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  • 1
    Book
    Book
    Symbolic and Algebraic Computation. EUROSAM '79, ¬An¬ International Symposium; 72 (1979)
    Berlin u.a. :Springer,
    Details
    Title: Symbolic and Algebraic Computation. EUROSAM '79, ¬An¬ International Symposium; 72
    Contributer: Ng, Edward W. , ACM , SIGSAM
    Publisher: Berlin u.a. :Springer,
    Year of publication: 1979
    Pages: 557 S.
    Series Statement: Lecture notes in computer science 72
    Type of Medium: Book
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    A general algorithm for the solution of Kepler's equation for elliptic orbits (1979)
    Springer
    Celestial mechanics and dynamical astronomy 20 (1979), S. 243-249 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An efficient algorithm is presented for the solution of Kepler's equationf(E)=E−M−e sinE=0, wheree is the eccentricity,M the mean anomaly andE the eccentric anomaly. This algorithm is based on simple initial approximations that are cubics inM, and an iterative scheme that is a slight generalization of the Newton-Raphson method. Extensive testing of this algorithm has been performed on the UNIVAC 1108 computer. Solutions for 20 000 pairs of values ofe andM show that for single precision (∼10−8) 42.0% of the cases require one iteration, 57.8% two and 0.2% three. For double precision (∼10−18) one additional iteration is required. Single- and double-precision FORTRAN subroutines are available from the author.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01371365
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    The gravitational field of a disk (1982)
    Springer
    Celestial mechanics and dynamical astronomy 26 (1982), S. 395-405 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This note gives the gravitational potential of the disk {(x, y, z):x 2 +y 2 ≤p 2 , z=0} and the gravitational field at the point (x, y, z). Formulas for a ring can be obtained as the difference of our results for two different values ofp. Results are obtained in terms of elliptic integrals and we indicate how these functions can be computed efficiently. Formulas necessary for the computation of partial derivatives are also given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01230419
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    Paper (German National Licenses)
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