By R. L. Duncombe, P. K. Seidelmann (auth.), Victor Szebehely (eds.)
P. J. MESSAGE collage of Liverpool The papers which contain this quantity have been provided at Colloquium No. forty-one of the overseas Astronimical Union, which was once held in Cambridge, England, from the seventeenth to the nineteenth of August, 1976, and had as its topic 'Dynamics of Planets and Satellites and Theories in their Motion'. The Colloquium used to be held simply sooner than the XVIth basic meeting of the Union (which was once held from twenty fourth August to 2d September, in Grenoble, France) to supply a chance for the presentation of study papers on a couple of energetic and vigorous branches of Celestial Mechanics to a meeting of specialists within the box, and for the stimulus of dialogue of study difficulties of curiosity to contributors. a couple of papers testify to the growth being made regularly Planetary concept, the theories of movement of the minor planets, the Moon, and the satellites of Jupiter and Saturn, and to major advances in either the final and limited gravitational difficulties of 3 our bodies. The Organizing Committee of the Colloquium used to be constituted of J. Chapront, R. L. Duncombe, J. Hadjidemetriou, Y. Kozai, B. Morando, J. Schubart, V. Szebehely, and P. J. Message (Chairman). The neighborhood Organizer used to be D. C. Heggie, to whose tireless efforts the good fortune of the preparations is due. IX checklist OF members N. Abu-el-Ata, Bureau des Longitudes, seventy seven road Denfert Rochereau, 75014 Paris, France ok. Aksnes, heart for Astrophysics, 60 backyard road, Cambridge, Massachusetts 02138, U. S. A.
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Additional info for Dynamics of Planets and Satellites and Theories of Their Motion: Proceedings of the 41st Colloquium of the International Astronomical Union Held in Cambridge, England, 17–19 August 1976
BRUMBERG ET AL. 40 the maximal degree of terms to be retained in power expansions. Depending on the magnitude of the mutual perturbations this maximal degree specific for each couple of planets has been chosen from 5 to 7. Only for the Jupiter-Saturn case we have computed ~ome terms of the eighth degree. The maximal degree of the retained terms for each couple of planets is presented in Table I where i, j are referred to disturbed and disturbing planets respectively and the tabular value for i = j corresponds to the undisturbed motion.
Using numerical values of these constants dictates~the semi-anal~tical form of our theory. Nevertheless, taking into account that all remaining parameters of the theory enter in literal form these series will be referred to as literal series of the general planetary theory. With a large computer it would be suitable to construct these series by iterations without using the developments in powers of the disturbing masses (Brumberg, 1974). , 1975a). But for the iterative solution on the whole the capcaities of BESM-6 are unsufficient and we have found the Poisson series using the expansions in powers of the disturbing masses.
Here P; and w. represent the o· O~ Poisson series (4,0) for the undisturbed motion 00 (5) GENERAL THEORY IN RECTANGULAR COORDINATES 35 00 w. o ~ L: L: w pqrs m=l (6) where p , w are absolute numerical constants having the same values ~gfsallP~l~nets. Polynomial variables a. and b. are of order of eccentricity and inclination of planet i respe~tively~ A bar denotes a complex conjugate quantity. Here and everywhere below the inner summation without explicit limits is performed over all non-negative values of power indices, the sum of which is equal to m.
Dynamics of Planets and Satellites and Theories of Their Motion: Proceedings of the 41st Colloquium of the International Astronomical Union Held in Cambridge, England, 17–19 August 1976 by R. L. Duncombe, P. K. Seidelmann (auth.), Victor Szebehely (eds.)