[01] Mirzaei Mahmoud Abadi Vahid, Faculty of Physics, Shahid Bahonar University, Kerman, Iran. [02] Askari Mohammad Bagher, Department of Physics, Payame Noor University, Tehran, Iran. [03] Mirhabibi Mohsen, Department of Physics, Payame Noor University, Tehran, Iran.

After introducing Lagrange points, it is tried to offering three body systems for example sun, earth, and satellite system, two force components equations in orbital plane in center of mass coordinate. Then with formation of a non-linear equations system, the roots of this system by Taylor method are solved. These roots are the roots of force component and in other word are the Lagrange points. Finally, calculated Lagrange points by numerical Taylor method for discussed example are compared with other references.

Lagrange Points, Non-linear System, Taylor Method, Earth, Sun, Moon

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