Exoplanet bulk-composition ternary diagram Created 2026-09-24 Updated 2026-11-05
An exoplanet bulk-composition ternary diagram represents three component mass fractions by one point inside a triangle. If the components have fractions , then and . Each vertex is a pure component, an edge excludes the opposite component, and the centre corresponds to equal thirds. The fractions are barycentric coordinates relative to the vertices.
For an illustrative iron-rock-water model, measured mass and radius restrict the allowed part of the triangle through an exoplanet interior calculation. They need not select a unique point, making exoplanet interior-composition degeneracy visible. The diagram is conditional on the chosen three components: an unmodelled hydrogen-helium envelope cannot automatically be interpreted as more of one of those solid components.
Past exam of the mathematics course of the University of Cambridge 2026 iii Paper 315 4 d Solution Created 2026-09-24 Updated 2026-09-25