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As Russell and Vogt pointed out in the 1920s, the properties of a main sequence star depend crucially on its mass. After the main sequence, the star’s mass is also vitally important in determining its physical properties. Will helium burning begin or not? If it begins, will it begin with a flash? Will carbon burning begin or not? The answers to these questions, as we have seen, depend primarily on the star’s mass.
When investigating a political scandal, the standard advice is “follow the money.” When investigating stellar structure, a comparably useful piece of advice is “follow the energy.” Since energy cannot be created or destroyed (if we regard mass as a sort of congealed energy), forensic investigation of a star’s energy content will uncover whatever physical processes are hidden in a star’s opaque interior.
Because stars are large and massive compared to a rocky planet like the Earth, we expect that a balance between pressure gradients and gravity inside a star will require very high internal pressure. However, there can be very different ways in which high pressure can be achieved, as two examples from the Earth make clear. Both the atmosphere and the oceans are in hydrostatic equilibrium; air pressure thus decreases with altitude above sea level, while pressure in the ocean increases with depth.