Skip to main content
Log in

Analytical and celestial mechanics in the Ukraine

  • Published:
Soviet Applied Mechanics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. I. M. Babakov, “Determining the error of approximate calculation of the fundamental frequency of small oscillations”, Vestn. inzh. i tekhnikov, no. 9, 1939.

  2. I. M. Babakov, “The range of the fundamental frequency of small oscillations”, Nauchn. zap. Khar'kovsk: mekh.-mashinostr. in-ta, vol. 5, 1940.

  3. I. M. Babakov, “Determining the maximum frequency of small oscillations,” Nauchn. zap. Khar'kovsk. mekh.-mashinostr. in-ta, vol. 5, 1940.

  4. I. M. Babakov, Theory of Oscillations [in Russian], Gostekhizdat, Moscow, 1953.

    Google Scholar 

  5. L. N. Borisenko, “Some properties of motion of a point acted on by a central force”, Trudy Khar'kovsk. aviats. in-ta, no. 22, 1963.

  6. L. N. Borisenko, “The envelope of a family of trajectories of points acted on by a central force”, Trudy Khar'kovsk. aviats. in-ta, no. 23, 1964.

  7. P. V. Voronets, “Relative motion of a physical pendulum”, Izv. Kievsk. un-ta, vol. 57, nos. 11–12, 1917.

  8. P. V. Voronets, “The integration of the Lagrange equations,” Zap. matem. kabineta Krymsk. un-ta, vol. 3, 1921.

  9. P. V. Voronets, “An example of a restrained solid body”, Zap. matem. kabineta Krymsk. un-ta, vol. 3, 1921.

  10. Yu. L. Gazarkhi, Integrals of Motion of a Free Material System Which are Algebraic With Respect to the Velocities [in Russian] (Author's abstracts of candidate's thesis: Kiev University, 1950).

  11. F. R. Gantmakher and M. G. Krein, Oscillatory Matrices and Kernels and Small Oscillations of Mechanical Systems [in Russian], GTTI, Moscow-Leningrad, 1941.

    Google Scholar 

  12. Ya. L. Geroninus, Essays on the Work of the Giants of Russian Mechanics [in Russian], GITL, Moscow, 1952.

    Google Scholar 

  13. Ya. L. Geronimus, “Some properties of motion under a central force,” Trudy Khar'kovsk. aviats. in-ta, no. 15, 1954.

  14. Ya. L. Geronimus, “Some applications of Riemannian geometry to the study of dynamic systems”, Trudy Khar'kovsk. aviats. in-ta, no. 16, 1955.

  15. Ya. L. Geronimus, “The virtual-work principle”, Buletinul Institutului politehnic din Jasi, serie noua, vol. 9 (13) nos. 3–4, 1963.

  16. Ya. L. Geronimus, “Some forms of the equations of motion of a material system under nonholonomic nonlinear constraints”, Aircraft Design and Air Fleet Engineering (Republican Interdepartmental Scientific and Engineering Collection), No. 3 [in Russian], 1965.

  17. D. A. Grave, “New principles of celestial mechanics”, Zap. fiz.-matem. vidd. AN URSR vol. 9 no. 4, 1928.

  18. D. A. Grave, “Small oscillations and some algebraic propositions”, Izv. AN SSSR series 7 no. 6, 1929.

  19. D. A. Grave, Theoretical Mechanics on the Basis of Engineering [in Russian], GTTI, Moscow-Leningrad, 1932.

    Google Scholar 

  20. D. O. Hrave, “Axoids of motion of a solid body”, Zhurnal In-tu matematyky VUAN, vol. 3, no. 1, 1934.

  21. D. A. Grave and Yu. D. Sokolov, “The motion of Mercury's perihelion”, Zap. fiz.-mat. vidd. AN URSR, vol. 5, no. 1, 1926.

  22. I. A. Grigor'eva, “The existence of symmetric solutions of the generalized three-body problem”, Izv. Kievsk. politekhn. in-ta, vol. 19, 1956.

  23. V. E. D'yachenko, “The motion of a material point in a central force field”, Zap. fiz.-matem. vidd. AN URSR, vol. 3, no. 2, 1928.

  24. E. I. Zabelina, “The motion of a solid body about a stationary point under a nonholonomic constraint”. Trudy Donetsk. industr. in-ta, seriya mekhan., vol. 20, no. 1, 1957.

