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Commission de la Mecanique Celeste

  • Y. Hagihara
Conference paper
Part of the International Astronomical Union Transactions book series (IAUT, volume 13B)

Abstract

The number of works on celestial mechanics has been growing rapidly in these three years owing to the development of powerful computers and the modern progress in mathematics, being stimulated by the launching of space vehicles.

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Bibliography

  1. 1.
    Sconzo, P. Astr. Nachr., 287, 149, 1963.ADSzbMATHGoogle Scholar
  2. 2.
    Kranjc, A. Pubbl. Oss. astr. Univ. Bologna, 8, no. 18, 1963.Google Scholar
  3. 3.
    Fredrich, J Astr. Nachr., 288, 141, 1964.ADSMathSciNetGoogle Scholar
  4. 4.
    Dommanget, J Ann. Obs. R. Belgique, (3) 9, no. 5, 1963.Google Scholar
  5. 5.
    Hadjidemetriou, J Icarus, 5, 34, 1966; Z. Astrophys., 63, 116, 1966; Proc. IAU Symposium No. 25, 129, Thessaloniki, 1964.ADSMathSciNetGoogle Scholar
  6. 6.
    Goodyear, W. H. Astr. J., 70, 189, 1965.ADSMathSciNetGoogle Scholar
  7. 7.
    Sconzo, P., LeShack, A. R., Tobey, R. Astr. J., 70, 269, 1965.ADSGoogle Scholar
  8. 8.
    Stumpff, K. Himmelsmechanik, Bd. I. Deutscher Verlag d. Wiss., Berlin, 1959; NASA Techn. Note, D-1415, 1962.Google Scholar
  9. 9.
    Herrick, S. Astr. J., 70, 309, 1965.ADSMathSciNetGoogle Scholar
  10. 10.
    Herget, P. Astr. J., 70, 1, 1965.ADSGoogle Scholar
  11. 11.
    Stumpff, K. Mathematische Methoden der Himmelsmechanik und Astronautik, 1, 1966.Google Scholar
  12. 12.
    Jarnagin, M. P. Astr. Pap. Amer. Eph. 18, 1965.Google Scholar
  13. 13.
    Barlier, F. Bull, astr., 25, 325, 1965.Google Scholar
  14. 14.
    Muller, P., Barlier, F., Chassaing, J P. Bull, astr., (3) 1, 37, 1966.Google Scholar
  15. 15.
    Morael-Courtois, N. Centre Nat. Etude Spatiale, Note Techn. 5, 1966.Google Scholar
  16. 16.
    Barlier, F. Trajectories of Artificial Celestial Bodies as determined by Observations, 36, 1966.Google Scholar
  17. 17.
    Zhongolovich, I. D. Bjull. Inst. Teor. Astr., 10, no. 8 (121), 509, 1966.Google Scholar
  18. 18.
    Sejnalov, R. A. Bjull. Inst. Teor. Astr., 10, no. 8 (121), 537, 1966.Google Scholar
  19. 19.
    Mamedov, M. A. Bjull. Inst. Teor. Astr., 10, no. 8 (121), 549, 1966.Google Scholar
  20. 20.
    For example:Gooding, R. H. Planet. Space Sci., 12, 37, 1964; 14, 1173, 1966. Gooding, R. H., Taylor, R. J R. Aircraft Estab. Techn. Rep., 66190, 1966. Hiller, H. R. Aircraft Estab. Techn. Rep., 66020, 1966. Merson, B. H. Dynamics of Satellites, 83, Springer, Berlin, 1963. Merson, B. H. R. Aircraft Estab. Techn. Rep., 66255, 1966; Proc. IUTAM-IAU- COSPAR Symposium in Paris, on Trajectories of Artificial Celestial Bodies as determined by Observations, 1966. Gaposchkin, E., in the Smithsonian Astrophys. Obs., Special Reports.Google Scholar
  21. 21.
    Kranjc, A. Pubbl. Oss. astr. Univ. Bologna, 8, no. 18, 1963.Google Scholar
  22. 22.
    Hertz, H. G. NASA Techn. Note, D-3172, 1966.Google Scholar
  23. 23.
    Sochilina, A. S., Makarova, E. N. Beobachtungen künstlicher Erdsatelliten, no. 3,Berlin, 1964.Google Scholar
  24. 24.
    Sochilina, A. S. Bjull. Inst. Teor. Astr., 1966 (in press).Google Scholar
  25. 25.
    Batrakov, Yu. V. Proc. XVI. Intern. Astronaut. Congress, 1965.Google Scholar
  26. 26.
    Bond, V. R. Astr. J., 71, 8, 1966.ADSGoogle Scholar
  27. 27.
    Herrick, S. Proc. IAU Symposium No. 25, 274, Thessaloniki, 1964.Google Scholar
  28. 28.
    Böhme, S. Astr. Nachr., 287, 241, 1963.ADSGoogle Scholar
  29. 29.
    Kulikov, D. K. Bjull. Inst. Teor. Astr., 7, no. 10 (93), 770, 1960.Google Scholar
  30. 30.
    Huang, S.-S. Astrophys. J., 138, 471, 1963ADSGoogle Scholar

Bibliography

  1. 1.
    Bohan, N. A. Bjull. Inst. Teor. Astr., 9, no. 6 (109), 448, 1964.Google Scholar
  2. 2.
    Wilkens, A. Astr. Nachr., 190, 289, 1911.ADSGoogle Scholar
  3. 3.
    Martynenko, B. K. Bjull. Inst. Teor. Astr., 10, no. 7 (120), 457, 1965.MathSciNetGoogle Scholar
  4. 4.
    Liakh, R. A. Publ. Astr. Obs. Univ. Leningrad, 20, 1964.Google Scholar
  5. 5.
    Goodyear, W. H. Astr. J., 70, 524, 1965.ADSMathSciNetGoogle Scholar
  6. 6.
    Perlin, F. H. Bjull. Inst. Teor. Astr., 9, no. 9 (112), 607, 1964.Google Scholar
  7. 7.
    Danby, J M. A. Astr. J., 67, 287, 1962.ADSMathSciNetGoogle Scholar
  8. 8.
    Danby, J M. A. Astr. J., 70, 155, 1965.ADSMathSciNetGoogle Scholar
  9. 9.
    Musen, P. J Observateurs, 48, 11, 1965.ADSGoogle Scholar
  10. 10.
    Musen, P. NASA Techn. Note, D-2301, 1964.Google Scholar
  11. 11.
    Bailie, A. E., Fisher, D. NASA Techn. Note, D-1468, 1963.Google Scholar
  12. 12.
    Musen, P. NASA Techn. Note, D-2152, 1964.Google Scholar
  13. 13.
    Davis, M. Astr. J., 56, 188, 1952.ADSMathSciNetGoogle Scholar
  14. 14.
    Brouwer, D. Astr. J., 51, 37, 1944.ADSMathSciNetGoogle Scholar
  15. 15.
    Musen, P. J geophys. Res., 71, 1966 = NASA X-641-66-119, 1966.Google Scholar
  16. 16.
    Eckert, W. J, Brouwer, D. Astr. J., 46, 125, 1937.ADSGoogle Scholar
  17. 17.
    Musen, P., Carpenter, L. J-geophys. Res., 68, 2727, 1963.ADSzbMATHMathSciNetGoogle Scholar
  18. 18.
    Musen, P. J. Observateurs, 49, 54, 1966.ADSGoogle Scholar
  19. 19.
    Musen, P. J.geophys. Res., 66, 403, 1961.Google Scholar
  20. 20.
    Musen, P. J. geophys. Res., 68, i439, 1963-Google Scholar
  21. 21.
    Charnow, M. L. NASA Techn. Note, D-3378, 1966.Google Scholar
  22. 22.
    Hori, G. Publ. astr. Soc. Japan, 18, no. 4, 1966.Google Scholar
  23. 23.
    Grebenikov, E. A. Astr. Zu., 41, no. 3, 567, 1964; 42, no. 1, 190, 1965; Publ. Sternberg Inst., 35, 1966.Google Scholar
  24. 24.
    Musen, P. J Astronaut. Sci., 12, 129, 1965.Google Scholar
  25. 25.
    Morrison, J A. Methods in Celestial Mechanics and Astrodynamics, 117, 1966; SIAMJ.,13, 96, 1965. cf., Kyner, W. T. SIAMJ, 13, 136, 1965.Google Scholar
  26. 26.
    Gormally, J M. Methods in Celestial Mechanics and Astrodynamics, 199, 1966. van der Corput, J G. J Analyse Math., 4, 341, 1956; 5 315, 1957Google Scholar
  27. 27.
    Kantorowitsch, L. W., Krylov, W. I. Näherungsmethoden der höheren Analysis, Deutsche Verlag d. Wiss., Berlin, 1956.Google Scholar
  28. 28.
    Cesari, L. Contr. to Diff. Eqs., 1, 149, 1963.MathSciNetGoogle Scholar
  29. 29.
    Urabe, M. Archive Rat. Mech. Analysis, 20, 120, 1965.ADSzbMATHMathSciNetGoogle Scholar
  30. 30.
    Brumberg, V. A. Trudy Inst. Teor. Astr., 9, 3, 1966.MathSciNetGoogle Scholar
  31. 31.
    Brumberg, V. A. Bjull. Inst. Teor. Astr., 11, no. 2 (125), 1966.Google Scholar
  32. 32.
    Kovalevsky, J C. R. Acad. Sci., Paris, 258, 4435, 1964.zbMATHMathSciNetGoogle Scholar
  33. 33.
    Kovalevsky, J Proc. I AU Symposium No. 25, 326, Thessaloniki, 1964.Google Scholar
  34. 34.
    Meffroy, J C.R. Acad. Sci., Paris, 260, 1571, 1965.zbMATHMathSciNetGoogle Scholar
  35. 35.
    Meffroy, J C.R. Acad. Sci., Paris, 260, 1863, 1965.zbMATHMathSciNetGoogle Scholar
  36. 36.
    Ferraz Mello, S. Mem. Soc. astr. Italiana, 37, no. 2, 1966.Google Scholar
  37. 37.
    Ferraz Mello, S. C.R. Acad. Sci., Paris, 258, 463, 1964.Google Scholar
  38. 38.
    Miatchine, V. F. Bjull. Inst. Teor. Astr., 9, no. 10 (113), 668, 1964; 10, no. 3 (116), 1965.Google Scholar
  39. 39.
    Miatchine, V. F. Bjull. Inst. Teor. Astr., 7, no. 4 (87), 257; 8, no. 8 (101), 134, 1961.Google Scholar
  40. 40.
    Subbotin, N. S. Bjull. Inst. Teor. Astr., 10, no. 2 (115), 143, 1965.Google Scholar
  41. 41.
    Foursenko, M. A. Bjull. Inst. Teor. Astr., 10, no. 4 (117), 272, 1965.Google Scholar
  42. 42.
    Gröbner, W. Die Lie-Reihen und ihre Anwendungen, Berlin, 1960.Google Scholar
  43. 43.
    Knapp, H. Monatshefte f. Math., 68, 33, 1964.zbMATHMathSciNetGoogle Scholar
  44. 44.
    Filippi, S. Mathematische Methoden der Himmelsmechanik und Astronautik, 307, Math.Forschungsinstitut, Oberwolfach, 1966.Google Scholar

