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Modeling Galaxies: The Antennae Group's Accurate Rendering using Runge-Kutta Integration

The Antennae Group successfully models galaxies NGC-4038/9 using a fourth-order Runge-Kutta integration method. This study includes initial setup, methodology, analysis, and conclusions.

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Modeling Galaxies: The Antennae Group's Accurate Rendering using Runge-Kutta Integration

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  1. Contents • Motivation • Initial Setup • Methodology • Analysis • Conclusion The Antennae Group

  2. Toomre and Toomre • 1972 – T&T set out to model galaxies NGC-4038/9 (i.e. the antennae) and were able to successfully produce an accurate rendering using a fourth order Runge-Kutta integration method. The Antennae Group

  3. 1972 2006 The Antennae Group

  4. Kepler problem The Antennae Group

  5. Geometry The Antennae Group

  6. Galaxy Setup • We filled 12 concentric rings of radii 0.2Rmin to 0.75Rmin with a step of 0.05Rmin, with each ring having 3 more particles than the previous • Particles given initial velocity to maintain a circular orbit. • Softening: ε = 0.2 The Antennae Group

  7. Restricted 3-Body • Send satellite masses to 1.0 E-9 as compared to M = 1 for the center of mass. The Antennae Group

  8. Our Results The Antennae Group

  9. Comparison The Antennae Group

  10. Orbit Plane φ = 0 φ = 2π/3 The Antennae Group

  11. Tidal Forces The Antennae Group

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