  25. E. I. Zabelina, “The rapid rotation of a solid body about a stationary point under a nonholonomic constraint,” Vestnik MGU, Matem., mekh., astr., fiz.-khim., no. 6, 1957.

  26. V. A. Zmorovich, “The restricted relativistic two-body problem,” Ukr. matem. zhurnal, vol. 6, no. 1, 1954.

  27. A. Yu. Ishlinskii, The Mechanics of Special Gyroscopic Systems [in Russian], Izd-vo AN UkrSSR, Kiev, 1952.

    Google Scholar 

  28. O. Yu. Ishlins'kyy, “The sliding motion of dynamic systems,” Prykladna mekhanika, vol. 1, no. 1, 1955.

  29. A. Yu. Ishlinskii, “Poshekhonov's pendulum,” Astronomicheskii zhurnal, vol. 32, no. 5, 1955.

  30. A. Yu. Ishlinskii, “The relative equilibrium of a physical pendulum with a moving bearing,” Prikl. matem. i Mekh., vol. 20, no. 3, 1956.

  31. O. Yu. Ishlins'kyy, “An approximate method of investigating oscillatory systems,” Prykladna mekhanika, vol. 2, no. 2, 1956.

  32. A. Yu. Ishlinskii, “The theory of the gyro horizon compass,” Prikl. matem. i mekh., vol. 20, no. 4, 1956.

  33. O. Yu. Ishlins'kyy, “The mutual influence of Russian and Ukrainian scientists in the fields of mathematics and mechanics,” collection: Essays on the History of Engineering, No. 3 [in Ukrainia], Vyd-vo AN URSR, Kiev, 1956.

    Google Scholar 

  34. O. Yu. Ishlins'kyy, “A study of gyro horizon errors in pitching with relay-type correction,” collection: Automation, No. 3 [in Ukrainian], Vyd-vo AN URSR, Kiev, 1956.

    Google Scholar 

  35. O. Yu. Ishlins'kyy, “Precessions of a single-weight gyroscopic stabilizer,” collection: Automation, No. 4 [in Ukrainian], Wyd-vo AN URSR, Kiev, 1956.

    Google Scholar 

  36. O. Yu. Ishlins'kyy, “Reference data on the deformation of elements of a universal joint,” Prykladna mekhanika, vol. 3, no. 1, 1957.

  37. O. Yu. Ishlins'kyy, “Damping in motion with large accelerations,” Prykladna mekhanika, vol. 2, no. 2, 1957.

  38. O. Yu. Ishlins'kyy, “Distortion of a shell frame anchored at four points,” Prykladna mekhanika, vol. 3, no. 3, 1957.

  39. A. Yu. Ishlinskii, “The theory of a gyropendulum, Prikl. matem. i mekh., vol. 21, no. 1, 1957.

  40. A. Yu. Ishlinskii, “Theory of a bigyroscopic vertical,” Prikl. matem. i mekh., vol. 21, no. 2, 1957.

  41. A. Yu. Ishlinskii, “Example of a bifurcation which does not produce unstable forms of steady motion,” DAN SSSR, vol. 117, no. 1, 1957.

  42. A. Yu. Ishlinskii, “The equations of the problem of determining the position of a moving object by means of gyroscopes and accelerometers,” Prikl. matem. i mekh., vol. 21, no. 6, 1957.

  43. A. Yu. Ishlinskii, The Mechanics of Gyroscopic Systems [in Russian], Izd-vo AN SSSR, Moscow, 1963.

    Google Scholar 

  44. A. Yu. Ishlinskii, S. V. Malashenko, and M. E. Temchenko, “The branching of stable positions of dynamic equilibrium of a certain mechanical system,” Izv. AN SSSR, OTN, no. 8, 1958.

  45. O. Yu. Ishlins'kyy and Y. B. Pohrebys'kyy, “A. M. Lyapunov's contribution to the dynamics of solid bodies,” collection: Papers on the History of Mathematics, No. 1 [in Ukrainian], Vyd-vo AN URSR, Kiev, 1959.

    Google Scholar 

  46. M. O. Kil'chevs'kyy, A Course of Theoretical Mechanics [in Ukrainian], Vyd-vo Radyans'ka shkola, Kiev, vol. 1, 1950; vol. 2, 1952.