Bibliography

  1. 1.
    Cohen, C. J, Hubbard, E. C. Astr.J, 70, 10, 1965.ADSMathSciNetGoogle Scholar
  2. 2.
    Sharaf, S. G., Budnikova, N. A. Trudy Inst. Teor. Astr., 10, 1964; 11, 89, 1966.Google Scholar
  3. 3.
    Hori, G., Giacaglia, G. E. O. Astr.J, (recent issue). 3a.Hori, G. Astr.J, 65, 291, i960.Google Scholar
  4. 4.
    Choudhry, R. K. J Indian Math. Soc., new series, 28, 99, 1964.MathSciNetGoogle Scholar
  5. 5.
    Kovalevsky, J C.R. Acad. Sci., Paris, 258, 4435, 1964.zbMATHMathSciNetGoogle Scholar
  6. 6.
    Orlov, A. A. Bjull. Inst. Teor. Astr., 10, no. 5 (118), 360, 1965.Google Scholar
  7. 7.
    Hori, G. Astr.J, 68, 125, 1963.ADSGoogle Scholar
  8. 8.
    Herget, P. Astr. J, 67, 16, 1962.ADSMathSciNetGoogle Scholar
  9. 9.
    Morando, B. Bull, astr., (3) 1, fasc. 4, 1966.Google Scholar
  10. 10.
    Wilkens, A. Sitzungsber. Bay. Akad. Wiss., Math-Phys. Kl 1963.Google Scholar
  11. 11.
    Kotsakis, D. Z. Astrophys., 60, 273, 1965; Bull. Soc. Math. Grece, 5, fasc. 1, 1964.Google Scholar
  12. 12.
    Galibina, I. V. Bjull. Inst. Teor. Astr., 9, no. 1 (104), 46, 1963; 9, no. 7 (no), 465, 1964.Google Scholar
  13. 13.
    Kastel, G. R. Bjull. Inst. Teor. Astr., 10, no. 2 (115), 118, 1965.Google Scholar
  14. 14.
    Brady, J L. Astr.J, 70, 279, 1965.ADSGoogle Scholar
  15. 15.
    Makover, B. G. Bjull. Inst. Teor. Astr., 9, no. 8 (111), 525, 1964.Google Scholar
  16. 16.
    Oort, J H. Bull. Astr. Inst. Netherlands, 11, 91 and 259, 1950.Google Scholar
  17. 17.
    Chebotarev, G. A. Astr. Zu., 40, no. 5, 1963; 41, no. 5, 983, 1964.Google Scholar
  18. 18.
    Chebotarev, G. A. Astr. Zu., 43, 435, 1966.ADSGoogle Scholar
  19. 19.
    Ferraz Mello, S. Bull, astr., (3) 1, fasc. 4, 1966.Google Scholar
  20. 20.
    Lanzano, P. Icarus, 1, 121, 1962.ADSGoogle Scholar
  21. 21.
    Marsden, B. G. The Motion of the Galilean satellites of Jupiter, Dissertation, Yale Univ., 1966.Google Scholar
  22. 22.
    Fish, F. F. Icarus, 3, 87, 1964.ADSGoogle Scholar
  23. 23.
    Redmond, J C., Fish, F. F. Icarus, 4, 442, 1965.Google Scholar
  24. 24.
    Kotsakis, D. D. Bull. Soc. Math. Gréce, 5, 3, 1964; Z. Astrophys., 60, 273, 1965.Google Scholar
  25. 25.
    Alfvén, H. Icarus, 3, 52 and 57, 1964.Google Scholar
  26. 26.
    Jaschek, C., Jaschek, M. Astr. J, 68, 108, 1963.ADSGoogle Scholar
  27. 27.
    Anders, E. Icarus, 4, 399, 1965.ADSGoogle Scholar
  28. 28.
    Sconzo, P. IBM Pub. Independent Res. and Develop. Program, Washington System Center, Task No. 0232-G, 1965.Google Scholar
  29. 29.
    Vinogradova, V. P., Radzievskii, V. V. Astr. Zu., 42, no. 2, 424, 1965.ADSGoogle Scholar
  30. 30.
    Goldreich, P. Mon. Not. R. astr. Soc., 126, 257, 1963.ADSzbMATHGoogle Scholar
  31. 31.
    Urey, H. C., Elsásser, W. M., Rochester, M. G. Astrophys. J, 129, 842, 1959.ADSGoogle Scholar
  32. 32.
    Goldreich, P. Astr.J, 70, 5, 1965.ADSGoogle Scholar
  33. 33.
    Cook, A. F., Franklin, F. A. Astr.J, 69, 173, 1964; 70, 704, 1965.Google Scholar
  34. 34.
    Toomre, A. Astrophys. J, 138, 385, 1963; 139, 1217, 1964. Cf., Milder, D.M. Astrophys. J. 69, 145, 109, 1966.Google Scholar
  35. 35.
    Hunter, C. Mon. Not. R. astr. Soc., 126, 299, 1963; 129, 321, 1965.ADSGoogle Scholar
  36. 36.
    Yabushita, S. Mon. Not. R. astr. Soc., 133, 247, 1966.ADSGoogle Scholar
  37. 37.
    Chebotarev, G. A., Bozhkova, A. I. Bjull. Inst. Teor. Astr., 9, no. 3 (106), 169, 1963.Google Scholar
  38. 38.
    Volkov, M. S. Bjull. Inst. Teor. Astr., 11, no. 3 (126), 1967.Google Scholar
  39. 39.
    Carpenter, L. NASA Techn. Note, D-3168, 1964.Google Scholar
  40. 40.
    Liu, H. S. jf. geophys. Res., 71, 3099, 1966.ADSGoogle Scholar
  41. 41.
    O’Keefe, J A., Liu, L. S. Science, 150, 1717, 1965.ADSGoogle Scholar
  42. 42.
    Colombo, G. Nature, 208, 575, 1965.ADSGoogle Scholar
  43. 43.
    Colombo, G., Shapiro, I. I. Smithson. astrophys. Obs., Spec. Rep., no. 1881, 1965; Astrophys.J, 145, 296, 1966.Google Scholar
  44. 44.
    Goldreich, P., Peale, S. J Nature, 209, 1078 and 1117, 1966.Google Scholar
  45. 45.
    Pettengill, G. H., Dyce, R. B. Nature, 206, 1240, 1965.ADSGoogle Scholar
  46. 46.
    Peale, S. J, Gold, T. Nature, 206, 1241, 1965.Google Scholar
  47. 47.
    Goldreich, P., Peale, S. J Astr. J, 71, 425, 1966.ADSGoogle Scholar
  48. 48.
    Goldreich, P. Astr. J, 71, 1, 1966.ADSMathSciNetGoogle Scholar
  49. 49.
    MacDonald, G. J F. Revs, of Geophys., 2, 467, 1964.ADSGoogle Scholar
  50. 50.
    Carpenter, R. L. Astr. J, 69, 2, 1964; 71, 142, 1966.ADSGoogle Scholar
  51. 51.
    Darwin, G. H. Phil. Trans., 170, 447, 1879; 171, 713, 1880 = Sci. Pap., II, 36 and 208, Cambridge Univ. Press, 1908.Google Scholar
  52. 52.
    Jeffreys, H. Mon. Not. R. astr. Soc., 122, 339, 1961. Ruskol, E. L. Astr. Zu., 43, 829, 1966.Google Scholar
  53. 53.
    McCord, T. B. Astr. J, 71, 585, 1966.ADSGoogle Scholar
  54. 54.
    Antonakopoulos, G. Thesis, Univ. of Athens, 1966.Google Scholar
  55. 55.
    Message, P. J Proc. IAU Symposium No. 25, 197, Thessaloniki, 1964.Google Scholar
  56. 56.
    Schubart, J ibid., 187.Google Scholar
  57. 57.
    Goldreich, P. ibid., 268; Mon. Not. R. astr. Soc., 130, 159, 1965.ADSGoogle Scholar
  58. 58.
    Wilkins, G. A. See Report of Commission 20, p. 399.Google Scholar
  59. 59.
    Lyttleton, R. A., Yabushita, S. Mon. Not. R. astr. Soc., 129, 105, 1965.MathSciNetGoogle Scholar
  60. 60.
    Yabushita, S. Mon. Not. R. astr. Soc., 133, 133, 1966.ADSGoogle Scholar
  61. 61.
    Urey, H. C. Mon. Not. R. astr. Soc., 131, 199, 1966.ADSGoogle Scholar

