I am a bit confused when do stars become red giants? Is it just after they have finished core H burning and the core contracts creating high temperatures which result in core He burning to occur which creates outward pressures pushing the outer lowers apart or something different? Also does core He burning and shell H burning (by burning I mean fusion) occur at the same time and if not which comes first?? Or am i totally wrong with all these points?
Answer
Is it just after they have finished core H burning and the core contracts creating high temperatures which result in core He burning...?
It is after the core finishes H burning, but He burning is not required. Hydrogen shell burning is sufficient to make it a red giant. Helium burning would make it a Horizontal Branch Star. See good explanation here: http://abyss.uoregon.edu/~js/ast122/lectures/lec16.html
Also does core He burning and shell H burning (by burning I mean fusion) occur at the same time and if not which comes first??
Shell H burning starts first, but can continue after He burning starts.
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