  47. N. A. Kil'chevskii, The Elements of Tensor Calculus and Its Applications to Mechanics [in Russian], GITTL, Moscow, 1954.

    Google Scholar 

  48. N. A. Kil'chevskii, “The motion of a material point of varying mass,” Izv. Kievsk. politekhn. in-ta, vol. 16, 1954.

  49. M. O. Kil'chevs'kyy, “The geometry of the dynamics of nonholonomic systems and its applications,” Prykladna mekhanika, vol. 9, no. 3, 1963.

  50. M. O. Kil'chevs'kyy, A. D. Kovalenko, and V. Y. Putyata, “The scientific and scientific-methodological activities of the collective of the Mechanics Department of Kiev State University,” Visti KDU, 1957.

  51. M. O. Kil'chevs'kyy and Y. B. Pohrebys'kyy, Sofiya Vasil'evna Kovalevskaya [in Ukrainian], Izd-vo Ob-va po raspr. polit. i nauchn. znanii, Kiev, 1951.

    Google Scholar 

  52. G. N. Knyazev, “The effect of nonholonomic systems on mechanical systems,” Prikladnaya mekhanika [Soviet Applied Mechanics], vol. 2, no. 1, 1966.

  53. V. N. Koshlyakov, “On the theory of gyrocompasses,” Prikl. matem. i mekh., vol. 23, no. 5, 1959.

  54. V. N. Koshlyakov, “The reducibility of the equations of motion of a gyro horizon compass,” Prikl. matem. i mekh., vol. 25, no. 5, 1961.

  55. V. N. Koshlyakov, “The stability of a gyro horizon compass in the presence of dissipative forces,” Prikl. matem. i mekh., vol. 26, no. 3, 1962.

  56. M. G. Krein, “The harmonic oscillation modes of mechanical systems of a certain special type,” Matem. sbornik, vol. 41, no. 2, 1934.

  57. M. G. Krein, “Oscillatory differential operators,” DAN SSSR, vol. 4, no. 13, 1935.

  58. M. G. Krein, “Certain applications of Kellogg kernels to oscillation problems,” Zap. Khar'kovsk. matem. ob-va, series 4, vol. 2, 1935.

  59. M. G. Krein, “Some problems connected with Lyapunov's ideas in stability theory,” Uspekhi matem. nauk, vol. 3, no. 3 (25), 1948.

  60. M. G. Krein, “A generalization of certain studies of A. M. Lyapunov on linear differential equations with periodic coefficients,” DAN SSSR, vol. 73, no. 3, 1950.

  61. M. G. Krein, “Some new problems of the theory of oscillations of Sturm systems,” Prikl. matem. i mekh., vol. 16, no. 5, 1952.

  62. M. G. Krein, “The principles of the theory of λ-zone stability of a canonical system of linear differential equations with periodic coefficients,” collection: Papers in Memory of A. A. Andronov [in Russian], Izd-vo AN SSSR, Moscow, 1955.

    Google Scholar 

  63. M. G. Krein and K. R. Kovalenko, “Certain studies of A. M. Lyapunov on differential equations with periodic coefficients,” DAN SSSR, vol. 75, no. 4, 1950.

  64. A. I. Kukhtenko, “Automatic control of cutting machines with smooth feed,” collection: Problems of Automation in the Coal Mining Industry [in Russian], Ugletekhizdat, Moscow, 1953.

    Google Scholar 

  65. O. I. Kukhtenko, “A certain type of dynamic system with nonholonomic constraints,” DAN URSR, no. 2, 1954.

  66. O. I. Kukhtenko, “The equations of motion of an automatically controlled cutting machine with smooth feed,” DAN URSR, no. 3, 1954.

  67. O. I. Kukhtenko, “The stability of motion of an automatically controlled cutting machine with smooth feed,” DAN URSR, no. 4, 1954.

  68. A. I. Kukhtenko, Some Basic Problems of the Kinematics and Dynamics of Automatically Controlled Machines with Smooth Feed (Author's abstract of doctoral thesis: Institute of Mining AS UkrSSR, Kiev, 1954).