Bibliography

  1. 1.
    Eckert, W. J, Walker, M. J, Eckert, D. Astr.J, 71, 314, 1966.ADSGoogle Scholar
  2. 2.
    Eckert, W. J Astr.J, 70, 787, 1965.ADSGoogle Scholar
  3. 3.
    Eckert, W. J, Smith, H. F. Astr. Pap. Amer. Ephem., 19, Part 2, 1966; Proc. IAU Symposium No. 25, 242, Thessaloniki, 1964.Google Scholar
  4. 4.
    Eckert, W. J Trans. IAU, 12 B, 113, 1964.Google Scholar
  5. 5.
    Eckhardt, D. H. Astr.J, 70, 466, 1965.ADSMathSciNetGoogle Scholar
  6. 6.
    Klock, B. L., Scott, D. K. Astr. J, 70, 335, 1965.ADSGoogle Scholar
  7. 7.
    Curott, D. R. Astr.J, 71, 264, 1966.ADSGoogle Scholar
  8. 8.
    Petrovskaya, M. S. Bjull. Inst. Teor. Astr., 7, no. 6 (89), 441, 1959; 9, no. 4 (107), 257, 1963.Google Scholar
  9. 9.
    Schubart, J Math. Annalen, 149, 131, 1963.ADSzbMATHMathSciNetGoogle Scholar
  10. 10.
    Hochstadt, H. Math. Zeitschr., 82, 237, 1963; Archive Rat. Mech. Analysis, 19, 353, 1965; Trans. N. Y. Acad. Sci., (2) 26, 887, 1964; Comm. Pure Appl. Math., 17, 25, 1964.MathSciNetGoogle Scholar
  11. 11.
    Blumen, L. E. Comm. Pure Appl. Math., 16, 261, 1963.Google Scholar
  12. 12.
    Levy, D. M., Keller, J B. Comm. Pure Appl. Math., 16, 469, 1963.zbMATHMathSciNetGoogle Scholar
  13. 13.
    Brillouin, L. Quart. Appl. Math., 6, 167, 1948.zbMATHMathSciNetGoogle Scholar
  14. 14.
    de Vogelaere, R. Can. J Math., 2, 440, 1950.zbMATHGoogle Scholar
  15. 15.
    Szebehely, V. G. Amer. Rocket Soc.J, 32, 1938, 1962.Google Scholar
  16. 16.
    Barton, D. Astr.J, 71, 438, 1966.ADSGoogle Scholar
  17. 17.
    Stumpff, K. Mathematische Methoden der Himmelsmechanik und Astronautik, 51, I960; NASA Tech. Note D-1540, 1541, 1963.Google Scholar
  18. 18.
    Polanuer, D. Bjull. Inst. Teor. Astr., 9, no. 8 (III), 550, 1964; 10, no. 3 (116), 230, 1965.Google Scholar
  19. 19.
    Lyttleton, R. A. Icarus, 1, 137, 1962.ADSGoogle Scholar
  20. 20.
    Lyttleton, R. A. Icarus, 5, 162, 1966.ADSGoogle Scholar
  21. 21.
    Kopal, Z., Lyttleton, R. A. Icarus, 1, 455, 1963.ADSGoogle Scholar
  22. 22.
    Belorizky, D. J Observateurs, 49, 46, 1966.ADSGoogle Scholar
  23. 23.
    Smalley, V. G. Icarus, 5, 491, 1966.ADSGoogle Scholar

Bibliography

  1. 1.
    Aoki, S. Astr.J, 69, 221, 1964.ADSGoogle Scholar
  2. 2.
    Geisler, P. A. Astr. J, 68, 715, 1963.ADSMathSciNetGoogle Scholar
  3. 3.
    Geisler, P. A., McVittie, G. C. Astr.J, 70, 14, 1965.ADSMathSciNetGoogle Scholar
  4. 4.
    Podurets, M. A. Astr. Zu., 41, no. 1, 28, 1964.ADSGoogle Scholar
  5. 5.
    Zeldovich, Y. B. Astr, Zu., 41, no. 5, 873, 1964.ADSGoogle Scholar
  6. 6.
    Atkinson, R. d’E. Astr.J, 70, 513 and 517, 1965.Google Scholar
  7. 7.
    Dicke, R. H. Astr.J, 70, 395, 1965.ADSGoogle Scholar
  8. 8.
    Francis, M. P. Astr.J, 70, 449, 1965.ADSGoogle Scholar
  9. 9.
    Kustaanheimo, P. Information, Dept. Appl. Math., Univ. Helsinki, No. 1, 1965.Google Scholar
  10. 10.
    Kustaanheimo, P., Lehti, R. Astr.J, 68, 392, 1963.ADSMathSciNetGoogle Scholar
  11. 11.
    Florides, P. S., Synge, J L. Proc. R. Soc., A 270, 467, 1962.zbMATHMathSciNetGoogle Scholar
  12. 12.
    Das, A., Florides, P. S., Synge, J L. Proc. R. Soc., A 263, 451, 1961.zbMATHMathSciNetGoogle Scholar
  13. 13.
    Geisler, P. A., McVittie, G. C. Mon. Not. R. astr. Soc., 131, 483, 1966.MathSciNetGoogle Scholar
  14. 14.
    Levi-Civita, T. Atti Accad. Lincei, Rendiconti, 26, 307, 1917; 27, 3, 183, 220, 240, 283,343, 1918; 28, 3, 101, 1919.zbMATHGoogle Scholar
  15. 15.
    Weyl, H. Annalen d. Physik, 54, 117, 1917; 59, 101, 1919.ADSGoogle Scholar
  16. 16.
    Krause, H. G. L. NASA Techn. Note, R-188, 1964.Google Scholar
  17. 17.
    Roxburgh, I. W. Icarus, 3, 92, 1964; 4, 220, 1965.Google Scholar
  18. 18.
    Winer, I. M. Mon. Not. R. astr. Soc., 132, 401, 1966.ADSGoogle Scholar

Bibliography

  1. 1.
    Vinti, J P. J Res. nat. Bur. Stand., 67 B, 191, 1963; Mathematische Methoden der Himmelsmechanik und Astronautik, 97, 1966.MathSciNetGoogle Scholar
  2. 2.
    Vinti, J P. Trans. IAU, 12 A, 22, 1965.Google Scholar
  3. 3.
    Vinti, J P. J Res. nat. Bur. Stand., 70 B, 17, 1966.Google Scholar
  4. 4.
    Vinti, J P. jf. Res. nat. Bur. Stand., 70 B, 1, 1966.Google Scholar
  5. 5.
    Vinti. J P. Proc. IAU Symposium No. 25, 355, Thessaloniki, 1964.Google Scholar
  6. 6.
    Izsak, I. G. Smithson. Astrophys. Obs., Spec. Rep., no. 52, i960.Google Scholar
  7. 7.
    Allen, W. A., Knolle, W. E. Astr.J, 69, 393, 1964; 70, 152, 1965.ADSGoogle Scholar
  8. 8.
    Borchers, R. V. NASA Techn. Note, D-1539, 1963.Google Scholar
  9. 9.
    Aksenov, E. P., Grebenikov, E. A., Demin, V. G. Astr. Zu., 40, no. 2, 363, 1963.zbMATHMathSciNetGoogle Scholar
  10. 10.
    Kislik, M. D. Iskusstvennye Sputniki Zemli, 4, 3, 1960; 13, 23, 1961.Google Scholar
  11. 11.
    Aksenov, E. P. Space Research USSR (Kosm. Issledovanie), 1, 1963; Vestnik Sternberg Inst., no. 137, 1965; Pubi. Sternberg Inst., 35, 1966.Google Scholar
  12. 12.
    Aksenov, E. P., Grebenikov, E. A., Demin, V. G. Iskusstvennye Sputniki Zemli, 16, 163 and 173, 1963.Google Scholar
  13. 13.
    Yarov-Yarovoy, M. S. Bjull. Inst. Teor. Astr., 8, no. 9 (102), 647, 1962.Google Scholar
  14. 14.
    Vinti, J P. jf. Res. nat. Bur. Stand., 70 B, 1, 1966.Google Scholar
  15. 15.
    Alekseev, V. M. Bjull. Inst. Teor. Astr., 10, no. 4 (117), 241, 1965.Google Scholar
  16. 16.
    Deprit, A. Bull. Soc. Math. Belg., 14, 12, 1962. 32Google Scholar
  17. 17.
    Degtjarov, W. G., Ewdokimowa, L. S. Bjull. Inst. Teor. Astr., 10, no. 8 (121), 516, 1966.Google Scholar
  18. 18.
    Marchel, Ch. Actes du 15e Congrès Intern. D’Astronautique, 1, 159, 1964.Google Scholar
  19. 19.
    Marchel, Ch. Bull. astr., (3) 1, fasc. 3, 1966.Google Scholar
  20. 20.
    Garfinkel, B. Astr. J, 69, 223, 1964.ADSMathSciNetGoogle Scholar
  21. 21.
    Garfinkel, B., McAllister, G. T. Astr. J, 69, 453, 1964.ADSMathSciNetGoogle Scholar
  22. 22.
    Groves, G. V. Proc. R. Soc., A 254, 48, i960.Google Scholar
  23. 23.
    Garfinkel, B. Astr.J, 69, 567, 1964.ADSMathSciNetGoogle Scholar
  24. 24.
    Izsak, J G. J geophys. Res., 69, 2623, 1964.Google Scholar
  25. 25.
    Garfinkel, B. Astr.J, 70, 784, 1965.ADSMathSciNetGoogle Scholar
  26. 26.
    Garfinkel, B. Astr. J, 70, 699, 1965.ADSMathSciNetGoogle Scholar
  27. 27.
    Aksnes, K. Astrophys. Norv., 10, no. 4, 1965.Google Scholar
  28. 28.
    Kovalevsky, J Rendiconti Sem. Mat. e Fisico di Milano, 35, 1965.Google Scholar
  29. 29.
    Cook, A. H. Mon. Not. R. astr. Soc., 134, 253, 1966.ADSGoogle Scholar
  30. 30.
    Grebenikov, E. A. Bjull. Inst. Teor. Astr., 7, 811, i960.Google Scholar
  31. 31.
    Giacaglia, G. E. O. Astr.J, 69, 303, 1964; Correction, Astr.J, 71, 228, 1966.Google Scholar
  32. 32.
    Brouwer, D. Astr.J, 64, 378, 1959.ADSMathSciNetGoogle Scholar
  33. 33.
    Fisher, D. Astr.J, 68, 718, 1963.ADSGoogle Scholar
  34. 34.
    Musen, P. J geophys. Res., 64, 2271, 1959; 66, 403, 1961.ADSMathSciNetGoogle Scholar
  35. 35.
    Bailie, A., Bryant, R. Astr.J, 65, 451, i960.Google Scholar
  36. 36.
    Orlov, A. A. Bjull. Inst. Teor. Astr., 10, no. 1 (114), 6, 1965; 10, no. 5 (118), 360, 1965; Proc. XV. Intern. Astronaut. Congr., 1, 1965.Google Scholar
  37. 37.
    Kozai, Y. Astr.J, 67, 440, 1962.MathSciNetGoogle Scholar
  38. 38.
    Kholshevnikov, K. V. Bjull. Inst. Teor. Astr., 10, no. 5 (118), 332, 1965.Google Scholar
  39. 39.
    Kholshevnikov, K. V. Publ. Astr. Obs. Univ. Leningrad, no. 20, 1964; no. 21, 1964; Vestnik Univ. Leningrad, no. 13, 1965.Google Scholar
  40. 40.
    Allan, R. R., Cook, G. E. Proc. R. Soc., A 280, 97, 1964.zbMATHGoogle Scholar
  41. 41.
    Cook, G. E., Scott, D. W. R. Aircraft Estab. Techn. Rep., 65292, 1965.Google Scholar
  42. 42.
    Gooding, R. H. R. Aircraft Estab. Techn. Rep., 66018, 1966.Google Scholar
  43. 43.
    Cook, G. E. Planet. Space Set., 14, 433, 1966.ADSGoogle Scholar
  44. 44.
    Kaula, W. M. Dynamics of Rockets and Satellites, ed. by Groves, G. Y., 178, 1965; Aerospace Corp. Spec. ProJ Techn. Rep., SP-TR-65-4, 1965.Google Scholar
  45. 45.
    Batrakov, Yu. V. Symposium on the Trajectories of Artificial Celestial Bodies as determined by Observations, Paris, 1965 (in press).Google Scholar
  46. 46.
    Shute, B. E., Chiville, J Planet. Space Sci., 14, 361, 1966.ADSGoogle Scholar
  47. 47.
    Gaska, S. Bull. Polish Observ. Artif. Earth Satell., Warsaw, no. 10, 26, 1964; Vestnik Sternberg Inst., Moskow, no. 138, 321, 1966.Google Scholar
  48. 48.
    Sconzo, P., Benedetto, J Federal System Div., Intern. Business Machine Corp., Task No. 0232-G, 1965.Google Scholar
  49. 49.
    King-Hele, D. G., Quinn, E. Planet. Space Sci., 12, 681, 1964; 13, 707, 1965; 14, 817, 1966.ADSGoogle Scholar
  50. 50.
    Herzberg, L. Planet. Space Sci., 14, 451, 1966.ADSGoogle Scholar
  51. 51.
    Hiller, H. R. Aircraft Estab. Techn. Rep., 66020, 1966.Google Scholar
  52. 52.
    Shute, B. E. Astr.J, 71, 602, 1966.ADSGoogle Scholar
  53. 53.
    Kyner, W. T., Bennett, M. M. Astr.J, 71, 579, 1966. Kyner, W. T. Astr.J, 71, 583, 1966.Google Scholar

