VESTNIK of Samara University. Aerospace and Mechanical EngineeringVESTNIK of Samara University. Aerospace and Mechanical Engineering2542-04532541-7533Samara National Research University234310.18287/2541-7533-2012-0-5-2(36)-355-364UnknownUse of differential equations in the form of Encke for the study of motion small solar system bodiesZausaevD. A.<p>Postgraduate Student of «Applied Mathematics and Informaties» Department</p>zadmitriy@gmail.comSamara State Technical University20122012115-23553641203201512032015Copyright © 2015, VESTNIK of the Samara State Aerospace University2015<p>The numerical integration of differential equations of motion of small bodies in the solar system isconsidered in the form of Encke . For short-period comets and asteroids Apollo and Aten, a comparison of theresults of numerical integration of the equations of motion in standard form and shape of the Encke is conducted.In this article has shown that the equations of Enke is preferable to use for celestial bodies, with closerapprochement with perturbing planets, as well as the use of methods of numerical integration of the low order.</p>Asteroidsdifferential equationsequations of motionnumerical integrationEncke’s methodАстероидыдифференциальные уравненияуравнения движениячисленное интегрированиеметод Энке