views: 1444
Readers community rating: votes 0
1. Euler L. De motu rectilineo trium corporum se mutuo attrahentium // Nov. Comm. Petrop. 1765. V. 11. P. 144–151.
2. Levi-Civita T. Traettorie singolari ed urbi nel problema ristretto dei tre corpi // Ann. di mat. pura ed appl. 1904. V. 9. P. 1–32.
3. Levi-Civita T. Sur la regularization du probleme des trois corps // Acta Math. 1920. V. 42. P. 99–144.
4. Levi-Civita T. Sur la resolution qualitative du probleme restreint des trois corps // Opere mathematiche. 1956. No. 2. P. 411–417.
5. Kustaanheimo P. Spinor regularization of the Kepler motion // Ann. Univ. Turku. Ser. A1. 1964. V. 73. P. 3–7.
6. Kustaanheimo P., Stiefel E. Perturbation theory of Kepler motion based on spinor regu-larization // J. Reine Angew. Math. 1965. V. 218. P. 204–219.
7. Stiefel E.L., Scheifele G. Linear and Regular Celestial Mechanics. B.: Springer, 1971 = Shtifel' E., Shejfele G. Linejnaya i regulyarnaya nebesnaya mekhanika. M.: Nauka, 1975. 304 s.
8. Hopf H. Uber die Abbildung der dreidimensionalen Sphare auf die Kugelflache // Math. Ann. 1931. V. 104. P. 637–665. (Reprinted in Selecta Heinz Hopf. B.: Springer, 1964. P. 38–63.)
9. Brumberg V.A. Analiticheskie algoritmy nebesnoj mekhaniki. M.: Nauka, 1980. 208 s.
10. Bordovitsyna T.V. Sovremennye chislennye metody v zadachakh nebesnoj mekhaniki. M.: Nauka, 1984. 136 s.
11. Bordovitsyna T.V., Avdyushev V.A. Teoriya dvizheniya iskusstvennykh sputnikov Zemli. Analiticheskie i chislennye metody. Tomsk: Izd-vo Tom. un-ta, 2007. 178 s.
12. Chelnokov Yu.N. Primenenie kvaternionov v mekhanike kosmicheskogo poleta // Gi-roskopiya i navigatsiya. 1999. № 4 (27). C. 47–66.
13. Chelnokov Yu.N. Analiz optimal'nogo upravleniya dvizheniem tochki v gravitatsionnom pole s ispol'zovaniem kvaternionov // Izv. RAN. Teoriya i sistemy upravleniya. 2007. № 5. S. 18–44 = Chelnokov Yu.N. Analysis of optimal motion control for a material points in a central field with application of quaternions // Journal of Computer and Systems Sciences International. 2007. V. 46. No. 5. P. 688–713.
14. Chelnokov Yu.N. Kvaternionnye modeli i metody dinamiki, navigatsii i upravle-niya dvizheniem. M.: Fizmatlit, 2011. 560 s.
15. Chelnokov Yu.N. Kvaternionnaya regulyarizatsiya v nebesnoj mekhanike i astrodinamike i upravlenie traektornym dvizheniem. I // Kosmich. issled. 2013. T. 51. № 5. S. 389–401 = Chelnokov Yu.N. Quaternion regularization in celestial mechanics and astrodynamics and trajectory motion control. I // Cosmic Res. 2013. V. 51. No. 5. P. 350–361.
16. Chelnokov Yu.N. K regulyarizatsii uravnenij prostranstvennoj zadachi dvukh tel // Izv. AN SSSR. MTT. 1981. № 6. C. 12–21 = Chelnokov Yu.N. On regularization of the equations of the three-dimensional two body problem // Mechanics of Solids. 1981. V. 16. No. 6. P. 1–10.
17. Chelnokov Yu.N. O regulyarnykh uravneniyakh prostranstvennoj zadachi dvukh tel // Izv. AN SSSR. MTT. 1984. № 1. S. 151–158 = Chelnokov Yu.N. Regular equations of the three-dimensional two body problem // Mechanics of Solids. 1984. Vol. 19. No. 1. P. 1–7.
18. Chelnokov Yu.N. Kvaternionnye metody v zadachakh vozmuschennogo tsentral'nogo dvizhe-niya material'noj tochki. Ch. 1: Obschaya teoriya. Prilozheniya k zadache regulyarizatsii i k zadache o dvizhenii ISZ. Dep. v VINITI 13.12.85. № 8628-V. 36 c.
19. Chelnokov Yu.N. Kvaternionnye metody v zadachakh vozmuschennogo tsentral'nogo dvi-zheniya material'noj tochki. Ch. 2: Prostranstvennaya zadacha nevozmuschennogo tsen-tral'nogo dvizheniya. Zadacha s nachal'nymi usloviyami. Dep. v VINITI 13.22.85. № 8629-V. 18 c.
20. Vivarelli M.D. The KS transformation in hypercomplex form // Celest. Mech. Dyn. As-tron. 1983. V. 29. P. 45–50.
21. Vrbik J. Celestial mechanics via quaternions // Can. J. Phys. 1994. V. 72. P. 141–146.
22. Vrbik J. Perturbed Kepler problem in quaternionic form // J. Phys. 1995. V. 28. P. 193–198.
23. Waldvogel J. Quaternions and the perturbed Kepler problem // Celest. Mech. Dyn. As-tron. 2006. V. 95. P. 201–212.
24. Waldvogel J. Quaternions for regularizing Celestial Mechanics: the right way // Celest. Mech. Dyn. Astron. 2008. V. 102. No. 1. P. 149–162.
25. Chelnokov Yu.N. Kvaternionnaya regulyarizatsiya v nebesnoj mekhanike i astrodinamike i upravlenie traektornym dvizheniem. II // Kosmich. issled. 2014. T. 52. № 4. C. 322–336 = Yu.N. Chelnokov. Quaternion regularization and trajectory motion control in celestial mechanics and astrodynamics: II // Cosmic Res. 2014. V. 52. No. 4. P. 304–317.
26. Chelnokov Yu.N. Kvaternionnaya regulyarizatsiya uravnenij vozmuschennoj prostran-stvennoj ogranichennoj zadachi trekh tel. I // Izv. RAN. MTT. 2017. № 6. S. 24–54.
27. Chelnokov Yu.N. Kvaternionnye i bikvaternionnye modeli i metody mekhaniki tver-dogo tela i ikh prilozheniya. Geometriya i kinematika dvizheniya. M.: Fizmatlit, 2006. 512 s.
28. Branets V.N., Shmyglevskij I.P. Primenenie kvaternionov v zadachakh orientatsii tverdogo tela. M.: Nauka, 1973. 320 s.
29. Zhuravlev V.F. Osnovy teoreticheskoj mekhaniki. M.: Fizmatlit, 2008. 304 s.