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.