    Google Scholar 

  69. A. I. Kukhtenko, “An analysis of the dynamics of nonholonomic control systems with reference to an automatic control system for cutting machines and combines,” Proceedings of the Second All-Union Colloquium on the Theory of Automatic Control, vol. 2 [in Russian], Izd-vo AN SSSR, Moscow, 1955.

    Google Scholar 

  70. A. I. Kukhtenko, “A class of mechanisms with nonholonomic constraints,” Trudy In-ta mashinovedeniya AN SSSR (Seminar po teorii mashin i mekhanizmov), vol. 15, no. 58, 1955.

  71. O. I. Kukhtenko, “The theory of small oscillations and stability of motion of systems withnonholonomic constraints,” Prykladna mekhanika, vol. 1, no. 2, 1955.

  72. A. I. Kukhtenko, “The motion of devices imitating living organisms,” collection: [Proceedings of the Congress of the] International Automatic Control Federation, Moscow, 1960.

    Google Scholar 

  73. A. I. Kukhtenko, “Restricted automatically controlled motion of an aircraft,” collection: Papers from the Kiev Institute of the Civil Air Fleet on Problems of Aircraft Automation and Computer Engineering, No. 1 [in Russian], 1961.

  74. A. I. Kukhtenko, “The stability of restricted automatically controlled motion of an aircraft,” collection: Papers from the Kiev Institute of the Civil Air Fleet on Problems of Aircraft Automation and Computer Engineering, No. 2 [in Russian], 1962.

  75. P. P. Lavrinenko, “Special trajectories in the motion of a material point attracted or repelled by a fixed center, in a continuously perturbing field,” Izv. Kievsk. politekhn. in-ta, vol. 9, 1949.

  76. P. P. Lavrinenko, “Determining orbital elements in a certain case of central perturbed motion,” Izv. Kievsk. politekhn. in-ta, vol. 12, 1953.

  77. L. H. Lobas, “Various forms of the equations of motion of nonholonomic systems in holonomic coordinates,” DAN URSR, no. 11, 1962.

  78. L. H. Lobas, “The reactions of nonholonomic constraints and transformation of the fundamental equation of mechanics into Lagrangian coordinates,” Prykladna mekhanika, vol. 8, no. 1, 1962.

  79. L. H. Lobas, “The equations of motion of a torus and of the small oscillations of a motorcycle about the position of steady motion in a plane,” Prykladna mekhanika, vol. 8, no. 2, 1962.

  80. L. H. Lobas, “Reduction to quadratures of the equations of motion of a torus in a plane,” Prykladna mekhanika, vol. 9, no. 4, 1963.

  81. L. H. Lobas, “The stability of motion of an autopilot-guided aircraft along the runway,” Prykladna mekhanika, vol. 9, no. 6, 1963.

  82. A. N. Milyakh, Theoretical Principles of Electrodynamic Systems with Three Degrees of Freedom of Motion [in Russian], Izd-vo AN UkrSSR, Kiev, 1956.

    Google Scholar 

  83. D. D. Mordukhai-Boltovskoi, “Central forces under which a point describes a conic section,” Zap. fiz.-matem. vidd. AN URSR, vol. 3, no. 3, 1928.

  84. D. D. Mordukhay-Boltovskoy, “Some problems of celestial mechanics in non-Euclidean space,” Zhurnal matem. tsyklu AN URSR, no. 1, 1932.

  85. D. D. Mordukhay-Boltovskoy, “Cases of central motion solvable in elementary transcendental and in elliptic integrals,” DAN URSR, no. 3, 1949.

  86. A. L. Naumov, Theoretical Mechanics, Part 1 [in Russian], Izd-vo Kivesk. un-ta, Kiev, 1957; Part 2, 1958.

    Google Scholar 

  87. A. L. Naumov, “The motion of linear quasirestricted systems with one degree of freedom,” Visnyk KDU, ser. matem., mekh., no. 7, 1965.

  88. I. V. Nikolenko, “The effect of nonholonomic constraints on the character of equilibrium of a system,” Prikladnaya mekhanika, vol. 1, no. 10, 1965.

  89. I. V. Nikolenko, “The Voronets and Chaplygin equations of motion of nonholonomic systems,” Visnyk KDU, ser. matem., mekh., no. 7, 1965.

