# Gravitational N-Body Simulations

@inproceedings{Aarseth2003GravitationalNS, title={Gravitational N-Body Simulations}, author={Sverre J. Aarseth}, year={2003} }

Preface 1. The N-body problem 2. Predictor-corrector methods 3. Neighbour treatments 4. Two-body regularization 5. Multiple regularization 6. Tree codes 7. Program organization 8. Initial setup 9. Decision-making 10. Neighbour schemes 11. Two-body algorithms 12. Chain procedures 13. Accuracy and performance 14. Practical aspects 15. Star clusters 16. Galaxies 17. Planetary systems 18. Small-N experiments Appendix A. Global regularization algorithms Appendix B. Chain algorithms Appendix C. High…

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## References

SHOWING 1-10 OF 567 REFERENCES

### Direct methods for N-Body simulations

- Computer Science
- 1994

The new Hermite integration scheme is described; it is based on explicit evaluation of the force and its first derivative and it is shown that this scheme is particularly efficient when combined with hierarchical time-steps which reduce the amount of prediction.

### Regularization tools for binary interactions

- Physics
- 2001

We first discuss two-body and chain regularization methods for direct N-body simulations on HARP-2 and GRAPE-6. The former is used for accurate integration of perturbed binaries and hierarchies,…

### Direct Integration Methods of the N-Body Problem

- Physics
- 1972

A fourth-order polynomial method for the integration of iV-body systems is described in detail together with the computational algorithm. Most particles are treated efficiently by an individual…

### Integration Methods for Small N-Body Systems

- Physics
- 1988

This review concentrates on integration methods for small N-body systems (N ≤ 25). First some relevant astronomical problems are defined. Then follows a discussion of standard integration methods for…

### Performance analysis of direct N-body calculations

- Computer Science
- 1988

A theoretical framework for analyzing the computational cost of gravitational N-body codes is introduced and applied to three different types of direct-summation codes, including the type of Aarseth…

### The gravitational million-body problem

- Physics
- 2001

We review what has been learned recently using N-body simulations about the evolution of globular clusters. While simulations of star clusters have become more realistic, and now include the…

### Round-off sensitivity in the N -body problem

- Physics, Mathematics
- 1986

The solutions to the equations of motion of the gravitational N-body problem are extremely sensitive to very small changes in initial conditions, resulting in a near-exponential growth of deviations…

### Direct N-Body Calculations

- Physics
- 1985

The main principles for direct integration of large point-mass systems are outlined. Most particles are advanced by the Ahmad-Cohen neighbour scheme, using fourth-order force polynomials and…

### An implementation ofN-body chain regularization

- Physics
- 1993

The chain regularization method (Mikkola and Aarseth 1990) for high accuracy computation of particle motions in smallN-body systems has been reformulated. We discuss the transformation formulae,…