Bibliography

  1. 1.
    Chapront, J C. R. Acad. Sci., Paris, 260, 2131, 1965.MathSciNetGoogle Scholar
  2. 2.
    Chapront, J Bull, astr., (3) 1, 23, 1966.zbMATHGoogle Scholar

Bibliography

  1. 1.
    Trans. IAU, 12 A, 23, 1965.Google Scholar
  2. 2.
    Allan, R. R. Planet. Space Sci., 11, 1325, 1963; 12, 283, 1964; R. Aircraft Estab. Techn. Rep., 64078, 1965; Proc. R. Soc., A 288, 60, 1965; Proc. 16th IAF Conference, Athens, 1965, 6, 119, 1966; Planet. Space Sci., 1966 (to appear).Google Scholar
  3. 3.
    Stumpff, K. Mathematische Methoden der Himmelsmechanik und Astronautik, 113, 1966.Google Scholar
  4. 4.
    Cook, G. E. Planet. Space Sci., 11, 797, 1963.ADSGoogle Scholar
  5. 5.
    Blitzer, L. J geophys. Res., 70, 3987, 1965.ADSMathSciNetGoogle Scholar
  6. 6.
    Blitzer, L. Amer. Rocket Soc. J, 32, 714, 1962.Google Scholar
  7. 7.
    Newton, R. R. Appl. Phys. Lab. Rep., TG-571, 1963; TG-627, 1964; J geophys. Res., 69, 3619, 1964.Google Scholar
  8. 8.
    Guier, W. H. Appl. Phys. Lab. Rep., TG-503, 1963.Google Scholar
  9. 9.
    Guier, W. H. Nature, 200, 124, 1963.ADSzbMATHGoogle Scholar
  10. 10.
    Guier, W. H., Newton, R. R. J geophys. Res., 70, 4613, 1965.ADSGoogle Scholar
  11. 11.
    Anderle, R. J jf. geophys. Res., 70, 2453, 1965.ADSGoogle Scholar
  12. 12.
    Yionoulis, S. M. J geophys. Res., 70, 5991, 1965; 71, 1289, 1966; Appl. Phys. Lab.Rep., TG-633, 1964.Google Scholar
  13. 13.
    Blitzer, L. jf. geophys. Res., 71, 3557, 1966.ADSzbMATHGoogle Scholar
  14. 14.
    Kaula, W. M. Geophys. J, 5, 104, 1961.zbMATHGoogle Scholar
  15. 15.
    Jeffreys, B. Geophys. J, 10, 141, 1965.Google Scholar
  16. 16.
    Bennett, A. G. Boeing Sci. Res. Lab., D2-23307-1964.Google Scholar
  17. 17.
    Steg, L., De Vries, J P. Space Sci. Rev., 5, 210, 1966.Google Scholar
  18. 18.
    Garfinkel, B. Astr. J, 71, 657, 1966.ADSMathSciNetGoogle Scholar
  19. 19.
    Eckstein, M., Shi, Y., Kevorkian, J Proc. IAU Symp. No. 25, 291, Thessaloniki, 1964.Google Scholar

Bibliography

  1. 1.
    Poljakchova, E. N. Bjull. Inst. Teor. Astr., 9, 15, 1963.Google Scholar
  2. 2.
    Sehnal, L. Bull. astr. Inst. Csl 14, 133, 1963.zbMATHGoogle Scholar
  3. 3.
    Robertson, H. P. Mon. Not. R. astr. Soc., 97, 423, 1937.ADSzbMATHGoogle Scholar
  4. 4.
    Sehnal, L. Proc. COSPAR-IUTAM-ÏAU Symposium on the Trajectories of Artificial Satellites determined from Observations, Paris, 1965.Google Scholar
  5. 5.
    Cunningham, F. G. Amer. Rocket Soc. J, 32, 1399, 1962.zbMATHGoogle Scholar
  6. 6.
    Escobal, P. R. Amer. Rocket Soc. J, 32, 1939, 1962.Google Scholar
  7. 7.
    Eremenko, R. P. Bjull. Inst. Teor. Astr., 10, no. 6 (119), 1965.Google Scholar
  8. 8.
    Batrakov, Yu. V. Bjull. Inst. Teor. Astr., 1966 (in press).Google Scholar

Bibliography

  1. 1.
    King-Hele, D. G. Planet. Space Sci., 12, 4835, 1964.Google Scholar
  2. 2.
    King-Hele, D. G. Theory of Satellite Orbits in an Atmosphere, Butterworths, 1964, London.zbMATHGoogle Scholar
  3. 3.
    King-Hele, D. G. R. Aircraft Estab. Techn. Rep., 66010, 1966. 3a. King-Hele, D. G. ibid., 66076, 1966; Planet. Space Sci., 14, 863, 1966. Anderson, A. D. Planet. Space Sci., 14, 849, 1966.Google Scholar
  4. 4.
    Cook, G. E., King-Hele, D. G., Walker, D. M. C. Proc. R. Soc., A 257, 224, i960.Google Scholar
  5. 5.
    King-Hele, D. G. Proc. R. Soc., A 267, 541, 1962; 275, 357, 1963.Google Scholar
  6. 6.
    King-Hele, D. G., Quinn, E. Planet. Space Sci., 13, 707, 1965; 14, 107, 1966.ADSGoogle Scholar
  7. 7.
    Cook, G. E., King-Hele, D. G., Walker, D. M. C. Proc. R. Soc., A 264, 88, 1961.MathSciNetGoogle Scholar
  8. 8.
    Cook, G. E., King-Hele, D. G. Proc. R. Soc., A 275, 357, 1965.Google Scholar
  9. 9.
    Groves, G. V. Proc. R. Soc., A 254, 48, 1959; 252, 16, 1959; Planet. Space Sci., 5, 314, 1961; Mathematische Methoden der Himmelsmechanik und Astronautik, 147, 1966.Google Scholar
  10. 10.
    Parkyn, D. G. jf. geophys. Res., 65, 1, 1960.ADSGoogle Scholar
  11. 11.
    Lee, V. A. Amer. Rocket Soc. J, 32, 102, 1962.Google Scholar
  12. 12.
    Po, Nam Tum Bjull. Inst. Teor. Astr., 10, no. 5 (118), 317 and 324, 1965.Google Scholar
  13. 13.
    King-Hele, D. G. Planet. Space Sci., 11, 261, 1963; Ann. Geophys., 22, 40, 1966.Google Scholar
  14. 14.
    Nigam, R. C. jf. geophys. Res., 69, 1361, 1964. 14a. Anderson, A. D. Nature, 209, 656, 1966.Google Scholar
  15. 15.
    Allan, R. R., Cook, G. E. jf. geophys. Res., (in press), 1966.Google Scholar
  16. 16.
    Cook, G. E. Planet. Space Sci., 12, 1009, 1964.ADSGoogle Scholar
  17. 17.
    Fominov, A. M. Bjull. Inst. Teor. Astr., 9, no. 3 (106), 185, 1963; ibid., 9, no. 7 (110),499, 1964; ibid., 9, 1966 (in press).Google Scholar
  18. 18.
    Cook, G. E., King-Hele, D. G. Phil. Trans. R. Soc., A 259, 33, 1965.ADSGoogle Scholar
  19. 19.
    Cook, G. E., Plimmer, R. N. A. Proc. R. Soc., A 258, 516, 1960.MathSciNetGoogle Scholar
  20. 20.
    Cook, G. E. Proc. R. Soc., A 261, 246, 1961.zbMATHGoogle Scholar
  21. 21.
    Cook, G. E. Planet. Space Sei., 13, 929, 1965.ADSGoogle Scholar
  22. 22.
    King-Hele, D. G. Planet. Space Sei., 12, 835, 1964.ADSGoogle Scholar
  23. 23.
    King-Hele, D. G. R. Aircraft Estab. Techn. Rep., 66010, 1966; Proc. R. Soc., A 294, 261, 1966.Google Scholar
  24. 24.
    Fominov, A. M. Bjull. Inst. Teor. Astr., 9, no. 3 (106), 185; no. 7 (no), 499, 1963.MathSciNetGoogle Scholar
  25. 25.
    Kaula, W. M. jf. geophys. Res., 68, 4959 and 4967, 1963.Google Scholar
  26. 26.
    Cook, G. E. Planet. Space Sci., 13, 929, 1965; 15, 627, 1967.ADSGoogle Scholar
  27. 27.
    Smith, D. E. Planet. Space Sci., 13, 1283, 1965; 14, 455, 1966.ADSGoogle Scholar
  28. 28.
    Jacchia, L. G., Slowey, J Smithson. astrophys. Obs., Spec. Rep., no. 136,1963; no. 242,1967. 28a. Jacchia, L. G. ibid., no. 184, 1965.Google Scholar
  29. 29.
    Katsis, D. N. Epimegetoy Ergasterioy Astronomias Panepistemioy Athenon, 1965.Google Scholar
  30. 30.
    Brouwer, D., Hori, G. Astr. J, 66, 193 and 264, 1961.Google Scholar
  31. 31.
    Sehnal, L., Mills, S. B. Smithson. astrophys. Obs., Spec. Rep., 1966.Google Scholar
  32. 32.
    Sconzo, P., Rossoni, J P., Greenfield, R. J, Champion, K. S. Progress Astronaut. Aeronaut., 14, 157, 1964.Google Scholar
  33. 33.
    King-Hele, D. G., Rees, J M. jf. atmosph. terr. Phys., 25, 495, 1963. King-Hele, D. G., Quinn, E. jf. atmosph. terr. Phys., 27, 197, 1965; Planet. Space Sci., 13» 693, 1965; 14, 107, 1966.ADSGoogle Scholar
  34. 34.
    Cook, G. E., Scott, D. E. R. Aircraft Estab., Techn. Rep. (to be issued).Google Scholar

