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From the Schwarzschild metric we obtain the higher-order terms (up to 20-thorder) for the deflection of light around a massive object using theLindstedt-Poincar\'e method to solve the equation of motion of a photon aroundthe stellar object. Additionally, we obtain diagonal Pad\'e approximants fromthe perturbation expansion, and we show how these are a better fit for thenumerical data. Furthermore, we use these approximants in ray-tracingalgorithms to model the bending of light around the massive object.

Higher-order corrections for the deflection of light around a massive object