Geodesic
Mathematical modeling of motion of the asteroid~99942 Apophis on the basis of Adams methods with a~variable step size
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2008), pp. 144-148

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The choice of Adams methods with divided differences has been validated for solving of the equations of motion of small bodies of the Solar system. The numerical integration with a variable step size of differential equations of motion of the asteroid 99942 Apophis has been carried out with the help of these methods. The moments of closest approaches to major planets and the Moon by this minor planet has been determined. The evolution of its orbit has been investigated on 600 years time interval. 
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     author = {V. V. Abramov},
     title = {Mathematical modeling of motion of the asteroid~99942 {Apophis} on the basis of {Adams} methods with a~variable step size},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {144--148},
     publisher = {mathdoc},
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     year = {2008},
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V. V. Abramov. Mathematical modeling of motion of the asteroid~99942 Apophis on the basis of Adams methods with a~variable step size. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2008), pp. 144-148. http://geodesic.mathdoc.fr/item/VSGTU_2008_1_a33/