Bibliography

  1. 1.
    Beletski, V. V. Iskusstvennye Sputniki Zemli, 3, 13, 1959; 6, 11, 1961; 13, 53, 1962.Google Scholar
  2. 2.
    Beletski, V. V., Zonov, V. ibid., 7, 32, 1961.Google Scholar
  3. 3.
    Zonov, V. ibid., 3, 118, 1959.Google Scholar
  4. 4.
    Hagihara, Y. Smithson. Contr. Astrophys., 5, 113, 1961.ADSMathSciNetGoogle Scholar
  5. 5.
    Sarychev, V. A. Iskusstvennye Sputniki Zemli, 6, 3, 1961.Google Scholar
  6. 6.
    Morgan, J P. Amer. Rocket Soc.J, 31, 1089, 1961.Google Scholar
  7. 7.
    Velkov, M. S. Bjull. Inst. Teor. Astr., 8, no$15 (98), 343, 1962; 9, no$19 (105), 120, 144; no. 4 (108), 74, 283, 1963.Google Scholar
  8. 8.
    Morrison, J A. Quart. Appl. Math., 22, 148, 1964.zbMATHGoogle Scholar
  9. 9.
    Demin, V. G. Space Research USSR (Kosm. Issledovanie), 2, 1964; Pubi. Lumumba Univ., Ser. Mechanics, 1966.Google Scholar
  10. 10.
    Kondurar, V. T. Bjull. Inst. Teor. Astr., 10, no. 9 (122), 582, 1966; Pubi. Pedagogical Inst. Ivanovo, 1966.Google Scholar

Bibliography

  1. 1.
    Kaula, W. M. Trajectories of Artificial Celestial Bodies as Determined from Observations, La Lime a l’fire 1966; Proc. Intern. Conf. on Selenodesy, 1966.Google Scholar
  2. 2.
    Chebotarev, G. A., Kirpichnikov, S. N. BjulL Inst. Teor. Astr., 8, no. 6 (99), 402, 1962; 10, no. 2 (115), 109, 1965.Google Scholar
  3. 3.
    Kovalevsky, J La Lune ál’ Ére Spatiale, Presses Universitaires de France, p. 140, 1966.Google Scholar
  4. 4.
    Kovalevsky, J Proc. IAU Symposium No. 25, 326, Thessaloniki, 1964.Google Scholar
  5. 5.
    Goudas, C. L. Icarus, 3, 375, 1964; 4, 218, 1965.ADSGoogle Scholar
  6. 6.
    Poljakchova, E. N. BjulL Inst. Teor. Astr., 9, no. 6 (109), 440, 1964.Google Scholar
  7. 7.
    Milder, D. M. Astr. J, 68, 724, 1963.ADSGoogle Scholar
  8. 8.
    Szebehely, V., Pierce, D. A. Progress Astronaut. Aeronaut., 14, 35, 1964.Google Scholar
  9. 9.
    Stellmacher-Amilhat, I. Bull, astr., (3) 1, fasc. 3, 1966.Google Scholar
  10. 10.
    Stiefel, E. Dynamics of Rockets and Satellites, North Holland Pub. Co., Chap. 4, 1965.Google Scholar
  11. 11.
    Breakwell, J V., Ralph, P. Methods in Celestial Mechanics and Astrodynamics, p. 55, 1966.Google Scholar
  12. 12.
    Wolaver, L. E. ibid., p. 75.Google Scholar
  13. 13.
    Breakwell, J V., Perko, L. M. ibid,, p. 159.Google Scholar
  14. 14.
    Dusek, H. M. ibid., p. 37.Google Scholar
  15. 15.
    Chebotarev, G. A., Bozkova, A. Bjull. Inst. Teor. Astr., 9, no. 3 (106), 169; no. 6 (109), 388, 1963.Google Scholar
  16. 16.
    Kaula, W. M. Publ. no. 502, Inst. Geophys. Planet. Phys., Univ. Calif., 1966.Google Scholar
  17. 17.
    Yarov-Yarovoi, M. S. Publ. Sternberg Inst., 36, 1967; Differential Equations (USSR),1, no. 7, 1965; 1, no. 9, 1965.Google Scholar
  18. 18.
    Magnaradze, N. S. Bjull. astr. Obs. Abastumani, 30, 1964.Google Scholar
  19. 19.
    Giacaglia, G. E. O. NASA Techn. Rep., X-547-65-218, 1965.Google Scholar
  20. 20.
    Oesterwinter, C. Dissertation, Yale, 1966.Google Scholar
  21. 21.
    Shute, B. E. Astr. J, 71,602,1966. See (52) of section on Artificial Sattelites, page 32.Google Scholar

Bibliography

  1. 1.
    Lebedev, V. N., Rumyantsev, B. N. Iskusstvennye Sputniki Zemli, no. 16, 252, 1963.Google Scholar
  2. 2.
    Kelley, J H. Amer. Rocket Soc. J, 30, 947, 960.Google Scholar
  3. 3.
    Jurovies, S. A. Amer. Rocket Soc. J, 31, 518, 1961.Google Scholar
  4. 4.
    Jurovics, S. A., McLntyre, J E. Amer. Rocket Soc.J, 32, 1354, 1962.zbMATHGoogle Scholar
  5. 5.
    Kholshevnikov, K. W. Bjull. Inst. Teor. Astr., 10, no. 5 (118), 103, 1965.Google Scholar
  6. 6.
    Novoselov, V. S. Bjull. Inst. Teor. Astr., 9, no. 5 (108), 295, 1963.Google Scholar
  7. 7.
    Novoselov, V. S. Vestnik Univ. Leningrad, 13, 1964.Google Scholar
  8. 8.
    Novoselov, V. S. Publ. Astr. Obs. Univ. Leningrad, 20, 1965; 22, 1965.Google Scholar
  9. 9.
    Kirpichnikov, S. N. Vestnik Univ. Leningrad, no. 1, 1964; no. 7, 1964.Google Scholar
  10. 10.
    Tarushkin, V. T. Vestnik Univ. Leningrad, no. 13, 1965.Google Scholar
  11. 11.
    Hiller, H. Planet. Space Sei., 13, 147, 1233, 1965.ADSGoogle Scholar
  12. 12.
    Hiller, H. Planet. Space Sei., 14, 773, 1966.ADSGoogle Scholar
  13. 13.
    Barrar, R. B. Astronaut. Acta, 9, 1, 1963.Google Scholar
  14. 14.
    Krasinsky, G. A. Bjull. Inst. Teor. Astr., 9, no. 6 (109), 425, 1964.Google Scholar
  15. 15.
    Kirpichnikov, S. N. Bjull. Inst. Teor. Astr., 10, no. 1 (114), 27, 1965.Google Scholar
  16. 16.
    Sconzo, P. Astronaut. Acta, 9, 367, 1963.Google Scholar
  17. 17.
    Hiller, H. Planet. Space Sci., 13, 1233, 1965; 14, 773, 1966.ADSGoogle Scholar
  18. 18.
    King-Hele, D. G. Proc. 14th Int. Astronaut. Congr., 4, 155, Springer, Berlin, 1965.Google Scholar
  19. 19.
    Campbell, J H., Moore, W. E., Wolf, H. Methods in Astrodynamics and Celestial Mechanics, 355, 1966.Google Scholar
  20. 20.
    Van Dine, C. P., Fimple, W. R., Edelbaum, T. N. Ibid., 377.Google Scholar
  21. 21.
    Munick, H. Ibid., 401.Google Scholar
  22. 22.
    Ehricke, K. A. Ibid., 325.Google Scholar
  23. 23.
    Goldstein, A. A., Seidman, T. I. Mathematische Methoden der Himmelsmechanik und Astronautik, 257, 1966.Google Scholar

