Prokopenya, A. N.; Minglibayev, M. Zh.; Kosherbaeva, A. B. Derivation of evolutionary equations in the many-body problem with isotropically varying masses using computer algebra. (English. Russian original) Zbl 1498.70020 Program. Comput. Softw. 48, No. 2, 107-115 (2022); translation from Programmirovanie 48, No. 2, 53-62 (2022). MSC: 70F10 68W30 PDFBibTeX XMLCite \textit{A. N. Prokopenya} et al., Program. Comput. Softw. 48, No. 2, 107--115 (2022; Zbl 1498.70020); translation from Programmirovanie 48, No. 2, 53--62 (2022) Full Text: DOI
Loziienko, D.; Salnikov, V.; Hamdouni, A. Construction of pseudo-geometric integrators. (English. Russian original) Zbl 1498.70005 Program. Comput. Softw. 48, No. 2, 102-106 (2022); translation from Programmirovanie 48, No. 2, 47-52 (2022). MSC: 70-10 70H03 PDFBibTeX XMLCite \textit{D. Loziienko} et al., Program. Comput. Softw. 48, No. 2, 102--106 (2022; Zbl 1498.70005); translation from Programmirovanie 48, No. 2, 47--52 (2022) Full Text: DOI
Gutnik, S. A.; Sarychev, V. A. Symbolic methods for studying the equilibrium orientations of a system of two connected bodies in a circular orbit. (English. Russian original) Zbl 1496.70005 Program. Comput. Softw. 48, No. 2, 73-79 (2022); translation from Programmirovanie 48, No. 2, 16-22 (2022). MSC: 70F05 68W30 PDFBibTeX XMLCite \textit{S. A. Gutnik} and \textit{V. A. Sarychev}, Program. Comput. Softw. 48, No. 2, 73--79 (2022; Zbl 1496.70005); translation from Programmirovanie 48, No. 2, 16--22 (2022) Full Text: DOI
Gutnik, S. A.; Sarychev, V. A. Symbolic-analytic methods for studying equilibrium orientations of a satellite on a circular orbit. (English. Russian original) Zbl 1476.70083 Program. Comput. Softw. 47, No. 2, 119-123 (2021); translation from Programmirovanie 47, No. 2, 28-33 (2021). MSC: 70M20 70G55 13P10 68W30 PDFBibTeX XMLCite \textit{S. A. Gutnik} and \textit{V. A. Sarychev}, Program. Comput. Softw. 47, No. 2, 119--123 (2021; Zbl 1476.70083); translation from Programmirovanie 47, No. 2, 28--33 (2021) Full Text: DOI
Prokopenya, A. N. Searching for equilibrium states of Atwood’s machine with two oscillating bodies by means of computer algebra. (English. Russian original) Zbl 1483.70011 Program. Comput. Softw. 47, No. 1, 43-49 (2021); translation from Programmirovanie 47, No. 1, 56-64 (2021). MSC: 70C20 65L05 PDFBibTeX XMLCite \textit{A. N. Prokopenya}, Program. Comput. Softw. 47, No. 1, 43--49 (2021; Zbl 1483.70011); translation from Programmirovanie 47, No. 1, 56--64 (2021) Full Text: DOI
Salnikov, V. N.; Hamdouni, A. Differential geometry and mechanics: a source for computer algebra problems. (English. Russian original) Zbl 1455.68288 Program. Comput. Softw. 46, No. 2, 126-132 (2020); translation from Programmirovanie 46, No. 2, 60-66 (2020). MSC: 68W30 53Z30 70S05 PDFBibTeX XMLCite \textit{V. N. Salnikov} and \textit{A. Hamdouni}, Program. Comput. Softw. 46, No. 2, 126--132 (2020; Zbl 1455.68288); translation from Programmirovanie 46, No. 2, 60--66 (2020) Full Text: DOI
Prokopenya, A. N. Construction of a periodic solution to the equations of motion of generalized Atwood’s machine using computer algebra. (English. Russian original) Zbl 1459.70009 Program. Comput. Softw. 46, No. 2, 120-125 (2020); translation from Programmirovanie 46, No. 2, 53-59 (2020). MSC: 70B15 68W30 70K42 PDFBibTeX XMLCite \textit{A. N. Prokopenya}, Program. Comput. Softw. 46, No. 2, 120--125 (2020; Zbl 1459.70009); translation from Programmirovanie 46, No. 2, 53--59 (2020) Full Text: DOI
Batkhin, A. B. Bifurcations of periodic solutions of a Hamiltonian system with a discrete symmetry group. (English. Russian original) Zbl 1459.37042 Program. Comput. Softw. 46, No. 2, 84-97 (2020); translation from Programmirovanie 46, No. 2, 14-29 (2020). MSC: 37J20 37J46 37J11 65P30 70H33 68W30 PDFBibTeX XMLCite \textit{A. B. Batkhin}, Program. Comput. Softw. 46, No. 2, 84--97 (2020; Zbl 1459.37042); translation from Programmirovanie 46, No. 2, 14--29 (2020) Full Text: DOI
