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Using the optical reference geometry approach, we have derived in thefollowing, a general expression for the ellipticity of a slowly rotating fluidconfiguration using Newtonian force balance equation in the conformallyprojected absolute 3-space, in the realm of general relativity. Further withthe help of Hartle-Thorne (H-T) metric for a slowly rotating compact object, wehave evaluated the centrifugal force acting on a fluid element and alsoevaluated the ellipticity and found that the centrifugal reversal occurs ataround $R/R_s \approx 1.45$, and the ellipticity maximum at around $R/R_s\approx 2.75$. The result has been compared with that of Chandrasekhar andMiller which was obtained in the full 4-spacetime formalism

Centrifugal force and ellipticity behaviour of a slowly rotating ultra-compact object