  90. M. V. Ostrogradskii, Complete Works, Vol. 2 (edited and annotated by Yu. D. Sokolov, I. B. Pogrebysskii, and S. M. Targ) [in Russian], Izd-vo AN UkrSSR, Kiev, 1961.

    Google Scholar 

  91. Y. B. Pohrebys'kyy, “An error in the ‘Analytical Mechanics’ of Lagrange,” Prykladna mekhanika, vol. 5, no. 2, 1959.

  92. Y. B. Pohrebys'kyy, “Euler as a mechanicist,” collection: Papers on the History of Mathematics, No. 1 [in Ukrainian], Vyd-vo AN URSR, Kiev, 1959.

    Google Scholar 

  93. I. B. Pogrebysskii, “The mechanics of a system with ideal nonrestricting constraints,” Trudy In-ta istorii estestvoznaniya i tekhniki AN SSSR, vol. 34, 1960.

  94. I. B. Pogrebysskii, From Lagrange to Einstein [in Russian], Izd-vo Nauka, Moscow, 1966.

    Google Scholar 

  95. T. V. Putyata, “The role of I. I. Rakhmaninov in the development of mechanics studies at Kiev University,” collection: Abstracts of Papers and Communications Presented at the Inter-VUZ Conference on the History of the Physicomathematical Sciences [in Russian], Izd-vo MGU, Moscow, 1960.

    Google Scholar 

  96. T. V. Putyata, “Variational principles of mechanics in the studies of Ukrainian scientists,” collection: History and Methodology of the Natural Sciences, No. 4 [in Russian], Izd-vo MGU, Moscow, 1966.

    Google Scholar 

  97. T. V. Putyata and B. N. Fradlin, Mikhail Vasil'evich Ostrogradskii [in Ukrainian], Derzhetekhvydav URSR, Kiev, 1951.

    Google Scholar 

  98. T. V. Putyata and B. N. Fradlin, The Work of Outstanding Scientists in the Ukraine [in Ukrainian], Derzhtekhvydav URSR, Kiev, 1952.

    Google Scholar 

  99. T. V. Putyata and B. N. Fradlin, “The creative collaboration of Ukrainian and Russian scientists in the field of mechanics,” Izv. Kievsk politekhn. in-ta, vol. 15, 1954.

  100. T. V. Putyata and B. N. Fradlin, “Yurii Dmitrievich Sokolov,” Ukr. matem. zhurnal, vol. 8, no. 2, 1956.

  101. T. V. Putyata and B. N. Fradlin, “Vasilii Petrovich Ermakiov,” Izv. Kievsk. politekhn. in-ta, vol. 19, 1956.

  102. T. V. Putyata and B. N. Fradlin, “A survey of the scientific work of H. K. Suslov,” collection: Papers on the History of Mathematics, No. 2 [in Ukrainian], Vyd-vo AN URSR, Kiev, 1961.

    Google Scholar 

  103. T. V. Putyata and B. N. Fradlin, “The scientific work of O. M. Krylov,” collection: From the History of the Natural Sciences in the USSR [in Ukrainian], Vyd-vo AN URSR, Kiev, 1964.

    Google Scholar 

  104. T. V. Putyata and B. N. Fradlin, “The work of D. O. Hrave in the field of mechanics,” collection: Essays on the History of Engineering and the Natural Sciences, No. 6 [in Ukrainian], Vyd-vo Naukova dumka, Kiev, 1965.

    Google Scholar 

  105. G. N. Savin and V. V. Georgievskaya, The Development of Mechanics in the Ukraine During the Years of Soviet Power [in Russian], Izd-vo AN UkrSSR, Kiev, 1961.

    Google Scholar 

  106. G. N. Savin, N. A. Kil'chevskii, and T. V. Putyata, Theoretical Mechanics [in Russian], Gostekhizdat UkrSSR, Kiev, 1963.

    Google Scholar 

  107. G. N. Savin, T. V. Putyata, and B. N. Fradlin, “The scientific legacy of P. V. Voronets (1871–1923),” Prykladna mekhanika, vol. 9, no. 6, 1963.

  108. G. N. Savin, T. V. Putyata, and B. N. Fradlin, Essays on the Development of Some Fundamental Problems of Mechanics [in Russian], Izd-vo Naukova dumka, Kiev, 1964.