Bruno, A. D. Normalization of a periodic Hamiltonian system. (English. Russian original) Zbl 1459.37048 Program. Comput. Softw. 46, No. 2, 76-83 (2020); translation from Programmirovanie 46, No. 2, 6-13 (2020). MSC: 37J40 34C20 70H05 70H33 68W30 PDFBibTeX XMLCite \textit{A. D. Bruno}, Program. Comput. Softw. 46, No. 2, 76--83 (2020; Zbl 1459.37048); translation from Programmirovanie 46, No. 2, 6--13 (2020) Full Text: DOI
Prokopenya, A. N.; Minglibayev, M. Zh.; Shomshekova, S. A. Applications of computer algebra in the study of the two-planet problem of three bodies with variable masses. (English. Russian original) Zbl 1459.70029 Program. Comput. Softw. 45, No. 2, 73-80 (2019); translation from Programmirovanie 45, No. 2, 58-65 (2019). MSC: 70F07 68W30 70L05 PDFBibTeX XMLCite \textit{A. N. Prokopenya} et al., Program. Comput. Softw. 45, No. 2, 73--80 (2019; Zbl 1459.70029); translation from Programmirovanie 45, No. 2, 58--65 (2019) Full Text: DOI
Gutnik, S. A.; Sarychev, V. A. Application of computer algebra methods to investigate the dynamics of the system of two connected bodies moving along a circular orbit. (English. Russian original) Zbl 1466.70030 Program. Comput. Softw. 45, No. 2, 51-57 (2019); translation from Programmirovanie 45, No. 2, 32-40 (2019). MSC: 70M20 68W30 PDFBibTeX XMLCite \textit{S. A. Gutnik} and \textit{V. A. Sarychev}, Program. Comput. Softw. 45, No. 2, 51--57 (2019; Zbl 1466.70030); translation from Programmirovanie 45, No. 2, 32--40 (2019) Full Text: DOI
Gutnik, S. A.; Sarychev, V. A. Application of symbolic computation methods for investigation of stationary motions of an axisymmetric satellite. (English. Russian original) Zbl 1466.70029 Program. Comput. Softw. 44, No. 2, 94-99 (2018); translation from Programmirovanie 44, No. 2, 28-34 (2018). MSC: 70M20 68W30 PDFBibTeX XMLCite \textit{S. A. Gutnik} and \textit{V. A. Sarychev}, Program. Comput. Softw. 44, No. 2, 94--99 (2018; Zbl 1466.70029); translation from Programmirovanie 44, No. 2, 28--34 (2018) Full Text: DOI
Prokopenya, A. N.; Minglibayev, M. Zh.; Mayemerova, G. M.; Imanova, Zh. U. Investigation of the restricted problem of three bodies of variable masses using computer algebra. (English. Russian original) Zbl 1476.70027 Program. Comput. Softw. 43, No. 5, 289-293 (2017); translation from Programmirovanie 43, No. 5, 18-23 (2017). MSC: 70F07 70L05 68W30 PDFBibTeX XMLCite \textit{A. N. Prokopenya} et al., Program. Comput. Softw. 43, No. 5, 289--293 (2017; Zbl 1476.70027); translation from Programmirovanie 43, No. 5, 18--23 (2017) Full Text: DOI
Gutnik, S. A.; Sarychev, V. A. Application of computer algebra methods for investigation of stationary motions of a gyrostat satellite. (English. Russian original) Zbl 1455.70013 Program. Comput. Softw. 43, No. 2, 90-97 (2017); translation from Programmirovanie 43, No. 2, 35-44 (2017). MSC: 70M20 68W30 70-08 13P10 PDFBibTeX XMLCite \textit{S. A. Gutnik} and \textit{V. A. Sarychev}, Program. Comput. Softw. 43, No. 2, 90--97 (2017; Zbl 1455.70013); translation from Programmirovanie 43, No. 2, 35--44 (2017) Full Text: DOI
Gutnik, S. A.; Sarychev, V. A. Symbolic-numerical methods of studying equilibrium positions of a gyrostat satellite. (English. Russian original) Zbl 1308.65228 Program. Comput. Softw. 40, No. 3, 143-150 (2014); translation from Programmirovanie 40, No. 3 (2014). MSC: 65Z05 65P30 70F15 PDFBibTeX XMLCite \textit{S. A. Gutnik} and \textit{V. A. Sarychev}, Program. Comput. Softw. 40, No. 3, 143--150 (2014; Zbl 1308.65228); translation from Programmirovanie 40, No. 3 (2014) Full Text: DOI