Bibliography

  1. 1.
    Kozai, Y. Publ. astr. Soc. Japan, 16, 263, 1964.ADSGoogle Scholar
  2. 2.
    Smith, D. E. Planet. Space Sci., 13, 1151, 1965.ADSGoogle Scholar
  3. 3.
    King-Hele, D. G. Planet. Space Sci., 12, 835, 1964; Nature, 207, 575, 1965.Google Scholar
  4. 4.
    King-Hele, D. G., Cook, G. E. Geophys.J, 10, 17, 1965.ADSGoogle Scholar
  5. 5.
    King-Hele, D. G., Cook, G. E., Rees, J M. Geophys. J, 8, 119, 1963.zbMATHGoogle Scholar
  6. 6.
    King-Hele, D. G., Cook, G. E., Scott, D. W. Planet. Space Sci., 13, 1213, 1965.ADSGoogle Scholar
  7. 7.
    King-Hele, D. G., Cook, G. E., Scott, D. W. Planet. Space Sci., 14, 49, 1966.ADSGoogle Scholar
  8. 8.
    King-Hele, D. G., Cook, G. E., Watson, H. M. Nature, 202, 996, 1964.ADSGoogle Scholar
  9. 9.
    Izsak, I. G. J geophys. Res., 69, 2621, 1964.ADSGoogle Scholar
  10. 10.
    Guier, W. H. Nature, 200, 124, 1963.ADSzbMATHGoogle Scholar
  11. 11.
    Guier, W. H., Newton, R. R. J geophys. Res., 70, 4613, 1965.ADSGoogle Scholar
  12. 12.
    Yionoulis, S. M. J geophys. Res., 71, 1768 and 4064, 1966.Google Scholar
  13. 13.
    Kozai, Y. Space Sci. Rev., 5, 818, 1966.ADSGoogle Scholar
  14. 14.
    Cook, A. H. Geophys. J, 10, 181, 1965.Google Scholar
  15. 15.
    Cook, A. H. Bull. astr., 25, 33, 1965.Google Scholar
  16. 16.
    Zhongolovich, I. D. Astr. Zu., 41, no. 1, 156, 1964.ADSzbMATHGoogle Scholar
  17. 17.
    Kaula, W. M. Proc. IUTAM Symposium on Dynamics of Satellites, at Paris, ed. By M. Roy, Springer, Berlin, 1963;J geophys. Res., 68, 473, 1963; Geophys. J, 5, 104, 1961; Advance Geophys., 9, 191, 1962; Dynamics of Rockets and Satellites, 179, 1965; Introduction to Space Science, ed. by W. N. Hess, 297, 1965; Proc. I AG Symposium, Use of Artificial Satellites for Geodesy, Athens, 1966; X geophys. Res., 71, 4377, 1966.Google Scholar
  18. 18.
    Kaula, W. M. J geophys. Res., 68, 4959 and 5183, 1963.Google Scholar
  19. 19.
    Izsak, Y. G. J geophys. Res., 68, 4967, 1963; 69, 2621, 1964; Trajectories of Artificial Celestial Bodies as Determined by Observations, 1966.Google Scholar
  20. 20.
    Kaula, W. M. The Earth-Moon System, ed. by B. G. Marsden and A. G. W. Cameron, Plenum, New York, 1966; Revs. Geophys., 2, 661, 1964.Google Scholar
  21. 21.
    Zhongolovich, I. D. Studia Geoph. et Geodet., 9, Paris, 1965.Google Scholar
  22. 22.
    Zhongolovich, I. D. Beobachtungen Künstlicher Erdsatelliten, no. 3, Berlin, 1965; no. 4, Prague, 1966.Google Scholar
  23. 23.
    Zhongolovich, I. D. Bull. Stations Optical Observ. AES (USSR), no. 46, 1966.Google Scholar
  24. 24.
    Zhongolovich, I. D. Bjull. Inst. Teor. Astr., 10, no. 8 (121), 509, 1966.Google Scholar
  25. 25.
    Zhongolovich, I. D. COSPAR Symp., Paris in 1965, Berlin in 1966.Google Scholar
  26. 26.
    Batrakov, Yu. V. Proc. XIV. Intern. Astronaut. Congr., 4, Paris, 1964. 26a. Batrakov, Yu. V. Astr. Zu., 42, no. 1, 195, 1965.Google Scholar
  27. 27.
    Kaula, W. M. Proc. IAG Symposium, Use of Artificial Satellites for Geodesy, Athens, 1966; J geophys. Res., 71, 5303, 1966; Publ. no. 508, Inst. Geophys. Planet. Phys., Univ. Calif., 1966; Proc. IAU Symposium No. 21, Astronomical Constants, Bull, astr., 25, 21, 1965.ADSGoogle Scholar
  28. 28.
    Kaula, W. M. Publ. no. 487, Inst. Geophys. Planet. Phys., Univ. Calif., 1966.Google Scholar
  29. 29.
    Sjogren, W. L., Trask, D. W. J Spacecraft, 2, 689, 1965.Google Scholar

Bibliography

  1. 1.
    Lemaître, G. Bull. Cl. Sci. Acad. Belg., 38, 582, 1218, 1952; 40, 759, 1954; Vistas in Astronomy y 1, 207, 1955.Google Scholar
  2. 2.
    Deprit, A., Delie, A. Ann. Soc. Sci. Bruxelles, 75, 5, 1961; Bull. Cl. Sci. Acad. Belg., 48, 652, 1962; Archive Rat. Mech. Analysis, 12, 325, 1963.Google Scholar
  3. 3.
    Deprit, A., Roels, J Bull. CI. Sci. Acad. Belg., 48, 432, 1962.zbMATHGoogle Scholar
  4. 4.
    Deprit, A., Broucke, R. Icarus, 2, 207, 1963.ADSMathSciNetGoogle Scholar
  5. 5.
    Broucke, R. Icarus, 4, 8, 1965.ADSMathSciNetGoogle Scholar
  6. 6.
    Arenstorf, R. F. Astr.J, 68, 548, 1963.ADSMathSciNetGoogle Scholar
  7. 7.
    Sconzo, P. unpublished yet.Google Scholar
  8. 8.
    Szebehely, V., Giacaglia, G. E. O. Astr.J, 69, 230, 1964.ADSMathSciNetGoogle Scholar
  9. 9.
    Szebehely, V. Mathematische Methoden der Himmelsmechanik und Astronautik, 21, 1966.Google Scholar
  10. 10.
    Szebehely, V. Astr.J, 69, 309, 1964.ADSMathSciNetGoogle Scholar
  11. 11.
    Szebehely, V., Pierce, D. A. Astr.J, 71, 886, 1966.ADSGoogle Scholar
  12. 12.
    Cesco, R. P. Obs. astr. La Plata, ser. Astr., 25, no. 4, 1963.Google Scholar
  13. 13.
    Cesco, R. P. Obs. astr. La Plata, ser. Astr., 31, no. 14, 1965.Google Scholar
  14. 14.
    Brumberg, V. A. Bjull. Inst. Teor. Astr., 9, no. 4 (107), 234, 1963.Google Scholar
  15. 15.
    Lóper Garcia, F. Commission Sci. Res. Province of Buenos Aires, La Plata, no. 21, 1966.Google Scholar
  16. 16.
    Zumkley, J Astr. Nachr., 272, 66, 1941.ADSMathSciNetGoogle Scholar
  17. 17.
    Cesco, R. P. Obs. astr. La Plata, ser. Astr., (in press).Google Scholar
  18. 18.
    Cesco, R. P. Obs. astr. La Plata, ser. Astr., (in press).Google Scholar
  19. 19.
    Chazy, J Mécanique Céleste, Presses Universitaires, Paris, 221, 1953.zbMATHGoogle Scholar
  20. 20.
    Kustaanheimo, P. Ann. Univ. Turkuens, A. I, 73, 1964 = Pubi, astr. Obs. Helsinki, no. 102, 1964.Google Scholar
  21. 21.
    Kustaanheimo, P., Stiefel, E. J reine angew. Math., 218, 204, 1965 = Publ. Astr. Obs. Helsinki, no. 110, 1965.Google Scholar
  22. 22.
    Kustaanheimo, P. Lectures on Celestial Mechanics I, Pubi. Astr. Obs, Helsinki, no. 117, 1966.Google Scholar
  23. 23.
    Kustaanheimo, P., Nuoto, V. S. Pubi. Astr. Obs. Helsinki, no. 109, 1965.Google Scholar
  24. 24.
    Rössler, M. Z. angew. Math. Phys., 16, 395, 1965.zbMATHGoogle Scholar
  25. 25.
    Rössler, M. Dissertation, Techn. Hochsch. Zürich, 1966.Google Scholar
  26. 26.
    Stiefel, E., Waldvogel, J C. R. Acad. Sci., Paris, 260, 805, 1965.zbMATHMathSciNetGoogle Scholar
  27. 27.
    Stiefel, E. Mathematische Methoden der Himmelsmechanik und Astronautik, 87, 1966.Google Scholar
  28. 28.
    Waldvogel, J Dissertation, Techn. Hochsch. Zürich, 1966. Waldvogel, J Mathematische Methoden der Himmelsmechanik und Astronautik, 33, 1966.Google Scholar
  29. 29.
    Kustaanheimo, P. Comm. Soc. Sei. Fenn., Phys.-Math., 30 - 9, 1965.Google Scholar
  30. 30.
    Kustaanheimo, P. Mathematische Methoden der Himmelsmechanik und Astronautik, 333, 1966.Google Scholar
  31. 31.
    Belorizky, D. Bull, astr., 16, 327, 1952.ADSMathSciNetGoogle Scholar
  32. 32.
    Belorizky, D. C. R. Acad. Sci., Paris, 262, 1133, 1966.zbMATHMathSciNetGoogle Scholar
  33. 33.
    Pierce, D. A. Astr. J, 71, 545 and 562, 1966.Google Scholar