    Google Scholar 

  109. G. M. Savin, Yu. D. Sokolov, T. V. Putyata, and B. N. Fradlin, “Aleksandr Yul'evich Ishlinskii,” Prykladna mekhanika, vol. 9, no. 4, 1963.

  110. G. N. Savin, Yu. D. Sokolov, T. V. Putyata, and B. N. Fradlin, Oleksandr Yuliyovich Ishlins'kyy (on his centennial),” Prikladnaya mekhanika [Soviet Applied Mechanics], vol. 2, no. 3, 1966.

  111. K. M. Savchenko, “The variable-mass two-body problem,” Publication of the Khar'kov Astronomical Observatory, 1934.

  112. K. M. Savchenko, “A method of qualitative solution of the variable-mass two-body problem,” Byull. Khar'kovsk. astronom. observ., no. 4, 1935.

  113. K. M. Savchenko, “Some basic integral equations of motion of a system of points of variable mass,” Publications of the Khar'khov Astronomical Observatory, no. 5, 1935.

  114. K. M. Savchenko, “A solution of the variablemass three-body problem,” Publications of the Khar'khov Astronomical Observatory, 1936.

  115. K. M. Savchenko, “A solvable case of the twobody problem in which the ratio of masses varies with time,” Zb. fiz.-matem. f-tu Odes'k. un-tu, vol. 5, 1953.

  116. K. M. Savchenko, “The restricted variablemass three-body problem,” Zb. fiz.-matem. f-tu Odes'k. un-tu, vol. 5, 1953.

  117. A. L. Sklyanskii, “On the two-body collision trajectories for the problem of three bodies interacting with forces proportional to the logarithms of the distances between them,” Ukr. matem. zhurnal, vol. 6, no. 3, 1954.

  118. A. L. Sklyanskii, “The theory of two-body collision for the generalized three-body problem,” Ukr. matem. zhurnal, vol. 7, no. 2, 1955.

  119. A. L. Sklyanskii, “On the classification of collisions for the generalized three-body problem,” Ukr. matem. zhurnal, vol. 9, no. 1, 1957.

  120. A. L. Sklyanskii, “Special two-body collision trajectories for the generalized three-body problem,” Ukr. matem. zhurnal, vol. 9, no. 2, 1957.

  121. Yu. D. Sokolov, Special Trajectories of a System of Free Material Points [in Russian], Izd-vo AN UkrSSR, Kiev, 1951. A complete bibliography of Yu. D. Sokolov's works on celestial mechanics (60 titles) will be found in monograph [108].

    Google Scholar 

  122. B. N. Fradlin, “A classification of the trajectories of a material point acted on by a central force which depends on distance alone,” Anniversary Collection: Scientific Papers from the Kiev Polytechnic Institute [in Russian], 1948.

  123. B. N. Fradlin, “The motion of a material coint moving in a central force field,” Izv. Kievsk. politekhn. in-ta, vol. 9, 1949.

  124. B. N. Fradlin, “A complete classification of the trajectories of the general two-body problem,” Izv. Kievsk. politkhn. in-ta, vol. 10, 1950.

  125. B. N. Fradlin, “Special trajectories of drift-off to infinite distances for the general two-body problem,” Matem. zb. Kyivs'k. derzh. un-tu, no. 6, 1952.

  126. B. N. Fradlin, “Special collision trajectories of the general two-body problem,” Izv. Kievsk. politekhn. in-ta, vol. 12, 1953.

  127. B. N. Fradlin, “On P. V. Voronets' little-known studies on mechanics,” Voprosy istorii estestvoznaniya i tekhniki, no. 10, 1960.

  128. B. N. Fradlin, “A brief historical outline of the development of the n-body problem,” Trudy In-ta istorii estestvoznaniya i tekhniki AN SSSR, vol. 34, 1960.

  129. B. N. Fradlin, “The history of a certain error in analytical mechanics,” collection: Abstracts of Papers Presented at the First All-Union Inter-VUZ. Conference on the History of the Physicomathematical Sciences [in Russian], Izd-vo MGU, Moscow, 1960.

    Google Scholar 

  130. B. N. Fradlin, “The studies of P. V. Voronets in the field of analytical dynamics,” collection: Papers on the History of Mathematics, No. 2, [in Ukrainian], Vyd-vo AN URSR, Kiev, 1961.

