Zonal-Harmonics Perturbations

被引:0
|
作者
Jan Vrbik
机构
[1] Brock University,Department of Mathematics
关键词
Kepler problem; Kustaanheimo–Stiefel equation; zonal harmonics;
D O I
暂无
中图分类号
学科分类号
摘要
A recently developed iterative technique for solving the perturbed Kepler problem is explained, in a step-by-step detail, using the simple example of oblateness perturbations. The results are then extended to deal with higher-degree zonal harmonics.
引用
收藏
页码:217 / 237
页数:20
相关论文
共 50 条
  • [1] Zonal-harmonics perturbations
    Vrbik, J
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2005, 91 (3-4): : 217 - 237
  • [2] Bounded relative motion under zonal harmonics perturbations
    Nicola Baresi
    Daniel J. Scheeres
    Celestial Mechanics and Dynamical Astronomy, 2017, 127 : 527 - 548
  • [3] Bounded relative motion under zonal harmonics perturbations
    Baresi, Nicola
    Scheeres, Daniel J.
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2017, 127 (04): : 527 - 548
  • [4] CORRECTION OF NUMERICAL RESULTS IN ELF TERRESTRIAL RADIO-WAVE FIELD CALCULATIONS WITH ZONAL-HARMONICS SERIES
    LEWIS, RL
    JOHLER, JR
    RADIO SCIENCE, 1976, 11 (02) : 75 - 81
  • [5] Perturbations of Zonal and Tesseral Harmonics on Frozen Orbits of Charged Satellites
    Abd El-Salam, Fawzy Ahmed
    Rahoma, Walid Ali
    El-Saftawy, Magdy Ibrahim
    Mostafa, Ahmed
    Khattab, Elamira Hend
    JOURNAL OF ASTRONOMY AND SPACE SCIENCES, 2024, 41 (02) : 87 - 106
  • [6] Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations
    Martinusi, Vladimir
    Gurfil, Pini
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2011, 111 (04): : 387 - 414
  • [7] Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations
    Vladimir Martinuşi
    Pini Gurfil
    Celestial Mechanics and Dynamical Astronomy, 2011, 111 : 387 - 414
  • [8] Zonal harmonics of the second type
    Nicholson, JW
    PHILOSOPHICAL MAGAZINE, 1922, 43 (253): : 1 - 19
  • [9] Investigations on series of zonal harmonics
    Bromwich, TJI
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1907, 4 : 204 - 222
  • [10] CORRECTION OF ZONAL HARMONICS IN SOLENOIDS
    LUGANSKII, LB
    INSTRUMENTS AND EXPERIMENTAL TECHNIQUES, 1989, 32 (05) : 1216 - 1219