Derivation of Newton's Gravitational Constant G from Stellar Observables

This document includes two independent observational derivations: 1. A simple formula for calculating Newton’s gravitational constant (G) from a star’s surface acceleration (a), radius (R), and mass (M): G ≈ a·R² / M 2. The definition of the LMa ratio, based on a star’s luminosity (L), mass (M), and acceleration (a): LMa = L / (M·a) This ratio serves as a unique physical fingerprint of a star and may have further applications. Both relations are derived using directly observable stellar quantities.