Expansion of the Hamiltonian of the planetary problem into the Poisson series in elements of the second Poincare system

Solar System Research ◽

10.1134/s0038094615050081 ◽

2015 ◽

Vol 49 (6) ◽

pp. 430-441 ◽

Author(s):

A. S. Perminov ◽

E. D. Kuznetsov

Keyword(s):

Poisson Series ◽

Planetary Problem

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Expansion of the Hamiltonian for the planetary problem into a Poisson series in the heliocentric reference frame

Astronomy Letters ◽

10.1134/s106377371608003x ◽

2016 ◽

Vol 42 (8) ◽

pp. 555-566 ◽

Author(s):

D. V. Mikryukov

Keyword(s):

Reference Frame ◽

Poisson Series ◽

Planetary Problem

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Expansion of the Hamiltonian of the Two-Planetary Problem into the Poisson Series in All Elements: Application of the Poisson Series Processor

Solar System Research ◽

10.1023/b:sols.0000022825.93837.7d ◽

2004 ◽

Vol 38 (2) ◽

pp. 147-154 ◽

Author(s):

E. D. Kuznetsov ◽

K. V. Kholshevnikov

Keyword(s):

Poisson Series ◽

Planetary Problem ◽

Series Processor

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A FORTRAN-based list processor for Poisson series

Celestial Mechanics ◽

10.1007/bf01625279 ◽

1970 ◽

Vol 2 (4) ◽

pp. 474-480 ◽

Author(s):

W. H. Jefferys

Keyword(s):

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Processing Poisson series in parallel

Journal of Symbolic Computation ◽

10.1016/s0747-7171(08)80040-5 ◽

1990 ◽

Vol 10 (2) ◽

pp. 179-201 ◽

Author(s):

André Deprit ◽

Etienne Deprit

Keyword(s):

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Fully Bayesian inference for α -stable distributions using a Poisson series representation

Digital Signal Processing ◽

10.1016/j.dsp.2015.08.018 ◽

2015 ◽

Vol 47 ◽

pp. 96-115 ◽

Author(s):

Tatjana Lemke ◽

Marina Riabiz ◽

Simon J. Godsill

Keyword(s):

Bayesian Inference ◽

Series Representation ◽

Stable Distributions ◽

Poisson Series ◽

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Solving problems symbolically by using Poisson Series Processors

ACM SIGSAM Bulletin ◽

10.1145/347127.347317 ◽

1999 ◽

Vol 33 (3) ◽

pp. 18-19

Author(s):

J. F. San Juan ◽

A. Abad ◽

S. Serrano ◽

A. Gavín

Keyword(s):

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An improved algorithm to compute circular functions of Poisson series

Celestial Mechanics and Dynamical Astronomy ◽

10.1007/s10569-007-9090-9 ◽

2007 ◽

Vol 99 (1) ◽

pp. 59-68 ◽

Author(s):

María del Carmen Martínez ◽

Juan F. Navarro ◽

José Manuel Ferrándiz

Keyword(s):

Poisson Series ◽

Circular Functions ◽

Improved Algorithm

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PARSEC: An Interactive Poisson Series Processor for Personal Computing Systems

Applications of Computer Technology to Dynamical Astronomy ◽

10.1007/978-94-009-0985-4_41 ◽

1989 ◽

pp. 267-274

Author(s):

D. L. Richardson

Keyword(s):

Computing Systems ◽

Poisson Series ◽

Personal Computing ◽

Series Processor

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A Survey of Poisson Series Processors

Applications of Computer Technology to Dynamical Astronomy ◽

10.1007/978-94-009-0985-4_39 ◽

1989 ◽

pp. 245-253

Author(s):

Jacques Henrard

Keyword(s):

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Automated Computation of General Perturbations for the Flora Asteroidal Group

Publications of the Astronomical Society of Australia ◽

10.1017/s1323358000025340 ◽

1991 ◽

Vol 9 (1) ◽

pp. 149-149

Author(s):

M. F. He ◽

Zhangjie

Keyword(s):

Group Method ◽

Poisson Series ◽

The Mean ◽

Series Processor

AbstractThe general perturbations of the asteroids of the Flora group (975″ < n < 1150″, n - the mean daily motion) due to Jupiter have been automatically computed on an IBM 4341 computer with the Hansen method by manipulating Broucke’s Symbolic Poisson Series Processor, and the results have been compared with that computed previously with the Bohlin group method.

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