Bibliography

  1. 1.
    Szebehely, V., Williams, C. A. Astr. J 69, 460, 1964.ADSGoogle Scholar
  2. 2.
    Szebehely, V. Space Sci. Rev., 2, 219, 1963.ADSGoogle Scholar
  3. 3.
    Szebehely, V. Methods in Astrodynamics and Celestial Mechanics, 3, 1966.Google Scholar
  4. 4.
    Danby, J M. A. Astr. J, 69, 165 and 294, 1964.Google Scholar
  5. 5.
    Grebenikov, E. A. Astr. Zu., 41, no. 3, 567, 1964.ADSzbMATHMathSciNetGoogle Scholar
  6. 6.
    Bennett, A. Icarus, 4, 177, 1965.ADSGoogle Scholar
  7. 7.
    Bernstein, I. S., Ellis, J Icarus, 5, 299, 1966.ADSGoogle Scholar
  8. 8.
    Szebehely, V. Intern. Congress of Mathematicians, Moscow, 1966.Google Scholar
  9. 9.
    Rabe, E. Lectures in Applied Mathematics, Vol. 6, 79, Amer. Math. Soc., 1966.Google Scholar
  10. 10.
    Rabe, E. ibid., 102.Google Scholar
  11. 11.
    Rabe, E. Proc. IAU Symposium No. 25, 176, Thessaloniki, 1964.Google Scholar
  12. 12.
    Rabe, E. Astr. J, 70, 329 and 687, 1965.Google Scholar
  13. 13.
    Deprit, A., Price, J F. Astr. J, 70, 836, 1965.ADSGoogle Scholar
  14. 14.
    Steffensen, J F. K. Danske Videnskab. Selskab., Math. Fys. Medd., 30, no. 18, 1956.Google Scholar
  15. 15.
    Deprit, A. Icarus, 4, 273, 1965.ADSMathSciNetGoogle Scholar
  16. 16.
    Deprit, A., Henrard, J Astr. J, 70, 271, 1965.ADSGoogle Scholar
  17. 17.
    Deprit, A. Boeing Sci. Res. Lab., D1-82-0335, 1963.Google Scholar
  18. 18.
    Deprit, A., Delie, A. Icarus, 4, 242, 1965.ADSMathSciNetGoogle Scholar
  19. 19.
    Deprit, A. Astr. jf., 71, 77, 1966.ADSGoogle Scholar
  20. 20.
    Deprit, A., Palmore, J Astr. J, 71, 94, 1966.ADSGoogle Scholar
  21. 21.
    Goodrich, E. F. NASA Techn. Note, X-643-65-420, 1965.Google Scholar
  22. 22.
    Roels, J Dissertation, Univ. Louvain, 1965.Google Scholar
  23. 23.
    Roels, J Bull. (3) 1, fasc. 3, 1966.Google Scholar
  24. 24.
    Delie, A. Dissertation, Univ. Louvain, 1966.Google Scholar
  25. 25.
    Roels, J Bull, astr., (3) 1, fasc. 2, 67, 1966.ADSGoogle Scholar
  26. 26.
    Henrard, J Dissertation, Univ. Louvain, 1966.Google Scholar
  27. 27.
    Deprit, A., Henrard, J, Rom, A. R. M. Boeing Sci. Res. Lab., Di-82-0556, 1966; Boeing Sci. Res. Lab., Di-82-0564, 1966; Icarus, 5, 1966 (in press).Google Scholar
  28. 28.
    Birkhoff, G. D. Dynamical Systems, Amer. Math. Soc., 1927.Google Scholar
  29. 29.
    Breakwell, J V., Pringle, R. Methods in Celestial Mechanics and Astrodynamics, 55, 1966.Google Scholar
  30. 30.
    Gustavson, F. G. Astr. J, 71, 670, 1966.ADSGoogle Scholar
  31. 31.
    Goodrich, E. F. Astr. J, 71, 88, 1966.ADSGoogle Scholar
  32. 32.
    Bartlett, J H. Publ. Medd. Kobenskavns Obs., no. 179, 1964.Google Scholar
  33. 33.
    Henon, M., Heiles, C. Astr. J, 69, 73, 1964.ADSMathSciNetGoogle Scholar
  34. 34.
    Henon, M. Ann. Astrophys., 28, 499 and 992, 1965.Google Scholar
  35. 35.
    Goudas, C. L. Icarus, 2, 1, 1963.ADSGoogle Scholar
  36. 36.
    Henon, M. Bull, astr., (3) 1, fasc. 1, 57, 1966; fasc. 2, 49, 1966.Google Scholar
  37. 37.
    Barbanis, B. Astr. J, 70, 285, 1965.ADSGoogle Scholar
  38. 38.
    Contopoulos, G. Astrophys. J, 142, 802, 1965.ADSzbMATHGoogle Scholar
  39. 39.
    Contopoulos, G. Astrophys. J, 138, 1297, 1963.ADSMathSciNetGoogle Scholar
  40. 40.
    Contopoulos, G. Astr. J, 68,763,1963; Proc. IA U Symposium No. 25, 3, Thessaloniki, 1964.Google Scholar
  41. 41.
    Contopoulos, G., Montsoulas, M. Astr. J, 70, 817, 1965; 71, 687, 1966.ADSGoogle Scholar
  42. 42.
    Contopoulos, G., Woltjer, L. Astrophys. J, 140, 1106, 1964.ADSMathSciNetGoogle Scholar
  43. 43.
    Contopoulos, G. Astr. J, 70, 526, 1965.ADSMathSciNetGoogle Scholar
  44. 44.
    Barbanis, B. Astr. J, 71, 415, 1966; Proc. IAU Symposium No.2$, 19, Thessaloniki, 1964.Google Scholar
  45. 45.
    Anderle, P. Bull. astr. Inst. Csl., 17, no. 4, 166 and 169.Google Scholar
  46. 46.
    Bozis, G. Astr. J, 71, 404, 1966.ADSGoogle Scholar
  47. 47.
    Bozis, G., Szebehely, V. Proc. IAU Symposium No. 25, 163, Thessaloniki, 1964.Google Scholar
  48. 48.
    Contopoulos, G. Astrophys. J, 145, 109, 1966; Astrophys. J Suppl., 13, no. 122, 1966.Google Scholar

Bibliography

  1. 1.
    Nahon, F. C. R. Acad. Sci., Paris, 258, 815, 1964.MathSciNetGoogle Scholar
  2. 2.
    Pius, L. Yu. Bjull. Inst. Teor. Astr., 11, no. 2 (125), 1967 (in press).Google Scholar
  3. 3.
    Jefferys, W. H. Astr. J, 70, 393, 1965.ADSMathSciNetGoogle Scholar
  4. 4.
    Krasinsky, G. A. Bjull. Inst. Teor. Astr., 9, no. 2 (105), 154, 1963.Google Scholar
  5. 5.
    Richards, P. B. Icarus, 1, 334, 1963.ADSMathSciNetGoogle Scholar
  6. 6.
    Lanzano, P. Icarus, 2, 364, 1963.ADSMathSciNetGoogle Scholar
  7. 7.
    Arenstorf, R. F. Amer.J Math., 85, 27, 1963.zbMATHMathSciNetGoogle Scholar
  8. 8.
    Danby, J M. A. Astr. J, 70, 181, 1965.ADSMathSciNetGoogle Scholar
  9. 9.
    Omarov, T. B. Astr. Zu., 41, no. 1, 170, 1964.ADSzbMATHGoogle Scholar
  10. 10.
    Choudhry, R. K. J Indian Math. Soc., 28, 119, 1964.zbMATHMathSciNetGoogle Scholar
  11. 11.
    Barrar, R. B. Astr. J, 70, 3, 1965.ADSMathSciNetGoogle Scholar
  12. 12.
    Jefferys, W. H. Astr. J, 71, 99 and 566, 1966.Google Scholar
  13. 13.
    Grémillard, J C. R. Acad. Sei., Paris, 234, 2339, 1952; 236, 49, 1953; 239, 153, 1954; 244, 1011, 1957; 247, 1307, 1958; 251, 2121, i960; 252, 1424, 1961; Bull, astr., 24, 483, 1965.Google Scholar
  14. 14.
    Choudhry, R. K. Bjull. Inst. Teor. Astr., 10, no. 8 (121), 523, 1966.Google Scholar
  15. 15.
    Alekseev, V. M. Astr. Zu., 38, no. 2, 325; no. 4, 726; no. 6, 1099, 1961; 39, no. 4, 724, 1962.Google Scholar
  16. 16.
    Merman, G. A. Bjull. Inst. Teor. Astr., 6, no. 2 (75), 73, 1955.Google Scholar
  17. 17.
    Pius, L. Yu. Bjull. Inst. Teor. Astr., 8, no. 1 (94), 11, 1961.Google Scholar
  18. 18.
    Barrar, R. B. Math. Annalen, 160, 363, 1965.zbMATHMathSciNetGoogle Scholar
  19. 19.
    Moser, J Math. Annalen, 126, 325, 1953; Nachr. Akad. Wiss. Göttingen, Math.-Phys. KL, 1962, i.Google Scholar
  20. 20.
    Petrovskaya, M. S. Bjull. Inst. Teor. Astr., 9, no. 2 (105), 85, 108, 1963; 10, no. 6 (119), 1965.Google Scholar
  21. 21.
    Eckstein, M. C., Shi, Y. Y., Kevorkian, J Astr. J, 71, 248, 1966; Douglas Report, no. 3078, 1964; Methods in Astrodynamics and Celestial Mechanics, 183, 1966.Google Scholar
  22. 22.
    Eckstein, M. C., Shi, Y. Y., Kevorkian, J Astr. J, 71, 301, 1966; Proc. IAU Symposium No. 25, 291, Thessaloniki, 1964. Kevorkian, J Astr. J, 71, 878, 1966.Google Scholar
  23. 23.
    Struble, R. A. jf. Math. Analysis Appl., 1, i960.Google Scholar
  24. 24.
    Szebehely, V., Pierce, D., Standish, M. Celestial Mechanics and Astrodynamics, 35, 1964.Google Scholar
  25. 25.
    Szebehely, V. Conference on the Exploration of Mars and Venus, NASA-VPI, VIII 1, 1965.Google Scholar
  26. 26.
    Szebehely, V. Lectures in Applied Mathematics, 5, 150, 1966, Amer. Math. Soc.Google Scholar
  27. 27.
    Shibahara, R., Yoshida, J Publ. astr. Soc. Japan, 15, 87, 1963.Google Scholar
  28. 28.
    Merman, G. A. Astr. Zu., 30, no. 3, 332, 1953; Bjull. Inst. Teor. Astr., 6, no. 2 (75),69, 73, 1955. cf., Khilmi, G. F., Qualitative Methods in the Many-Body Problem, Gordon-Breach, New York, 1961.Google Scholar
  29. 29.
    Alekseev, V. M. Astr. Zu., 38, no. 2, 325; no. 4, 726; no. 6, 1099, 1961; 39, no. 4, 724; no. 6, 1102, 1962.Google Scholar
  30. 30.
    Alekseev, V. M. Vestnik Moskov. Univ., no. 1, 67, 1961 = Amer. Rocket Soc. J, 32, 1488, 1962.Google Scholar
  31. 31.
    Arenstorf, R. F. Amer. J Math., 85, 27, 1963; Mathematische Methoden der Himmelsmechanik und Astronautik, 75, 1966.Google Scholar
  32. 32.
    Conley, C. C. Comm. Pure Appl. Math., 16, 449, 1963.zbMATHMathSciNetGoogle Scholar
  33. 33.
    Schubart, J, Stumpff, P. Astr. Rechen-Inst. Veroff., 18, 1966.Google Scholar
  34. 34.
    Schubart, J Sterne und Weltraum, 4, 277, 1965.ADSGoogle Scholar
  35. 35.
    Wielen, R. Dissertation, Heidelberg, 1965.Google Scholar
  36. 36.
    Miller, R. H. Proc. IAU Symposium No. 25, 137, Thessaloniki, 1964.Google Scholar
  37. 37.
    Aarseth, S. J ibid., 141; Mon. Not. R. astr. Soc., 126, 223, 1963.ADSGoogle Scholar
  38. 38.
    von Hoerner, S. ibid., 146; Z. Astrophys., 50, 184, 1960; 57, 47, 1963.Google Scholar
  39. 39.
    Chandrasekhar, S. Principles of Stellar Dynamics, Dover Pub., New York, i960.Google Scholar
  40. 40.
    Miller, R. H. Astrophys. J, 140, 250, 1964.ADSGoogle Scholar
  41. 41.
    D’Ambly, C.-G. Astr. Nachr., 288, 81, 1965.MathSciNetGoogle Scholar
  42. 42.
    Aarseth, S. J Mon. Not. R. astr. Soc., 132, 35, 1966.ADSGoogle Scholar

