Table of Contents
Challenge 1: single mass clusters
Isolated models:
The N-body models can be described as:
- Initial conditions: Plummer (1911), N = 32768, all stars the same mass
- No primordial binaries, no central black hole
- Isolation
The data has the following format. Note that the first column can be used to recognise binaries (MN=2). The single components of the binaries are not given.
$M\times N$ | $X$ | $Y$ | $Z$ | $V_x$ | $V_y$ | $V_z$ |
---|---|---|---|---|---|---|
[NBODY] | [NBODY] | [NBODY] |
- 32k_logt4.tab.gz $T=10^4$
- 32k_logt5.tab.gz $T=10^5$
- 32k_logt6.tab.gz $T=10^6$
- 32k_logt7.tab.gz $T=10^7$
Tidally limited models:
The N-body models can be described as:
- Initial conditions: Plummer (1911), N = 65536, all stars the same mass
- No primordial binaries, no central black hole
- Circular orbit in a weak tidal field due to a point-mass galaxy with initially r_jacobi/r_h = 100
The model was ran until complete dissolution (roughly 6e5 N-body times) with Sverre Aarseth's NBODY6
. Two-body relaxation drives the evolution: core collapse occurs at roughly T = 1.2e4 and the cluster expands until it fills the Roche-volume roughly half-mass the evolution (T = 3e5). More details about this run can be found Alexander & Gieles (2012).
Below are 3 snapshots at interesting moments of the evolution. The Heggie & Mathieu (1986) N-body units are used: G=M=r_vir=1 (i.e. the mass of individual stars is m=1/65536). The 6 columns contain:
$X$ | $Y$ | $Z$ | $V_x$ | $V_y$ | $V_z$ |
---|---|---|---|---|---|
[NBODY] | [NBODY] |
- pl_eq_n64k_rjrh100_t012102.gz : In a core minimum just after core collapse [NEW: 19 Aug, 16:15]
- pl_eq_n64k_rjrh100_t013650.gz : In a core maximum
- pl_eq_n64k_rjrh100_t323790.gz : When ~75% of the stars is lost and the cluster is Roche-filling
Update 14-Oct-2014: More snapshots for this model (roughly) equally spaced by $5\times10^4$ $N$-body times covering the entire life-cycle:
Update: 29 Okt 2014: New version of the 10 snapshots above:
- Removed the individual components of binaries, and added the binary com pos and vel in the end of the file
- New first column with MxN = 1 for single stars and MxN = 2 for binaries
- New column (8) = 1 if r<rt
- New column (9) = 1 if E_Jacobi < E_crit
Update 29-Nov-2014:
- Fixed bug in energy computation
- New column (8): phi (= specific potential)
- New column (9); E_J = jacobi energy (see e.g. Fukushige & Heggie (2000), below equation 3)
- Added top line with: N, rt, E_crit
First line: N, rt, E_crit
$M\timesN$ | $X$ | $Y$ | $Z$ | $V_x$ | $V_y$ | $V_z$ | $\phi$ | $E_J$ | r < rt | E<Ecrit |
---|---|---|---|---|---|---|---|---|---|---|
[NBODY] | [NBODY] | [NBODY] | [NBODY] | [NBODY] | 0 or 1 | 0 or 1 |
For the last snapshot a table with specific energy and the z-component of the specific angular momentum vector can be found here:
- pl_eq_n64k_rjrh100_t323790.ejz.gz : When ~75% of the stars is lost and the cluster is Roche-filling
Note: the initial Jacobi radius of this model was $r_{\rm J}= 78.17$, such that the angular frequency of the orbit is $\Omega = 8.354\times 10^{-4}$ and the critical energy $E_{\rm crit} = -7.469\times 10^{-3}$ at T=323790 .
Illustration of the model evolution, moments of the snapshots are marked with dashed lines:
Properties of the clusters:
Cluster | Mass | $r_{\rm c}$ | $r_{\rm h}$ | $r_{\rm J}$ | |
---|---|---|---|---|---|
1 | 0.975 | $5.25\times 10 | {-3}$ | 1.143 | 77.3 |
2 | 0.953 | $8.61\times 10 | {-3}$ | 1.334 | 76.6 |
3 | 0.238 | $0.199$ | 6.871 | 48.3 |