PERTURBED KEPLER-PROBLEM IN QUATERNIONIC FORM

被引:18
|
作者
VRBIK, J
机构
[1] Dept. of Math., Brock Univ., St. Catharines, Ont.
来源
关键词
D O I
10.1088/0305-4470/28/21/027
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new technique for solving the perturbed Kepler problem is presented. As its approach is essentially algebraic, it can be easily computerized and carried out to any perturbation order. It also eliminates the notorious difficulty of small divisors, and is well suited to deal with commensurable orbital periods, as demonstrated by its explanation of Kirkwood gaps.
引用
收藏
页码:6245 / 6252
页数:8
相关论文
共 50 条
  • [31] MULTIFRACTAL MEASURES AND STABILITY ISLANDS IN THE ANISOTROPIC KEPLER-PROBLEM
    GUTZWILLER, MC
    PHYSICA D, 1989, 38 (1-3): : 160 - 171
  • [32] ON CERTAIN ASYMPTOTIC SPECTRUM SERIES FOR A QUANTUM KEPLER-PROBLEM
    BELOV, VV
    DOBROKHOTOV, SY
    OLIVE, VM
    DOKLADY AKADEMII NAUK, 1993, 331 (02) : 150 - 154
  • [33] ACTION-ANGLE VARIABLES FOR THE DIAMAGNETIC KEPLER-PROBLEM
    FARRELLY, D
    MILLIGAN, JA
    PHYSICAL REVIEW A, 1992, 45 (11): : 8277 - 8279
  • [34] EXPONENTIAL INSTABILITY OF COLLISION ORBIT IN THE ANISOTROPIC KEPLER-PROBLEM
    YOSHIDA, H
    CELESTIAL MECHANICS, 1987, 40 (01): : 51 - 66
  • [35] A NEW INTEGRATED, GENERAL TIME TRANSFORMATION IN THE KEPLER-PROBLEM
    FERRANDIZ, JM
    FERRER, S
    BULLETIN OF THE ASTRONOMICAL INSTITUTES OF CZECHOSLOVAKIA, 1986, 37 (04): : 226 - 229
  • [36] SPINOR REGULARIZATION OF THE N-DIMENSIONAL KEPLER-PROBLEM
    CORDANI, B
    REINA, C
    LETTERS IN MATHEMATICAL PHYSICS, 1987, 13 (01) : 79 - 82
  • [37] PATH-GENERATING FUNCTION OF THE DIAMAGNETIC KEPLER-PROBLEM
    MULLER, K
    HONIG, A
    WINTGEN, D
    PHYSICAL REVIEW A, 1993, 47 (05): : 3593 - 3601
  • [38] ON THE CANONICAL EQUIVALENCE OF THE KEPLER-PROBLEM IN COORDINATE AND MOMENTUM SPACES
    LAKSHMANAN, M
    HASEGAWA, H
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (16): : L889 - L893
  • [39] Quaternions and the perturbed Kepler problem
    Waldvogel, Joerg
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2006, 95 (1-4): : 201 - 212
  • [40] Quaternions and the perturbed Kepler problem
    Jörg Waldvogel
    Celestial Mechanics and Dynamical Astronomy, 2006, 95 : 201 - 212