We reobtain the first integrals with this method very easily.
Emrullah Yaşar 2013, 'A Short Note on Nonlocal Transformations and First Integrals for Certain NonlinearOscillator Equations', Abstract and Applied Analysishttp://dx.doi.org/10.1155/2013/702382. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In the first order of approximation we reobtain the standard expression for the perihelion precession.
Man Kwong Mak, Chun Sing Leung, Tiberiu Harko 2018, 'Computation of the General Relativistic Perihelion Precession and of Light Deflectionvia the Laplace-Adomian Decomposition Method', Advances in High Energy Physicshttp://dx.doi.org/10.1155/2018/7093592. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)