    Google Scholar 

  131. B. N. Fradlin, “The development of studies on the dynamics of nonholonomic systems in the Ukraine,” Prykladna mekhanika, vol. 7, no. 5, 1961.

  132. B. N. Fradlin, “Lomonosov on the basic concepts and laws of mechanics,” Prykladna mekhanika, vol. 7, no. 6, 1961.

  133. B. N. Fradlin, “A certain error in nonholonomic mechanics,” Trudy In-ta istorii estestvoznaniya i tekhniki AN SSSR, vol. 43, 1961.

  134. B. N. Fradlin, “Petr Vasil'evich Voronets — One of the founders of nonholonomic mechanics,” Trudy In-ta istorii estestvoznaniya i tekhniki AN SSSR, vol. 43, 1961.

  135. B. N. Fradlin, “The history of the dynamics of nonholonomic systems,” Voprosy istorii estestvoznaniya i tekhniki, no. 11, 1961.

  136. B. N. Fradlin, “The studies of P. Appell on the dynamics of nonholonomic systems,” collection: Papers on the History of Mathematics, No. 3 [in Ukrainian], Vyd-vo AN URSR, Kiev, 1962.

    Google Scholar 

  137. B. N. Fradlin, “The problem of rotation of a solid body about a fixed point and the role of Russian and Soviet scientists in its development,” collection: Papers on the History of Mathematics, No. 3 [in Ukrainian], Vyd-vo AN URSR, Kiev, 1962.

    Google Scholar 

  138. B. N. Fradlin, “A forgotten paper by I. V. Meshcherskii,” Voprosy istorii estestvonznaniya i tekhniki, no. 13, 1962.

  139. B. N. Fradlin, “The dynamics of living organisms in the studies of Ya. I. Hrdina,” Prykladna mekhanika, vol. 8, no. 6, 1962.

  140. B. N. Fradlin, “S. A. Chaplygin's studies on nonholonomic mechanics and their subsequent development,” collection: Essays on the History of Mathematics and Mechanics [in Russian], Izd-vo AN SSSR, Moscow, 1963.

    Google Scholar 

  141. B. N. Fradlin, “The last studies of P. V. Voronets,” Prykladna mekhanika, vol. 9, no. 4, 1963.

  142. B. N. Fradlin, “The development of the dynamics of a solid body in the studies of P. V. Voronets,” collection: Papers on the History of Mathematics, no. 4 [in Ukrainian], Vyd-vo AN URSR, Kiev, 1963.

    Google Scholar 

  143. B. N. Fradlin, “The development of nonholonomic mechanics in the studies of Russian and Soviet scientists,” collection: Essays on the History of Engineering and the Natural Sciences, No. 4 [in Ukrainian], Vyd-vo AN URSR, Kiev, 1963.

    Google Scholar 

  144. B. N. Fradlin, “Permutable relations in analytical mechanics,” collection: Dynamics of Systems of Solid and Liquid Bodies [in Russian], Izd-vo AN UkrSSR, Kiev, 1963.

    Google Scholar 

  145. B. N. Fradlin, “The commutativity of the differentiation and variation operations in analytical mechanics,” Prykladna mekhanika, vol. 10, no. 5, 1964.

  146. B. N. Fradlin, Nonholonomic Mechanics and Ite Applications in the Natural Sciences and Engineering (Author's abstract of doctoral thesis: Kiev, Institute of Mathematics AS UkrSSR, 1966).

    Google Scholar 

  147. T. S. Shestakova, Collision Trajectories in the Three-dimensional Generalized Asteroid Problem (Author's abstract of candidate's thesis: Kiev, Institute of Mathematics AS UkrSSR, 1951).

    Google Scholar 

  148. Woronetz P., Sur l'intégration des équations aux derivées partielles, Bulletin des sciences mathématiques, Paris, vol. 47, 1923.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Prikladnaya Mekhanika, Vol. 3, No. 10, pp. 89–99, 1967

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sokolov, Y.D., Putyata, T.V. & Fradlin, B.N. Analytical and celestial mechanics in the Ukraine. Soviet Applied Mechanics 3, 62–69 (1967). https://doi.org/10.1007/BF00886536

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00886536

Keywords

Navigation