Gutnik, Sergey A.; Sarychev, Vasily A. Symbolic computations of the equilibrium orientations of a system of two connected bodies moving on a circular orbit around the Earth. (English) Zbl 07433041 Math. Comput. Sci. 15, No. 3, 407-417 (2021). MSC: 70-08 PDFBibTeX XMLCite \textit{S. A. Gutnik} and \textit{V. A. Sarychev}, Math. Comput. Sci. 15, No. 3, 407--417 (2021; Zbl 07433041) 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
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
Li, Zijia; Scharler, Daniel F.; Schröcker, Hans-Peter Factorization results for left polynomials in some associative real algebras: state of the art, applications, and open questions. (English) Zbl 1425.12001 J. Comput. Appl. Math. 349, 508-522 (2019). Reviewer: Eckhard Hitzer (Tokyo) MSC: 12D05 15A66 16S36 30C15 70B15 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Comput. Appl. Math. 349, 508--522 (2019; Zbl 1425.12001) Full Text: DOI arXiv
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
Li, Zijia; Schicho, Josef; Schröcker, Hans-Peter Kempe’s universality theorem for rational space curves. (English) Zbl 1430.70006 Found. Comput. Math. 18, No. 2, 509-536 (2018). MSC: 70B05 14H50 65D17 68U07 PDFBibTeX XMLCite \textit{Z. Li} et al., Found. Comput. Math. 18, No. 2, 509--536 (2018; Zbl 1430.70006) Full Text: DOI arXiv
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
Shevchenko, I. I. Symbolic computation of the Birkhoff normal form in the problem of stability of the triangular libration points. (English) Zbl 1196.37005 Comput. Phys. Commun. 178, No. 9, 665-672 (2008). MSC: 37-04 70-04 68W30 PDFBibTeX XMLCite \textit{I. I. Shevchenko}, Comput. Phys. Commun. 178, No. 9, 665--672 (2008; Zbl 1196.37005) Full Text: DOI arXiv
Pegon, Pierre Alternative characterization of time integration schemes. (English) Zbl 0982.70003 Comput. Methods Appl. Mech. Eng. 190, No. 20-21, 2707-2727 (2001). MSC: 70-08 70J35 65L05 PDFBibTeX XMLCite \textit{P. Pegon}, Comput. Methods Appl. Mech. Eng. 190, No. 20--21, 2707--2727 (2001; Zbl 0982.70003) Full Text: DOI
Fayçal, Nelly On the classification of pyramidal central configurations. (English) Zbl 0844.70009 Proc. Am. Math. Soc. 124, No. 1, 249-258 (1996). MSC: 70F10 PDFBibTeX XMLCite \textit{N. Fayçal}, Proc. Am. Math. Soc. 124, No. 1, 249--258 (1996; Zbl 0844.70009) Full Text: DOI
Villard, D.; Arnaldi, B. Symbolic differentiation library for simulation of multibody rigid systems. (English) Zbl 1037.70506 Math. Comput. Simul. 42, No. 4-6, 659-673 (1996). MSC: 70E99 70-04 70-08 PDFBibTeX XMLCite \textit{D. Villard} and \textit{B. Arnaldi}, Math. Comput. Simul. 42, No. 4--6, 659--673 (1996; Zbl 1037.70506) Full Text: DOI
Ioakimidis, N. I.; Anastasselou, E. G. Application of Gröbner bases to problems of movement of a particle. (English) Zbl 0823.70001 Comput. Math. Appl. 27, No. 3, 51-57 (1994). MSC: 70-08 70F05 13P10 68W30 PDFBibTeX XMLCite \textit{N. I. Ioakimidis} and \textit{E. G. Anastasselou}, Comput. Math. Appl. 27, No. 3, 51--57 (1994; Zbl 0823.70001) Full Text: DOI