Examples of Multiple Solutions for Equilibrium Stars with Helium Cores

Summary. The different types of equilibrium configurations are discussed for stars with He-cores and hydrogen rich envelopes. As an example, a star of given mass and chemical composition is treated for which up to six solutions are shown to exist. - The Henyey determinant H vanishes, i.e. infinitely neighbouring solutions exist, when He-burning equilibrium models of 9 M0 become secularly unstable. Real stars avoid this by appreciable g-values which keep H always finite. Key words: stellar structure - multiple solutions