M stars. Keep away from the most active of the M stars, and life should be fine.