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Cartwheel Galaxies. Chi Yung Chim, Jaehyeok Yoo, Xiang Zhai, Yaojun Zhang. Introduction. System: a ring galaxy discovered in 1963 by Herzog More detailed feature discovered by Lynds in 1976: ring + nucleus Analysis of the spectrum reveals different velocities of ring and nucleus
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Cartwheel Galaxies Chi Yung Chim, Jaehyeok Yoo, Xiang Zhai, Yaojun Zhang
Introduction • System: a ring galaxy discovered in 1963 by Herzog • More detailed feature discovered by Lynds in 1976: ring + nucleus • Analysis of the spectrum reveals different velocities of ring and nucleus • Material between the ring and nucleus → Linking between the two?
Then Lynds and Toomre proposed the Cartwheel model to explain the features. • They proposed that the intruder gives a brief inward gravitational pull that changes a typical galaxy into a ring like structure. • Simulation: only the nuclei attract significantly • Our target: to revisit this simulation using Aarseth's Code.
Start: Initial conditions • We want a Gaussian distribution of areal density of the disk: • To make the nuclei only the significant source of gravitation, we set mdisk:mnucleus=1:99 • Kepler velocity for the masses on disk:
Ways to add masses: • Equal masses on the rings, with the ring separation determined by the density • Equal ring separation, with masses determined by density • Forget the rings and put equal masses throughout the whole space
Rings of equal mass • Equal number of identical test masses on each ring • Distribution of {r1, r2, …} follows the probability distribution:
How to pick the radius: • Let q = r/r0, and g(q) = q Exp(-q2/2) • We know g(q) < gmax= 0.606531 • Repeat choosing two uniformly distributed random numbers 0<X1<gmax and 0<X2<∞ ≈ 100, until X1 > g(X2) • Then q = X2
Another convenient method: • Choose random numbers 0<Xi<1 Xi
Mass Distribution Confirmation All equal mass Normalized for Md to be 0.01
Mass Distribution Confirmation Accumulated Gaussian dist. Equal ring mass Equal mass particles on a ring Normalized for Md to be 0.01 Equal ring mass Equal separation particles on a ring
Rings of equal separation • We use the same probability of the number of masses, and put the number of test masses for each ring according to the probability.
No more rings: cloud-like distribution • Put in masses randomly using r determined by the previous rule, and θ, φ determined by setting uniform random variables X1=0.5, 0 < X2 <1
Put it into motion! • Algorithm used: Aarseth Code • η = 0.2, ε = 0.3 • G = M = r0 =1 • Taken initial approach speed as if released from infinity • We performed two kinds of collision: • Point-intruder to galaxy • Galaxy to galaxy
Theoretical Interpretation • Phenomenon: Ring-like structure • Simple Model Explanation: What’s the influence of the two big nuclei on ONE test particle ?
Solvable Problem • Change in velocity: • Trajectory of the test particle:
Thanks!! • We refered to: • Lynds, Roger and Toomre, Alar. On the Interpretation of Ring Galaxy. The Astrophysical Journal, 209: 382 - 388, 1976. • Toomre, Alar and Toomre, Juri. Galactic Bridges and Tails. The Astrophysical Journal, 178: 623 - 666, 1972.