Automated algebraic manipulation in celestial mechanics
- 1 August 1971
- journal article
- Published by Association for Computing Machinery (ACM) in Communications of the ACM
- Vol. 14 (8), 538-541
- https://doi.org/10.1145/362637.362649
Abstract
In this paper we consider some of the applications of automated algebraic manipulation which have been made in celestial mechanics. Particular attention is paid to the use of Poisson series, and a typical problem in perturbation theory is described. The requirements of processors for use in celestial mechanics are considered and compared with those for general manipulation packages. Some future directions for research using these systems are briefly outlined. To illustrate the relative simplicity of the algorithms required in celestial mechanics, a typical integration problem is considered in an appendix.Keywords
This publication has 13 references indexed in Scilit:
- Equivalence of the perturbation theories of Hori and DepritCelestial Mechanics and Dynamical Astronomy, 1970
- Analytical Lunar Ephemeris: Brouwer's SuggestionThe Astronomical Journal, 1970
- The main problem of artificial satellite theory for small and moderate eccentricitiesCelestial Mechanics and Dynamical Astronomy, 1970
- The stellar three-body problemCelestial Mechanics and Dynamical Astronomy, 1969
- Canonical transformations depending on a small parameterCelestial Mechanics and Dynamical Astronomy, 1969
- Perturbation Theory for Strongly Perturbed Dynamical Systems. 1.The Astronomical Journal, 1968
- Applications of Literal Series to the Main Problem of the Lunar TheoryThe Astronomical Journal, 1968
- Lunar disturbing functionThe Astronomical Journal, 1966
- Oil constructing formal integrals of a Hamiltonian system near ail equilibrium pointThe Astronomical Journal, 1966
- The calculation of literal expansionsThe Astronomical Journal, 1959