Bibliography

  1. 1.
    Nahon, F. C. JR. Acad. Sci., Paris, 257A, 2403, 1963; 259A, 65, 1964.Google Scholar
  2. 2.
    Nahon, F. Proc. IAU Symposium No. 25, 43, Thessaloniki, 1964.Google Scholar
  3. 3.
    Nahon, F. C. R. Acad. Sci., Paris, 262A, 669, 1966.zbMATHMathSciNetGoogle Scholar
  4. 4.
    Nahon, F. ibid., 262A, 1428, 1966.Google Scholar
  5. 4a.
    cf., Szebehely, V. Proc. IAU Symposium No. 25, 34, 1964.Google Scholar
  6. 5.
    Ghertzman, L. Bull, astr., (3) 1, fase. 3, 1966.Google Scholar
  7. 6.
    Moser, J Comm. Pure Appl. Math., 18, 167, 1965; Intern. Symposium on Nonlinear Diff. Eqs. and Nonlinear Mech., Acad. Press, New York, 71, 1963.Google Scholar
  8. 7.
    Struble, R. A., Yionouli, S. M. Archive Rat. Mech. Analysis, 9, 422, 1962.zbMATHGoogle Scholar
  9. 8.
    Struble, R. A. Quart. Appl. Math., 21, 121, 1963.MathSciNetGoogle Scholar
  10. 9.
    Hale, J K. Contr. Diff. Eqs., 1, 215, 1963.MathSciNetGoogle Scholar
  11. 10.
    Harvey, C. A. Contr. Diff. Eqs., 1, 425, 1963.MathSciNetGoogle Scholar
  12. 11.
    Villari, G. Annali Mat. Pura Appl., 65, 153, 389, 1964; 69, 171, 191, 1965.zbMATHMathSciNetGoogle Scholar
  13. 12.
    Silnikov, L. P. Doklady Mat., 6, 163, 1965.Google Scholar
  14. 13.
    Knobloch, H. W. Math. Zeitschr., 82, 177, 1963; Michigan Math. J., 9, 303, 1962.Google Scholar
  15. 14.
    Brumberg, V. A. Bjull. Inst. Teor. Astr., 9, no. 4 (107), 234, 1963.Google Scholar
  16. 15.
    Mittag-Leffler, G. Acta Math., 23, 43, 1900; 24, 183, 205, 1901; 26, 353, 1902; 29, 101,1905; 42, 285, 1920.MathSciNetGoogle Scholar
  17. 16.
    Painlevé, P. Leçons sur la Théorie Analytique des Equations Différentielles, Hermann,Paris, 1895; Bull, astr., 15, 81, 1898.Google Scholar
  18. 17.
    Goursat, E. Bull. Sci. Math., (2) 27, 226, 1903.zbMATHMathSciNetGoogle Scholar
  19. 18.
    Belorizky, D. J Observateurs, 16, 109, 149, 189, 1933; Bull. Sci. Math., (2) 62, 271, 1938.Google Scholar
  20. 19.
    Merman, G. A. Bjull. Inst. Teor. Astr., 9, no. 6 (109), 394, 1964.Google Scholar
  21. 20.
    Merman, G. A. ibid., 11, no. 4 (127), 1967 (in press).Google Scholar
  22. 21.
    Moser, J Math. Annalen, 1967 (in press); SI AM Rev., 8, 145, 1966.Google Scholar
  23. 22.
    Jefferys, W. H., Moser, J Astr. J, 71, 568, 1966.ADSMathSciNetGoogle Scholar
  24. 23.
    Krasinski, G. A. Bjull. Inst. Teor. Astr., 11, no. 2 (125), 1967. (in press).Google Scholar
  25. 24.
    Moser, J Comm. Pure Appl. Math., 9, 673, 1956; 11, 81, 257, 1958; Nachr. Akad. Wiss. Göttingen, Math-Phys. Kl., 1955, 87; 1962, 1.Google Scholar
  26. 25.
    Gelfand, I. M., Lidskii, V. B. Uspekhi Mat. Nauk, 10, no. 1 (63), 3, 1955 = Amer. Math. Soc. Transl., (2), 8, 143, 1958.MathSciNetGoogle Scholar
  27. 26.
    Segal, M. Comm. Pure Appl. Math., 17, 401, 1964.zbMATHGoogle Scholar
  28. 27.
    Glimm, J Comm. Pure Appl. Math., 17, 509, 1964.zbMATHMathSciNetGoogle Scholar
  29. 28.
    Arnold, V. I. Uspekhi Mat. Nauk, 18, 13, 91, 1963; = Soviet Math. Survey, 18, no. 5, 9; no. 6, 85, 1963; Doklady Mat., Akad. Nauk, 156, 9, 1964. cf. Janet, M. Proc. I AU Symposium No. 25, 33, Thessaloniki, 1964.Google Scholar
  30. 29.
    Salvadori, L. Annali Math. Pur a Appl., 69, 1, 1965.zbMATHMathSciNetGoogle Scholar
  31. 30.
    Pliss, V. A. Doklady Mat., Akad. Nauk, 154, 1044, 1964.MathSciNetGoogle Scholar
  32. 31.
    La Salle, J, Lefschetz, S. Stability of Liapounov’s Direct Method with Applications, Acad. Press, New York, 1961.Google Scholar
  33. 32.
    Hahn, W. Theorie und Anwendung der direkten Methode von Liapunov, Springer, Berlin, 1959Google Scholar
  34. 33.
    Cesari, L. Asymptotic Behavior and Stability Problems in Ordinary Differential Equations, Springer, Berlin, 1959.zbMATHGoogle Scholar
  35. 34.
    Brayton, R. K., Moser, J Quart. J Appl. Math., 22, 9, 81, 1964.MathSciNetGoogle Scholar
  36. 35.
    Brayton, R. K., Miranker, W. L. Archive Rat. Mech. Analysis, 17, 358, 1964.ADSzbMATHMathSciNetGoogle Scholar
  37. 36.
    Yoshizawa, T. Mem. Coll. Sci., Univ. Kyoto, 33, 301, 1960; Contr. Diff. Eqs., 1, 371, 1963; Archive Rat. Mech. Analysis, 6, 409, i960; 17, 148, 1964.Google Scholar
  38. 37.
    Hale, J K. Contr. Diff. Eqs., 1, 401, 1963; Archive Rat. Mech. Analysis, 15, 289, 1964.Google Scholar
  39. 38.
    La Salle, J P. Annals of Math., 65, 571, 1957.Google Scholar
  40. 39.
    Halkin, H. Archive Rat. Mech. Analysis, 17, 272, 1964; J Math. Analysis Appl., 7, 272, 1964; 10, 325, 1965; J Analyse Math., 12, 1, 1964.MathSciNetGoogle Scholar
  41. 40.
    Dearman, C. C., Le May, A. R. Mathematische Methoden der Himmelsmechanik und Astronautik, 213, 1966.Google Scholar
  42. 41.
    Fomin, V. M. Doklady Mat., Akad. Nauk, 163, 830, 1965.Google Scholar
  43. 42.
    Almkvist, G. Pacific jf. Math., 16, 383, 1966.zbMATHMathSciNetGoogle Scholar
  44. 43.
    Ura, T., Kimura, I. Proc. Japan Acad., 40, 703, 1964.zbMATHMathSciNetGoogle Scholar
  45. 44.
    Gottschalk, W., Hedlund, G. Topological Dynamics, Amer. Math. Soc., 1955.Google Scholar
  46. 45.
    Ura, T. Contr. Diff. Eqs., 3, 249, 1965.MathSciNetGoogle Scholar
  47. 46.
    Schwartz, J Comm. Pure Appl. Math., 16, 25, 1963.Google Scholar
  48. 47.
    Conley, C. C. Comm. Pure Appl. Math., 17, 237, 1964.MathSciNetGoogle Scholar
  49. 48.
    Minty, G. J Duke Math. J, 29, 341, 1962.zbMATHMathSciNetGoogle Scholar
  50. 49.
    Browder, F. E. Duke Math. J., 30, 557, 1963.zbMATHMathSciNetGoogle Scholar
  51. 50.
    Shinprot, M. Archive Rat. Mech. Analysis, 17, 225, 1964.Google Scholar
  52. 51.
    Moser, J Nachr. Akad. Wiss. Göttingen, Math. Phys. Kl., 1962, no. 1. Cf., (24).Google Scholar
  53. 52.
    Arnold, V. I. Uspekhi Mat., Akad. Nauk, 18, no. 6, 91, 1963.Google Scholar
  54. 53.
    Birkhoff, G. D. Acta Math., 43, 1, 1920; Annali Scuola Norm. Sup. Pisa, (2) 4, 267, 1935; 5» 1936 = Collec. Math. Pap., II, 111, 466 and 668, Amer. Math. Soc., 1950.Google Scholar
  55. 54.
    Jefferys, W. H. Astr. J, 71, 306, 1966.ADSGoogle Scholar
  56. 55.
    Diliberto, S. P. Techn. Rep., Contract Nour 222 (88) and NR 041 - 255, 1966.Google Scholar
  57. 56.
    Diliberto, S. P. Astr. J, 71, 246, 1966.ADSGoogle Scholar
  58. 57.
    Diliberto, S. P., Kyner, W. T., Freund, R. B. Astr.J, 66, 118, 1961.ADSMathSciNetGoogle Scholar
  59. 58.
    Diliberto, S. P. Naval Ordnance Lab. 6445, 1959.Google Scholar
  60. 59.
    Haseltine, W. R. Astr. J, 68, 522, 1963.ADSGoogle Scholar
  61. 60.
    Dowker, Y. N. Duke Math.J, 14, 105, 1947.Google Scholar
  62. 61.
    Brunk, H. D. Trans. Math. Soc. 78, 482, 1955.zbMATHMathSciNetGoogle Scholar
  63. 62.
    Blum, J R., Hanson, D. L. Froc. Amer. Math. Soc., 16, 413, 1965.zbMATHMathSciNetGoogle Scholar
  64. 63.
    Chacon, R. V., Ornstein, D. S. Illinois J Math., 4, 153, i960.Google Scholar
  65. 64.
    Furstenberg, H. Amer.J Math., 83, 573, 1961.zbMATHMathSciNetGoogle Scholar
  66. 65.
    Yosida, K. Functional Analysis, Springer, Berlin, 1966.Google Scholar
  67. 66.
    Arnold, V. I. C. R. Acad. Sci., Paris, 261, 3719, 1965.Google Scholar
  68. 67.
    Arnold, V. I. Doklady Akad. Nauk, 161, no. 1, 9, 1965.Google Scholar
  69. 68.
    Arnold, V. I. Uspekhi Mat. Nauk, 18, no. 5 (113), 13; no. 6 (114), 91, 1963« Cf., (28).Google Scholar
  70. 69.
    Arnold, V. I. C. R. Acad. Sci., Paris, 260, 5668, 1965; 261, 17, 1965; Ann. Inst. Fourier, Univ. Grenoble, 16, 319, 1966.Google Scholar
  71. 70.
    Kyner, W. T. Proc. IAU Symposium No. 25, 26, Thessaloniki, 1964.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1967

Authors and Affiliations

  • Y. Hagihara
    • 1
  1. 1.Department of Astronomy, Faculty of ScienceUniversity of TokyoBunkyo-ku, TokyoJapan

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