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  • 1975-1979  (3)
  • 1
    Electronic Resource
    Electronic Resource
    A note on expansions of functions of velocity in the two-body problem (1977)
    Springer
    Celestial mechanics and dynamical astronomy 15 (1977), S. 501-505 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Fourier expansions of functions of velocity in the two-body problem are obtained in terms of both the true anomaly and the mean anomaly.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01228615
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Theory of the rotation of the rigid earth (1977)
    Springer
    Celestial mechanics and dynamical astronomy 15 (1977), S. 277-326 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An analytical theory is developed for planes normal to the angular-momentum axis, to the figure axis, and to the rotational axis of the triaxial rigid Earth. One of the purposes of this paper is to determine the effect on nutation and precession of Eckertet al.'s improvement to Brown's tables of the Moon and to check Woolard's theory from a different point of view. The present theory is characterized by the use of Andoyer variables, a moving reference plane, and Hori's averaging perturbation method. A comparison with Woolard's results shows that (1) the maximum difference in nutation for the plane normal to the angular-momentum axis, calculated from the same constants as Woolard adopted, reaches 0″.0017, (2) the discrepancy in Oppolzer terms is large compared with the discrepancy in nutation for the plane normal to the angular-momentum axis, and (3) the present theory does not include some of the secular terms that are incorporated in Woolard's theory and that have an effect on the establishment of a reference system. The nutation coefficients ≥0″.0001 for the three above-mentioned planes are calculated by using the numerical values recommended at the working meeting of the International Astronomical Union held in Washington in September 1974. The effects on precession and nutation due to the higher geopotential (n≥3) are also investigated. Any future revision of the lunar theory will not alter the values of the coefficients of the nutational terms derived here.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01228425
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    A note on the averaging method (1978)
    Springer
    Celestial mechanics and dynamical astronomy 17 (1978), S. 131-136 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract When time-averaged equations are used to discuss the secular behavior of dynamical systems, the action-angle variables conjugate to the action variables of the unperturbed motion of the system should be chosen as dependent variables; otherwise, the results are not correct.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01371325
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    Paper (German National Licenses)
    Fulltext
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