Budzko, D. A.; Shcherba, S. A. Symbolic and numerical analysis of the restricted five body problem using computer algebra. (English. Russian original) Zbl 1308.65212 Program. Comput. Softw. 40, No. 3, 139-142 (2014); translation from Programmirovanie 40, No. 3 (2014). MSC: 65P30 68W30 37M10 70F15 PDFBibTeX XMLCite \textit{D. A. Budzko} and \textit{S. A. Shcherba}, Program. Comput. Softw. 40, No. 3, 139--142 (2014; Zbl 1308.65212); translation from Programmirovanie 40, No. 3 (2014) Full Text: DOI
Prokopenya, A. N.; Minglibayev, M. Zh.; Mayemerova, G. M. Symbolic calculations in studying the problem of three bodies with variable masses. (English. Russian original) Zbl 1353.70003 Program. Comput. Softw. 40, No. 2, 79-85 (2014); translation from Programmirovanie 40, No. 2 (2014). MSC: 70-04 70F07 70P05 PDFBibTeX XMLCite \textit{A. N. Prokopenya} et al., Program. Comput. Softw. 40, No. 2, 79--85 (2014; Zbl 1353.70003); translation from Programmirovanie 40, No. 2 (2014) Full Text: DOI
Budzko, D. A.; Prokopenya, A. N. Symbolic-numerical methods for searching equilibrium states in a restricted four-body problem. (English. Russian original) Zbl 1325.70028 Program. Comput. Softw. 39, No. 2, 74-80 (2013); translation from Programmirovanie 39, No. 2 (2013). MSC: 70F10 68W30 70-04 PDFBibTeX XMLCite \textit{D. A. Budzko} and \textit{A. N. Prokopenya}, Program. Comput. Softw. 39, No. 2, 74--80 (2013; Zbl 1325.70028); translation from Programmirovanie 39, No. 2 (2013) Full Text: DOI
Prokopenya, A. N. Hamiltonian normalization in the restricted many-body problem by computer algebra methods. (English. Russian original) Zbl 1329.70036 Program. Comput. Softw. 38, No. 3, 156-166 (2012); translation from Programmirovanie 38, No. 3 (2012). MSC: 70F10 70-04 PDFBibTeX XMLCite \textit{A. N. Prokopenya}, Program. Comput. Softw. 38, No. 3, 156--166 (2012; Zbl 1329.70036); translation from Programmirovanie 38, No. 3 (2012) Full Text: DOI
Aranson, A. B. Calculation of power expansion solutions of N. Kowalewski modified ODE system by power geometry algorithms. (English. Russian original) Zbl 1257.65037 Program. Comput. Softw. 37, No. 2, 87-98 (2011); translation from Programmirovanie 37, No. 2 (2011). MSC: 65L05 34A34 70E17 68W30 34-04 PDFBibTeX XMLCite \textit{A. B. Aranson}, Program. Comput. Softw. 37, No. 2, 87--98 (2011; Zbl 1257.65037); translation from Programmirovanie 37, No. 2 (2011) Full Text: DOI
Budzko, D. A.; Prokopenya, A. N. Symbolic-numerical analysis of equilibrium solutions in a restricted four-body problem. (English. Russian original) Zbl 1343.70012 Program. Comput. Softw. 36, No. 2, 68-74 (2010); translation from Programmirovanie 36, No. 2, 13-20 (2010). MSC: 70F10 65L06 68W30 PDFBibTeX XMLCite \textit{D. A. Budzko} and \textit{A. N. Prokopenya}, Program. Comput. Softw. 36, No. 2, 68--74 (2010; Zbl 1343.70012); translation from Programmirovanie 36, No. 2, 13--20 (2010) Full Text: DOI
Palii, Yu. G.; Khvedelidze, A. M. On the homogeneous Gröbner basis for tensors. (English. Russian original) Zbl 1185.68872 Program. Comput. Softw. 34, No. 2, 101-106 (2008); translation from Programmirovanie 34, No. 2, 54-60 (2008). MSC: 13P10 15A72 68W30 70-04 70H05 70S15 PDFBibTeX XMLCite \textit{Yu. G. Palii} and \textit{A. M. Khvedelidze}, Program. Comput. Softw. 34, No. 2, 101--106 (2008; Zbl 1185.68872); translation from Programmirovanie 34, No. 2, 54--60 (2008) Full Text: DOI
Bragazin, A. F.; Leonov, V. V.; Rudenko, V. M.; Shmyglevskiĭ, I. P. Synthesis of algorithms for computing trajectories of low-altitude satellites. (English. Russian original) Zbl 0875.68575 Program. Comput. Softw. 18, No. 5, 240-245 (1992); translation from Programmirovanie 1992, No. 5, 81-87 (1992). MSC: 70-08 70M20 68W30 PDFBibTeX XMLCite \textit{A. F. Bragazin} et al., Program. Comput. Softw. 18, No. 5, 240--245 (1992; Zbl 0875.68575); translation from Programmirovanie 1992, No. 5, 81--87 (1992)