Geodesic
Research of resonant motion of Apollo asteroids with inner planets
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2007), pp. 85-89.

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We study the resonant motion of Apollo asteroids with inner planets (Venus, Earth, Mars). It is shown that 1760 among 2026 Apollo asteroids move in resonance with one, two or three inner planets. Using the numerical integration in the time interval from 1800 to 2200 we research the stability of resonant motion of Apollo asteroids relative to inner planets. 
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F. Kh. Altynbaev. Research of resonant motion of  Apollo asteroids with inner planets. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2007), pp. 85-89. http://geodesic.mathdoc.fr/item/VSGTU_2007_1_a12/

[1] Tancredi G., “Chaotic Dynamics of planet-Encountering Bodies”, Celest. Mech. and Dyn. Astron., 70 (1998), 181–200 | DOI | Zbl

[2] Wiodarczyk I., “The Prediction of the Motion of the Atens, Apollos and Amors Over Long Intervals of Time”, Dynamics of Naturial and Artificial Celestial Bodies. Proceeding of US/European Celest. Mech. Workshop (Poznan, Poland. 3–7 July 2000), Kluwer Academic Publishers, Dordrecht, 2001, 341–342

[3] Vinogradov I. M., Osnovy teorii chisel, Nauka, M., 1965 | MR

[4] Gerasimov I. A., Evolyutsiya vneshnei chasti koltsa asteroidov, Avtoref. dis. $\dots$ dokt. fiz. mat. nauk, M., 1992

[5] Zausaev A. F., Evolyutsiya orbit malykh tel Solnechnoi sistemy sblizhayuschikhsya s Zemlei, Avtoref. dis. $\dots$ dokt. fiz. mat. nauk, M., 1994

[6] Zausaev A. F., Zausaev A. A., Katalog orbitalnoi evolyutsii korotkoperiodicheskikh komet s 1900 po 2100 gg., Mashinostroenie-1, M., 2005

[7] Zausaev A. F., Zausaev A. A., Olkhin A. G., “Primenenie metoda Everkharta 31 poryadka dlya resheniya uravnenii dvizheniya razlichnykh nebesnykh ob'ektov”, Obozrenie prikladnoi i promyshlennoi matematiki, 11:3 (2004), 636

[8] Everhart E., “Implicit single methods for integrating orbits”, Celestial Mechanics, 1974, no. 10, 35–55 | DOI | MR | Zbl