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Symplectic integrators for solar system dynamics
Abstract
Certain symplectic integrators relevant to solar system dynamics are defined here. It is shown that the dominant long-term error arises from a constant error in the mean motion, and special starting procedure which can eliminate this error are described. The resulting improvement make these integrators easily the best available for a wide range of solar system problems.
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Citations
Cited by
The cosmological simulation code gadget-2
Springel, V. (2005) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2005.09655.x · Cited by 6,368
A hybrid symplectic integrator that permits close encounters between massive bodies
Chambers, J. E. (1999) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.1999.02379.x · Cited by 1,820
REBOUND: an open-source multi-purpose N-body code for collisional dynamics
Rein, H., & Liu, S.-F. (2012) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201118085 · Cited by 1,180
A Multiple Time Step Symplectic Algorithm for Integrating Close Encounters
Duncan, M. J., Levison, H. F., & Lee, M. H. (1998) · The Astronomical Journal · doi:10.1086/300541 · Cited by 585
Rein, H., & Tamayo, D. (2015) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stv1257 · Cited by 467
Metadata
- Authors
- Saha, P., & Tremaine, S.
- Venue
- The Astronomical Journal
- Publisher
- American Astronomical Society
- Published
- 1992-10
- Volume
- 104
- Pages
- 1633
- ISSN
- 0004-6256 (ISSN-L)
- OpenAlex
- W2060400964
- Cited by
- 189
- References
- 0
- FWCI
- 2.63
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Symplectic integrators for solar system dynamics. https://app.cochat.ai/papers/10.1086/116347
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- Saha, P., & Tremaine, S. (1992). Symplectic integrators for solar system dynamics. The Astronomical Journal. https://doi.org/10.1086/116347
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
