meeting 2023 11 20 n57 - JacobPilawa/TriaxSchwarzschild_wiki_5 GitHub Wiki

Context

  • We're reviving the N57 work now that the mock fire is mostly put out -- here is the state of where things left off.

Details/High Level Summary

  • High Level Details
    • D = 66.9 ± 2.9 (Jensen+2021) – this is 10 Mpc different from the previous distance measurement of 76.3 Mpc
    • GMOS PA: +41.0 E of N, Mitchell PA: +41.1;
    • GMOS PSF: Using Avg. weighted FWHM = 0.81"; Mitchell PSF: 0.5 (from N1453+N2693)
    • 215 GMOS bins (8 moments), 41 Mitchell bins (6 moments) = 256 total bins, 1966 total kinematic constraints
    • Also had done some preliminary sersic fits to determine R_core; could be interesting to revisit
And here is an exhaustive table of the different cubes we ran
Cube Name Date Summary
Cube A1 Feb 3, 2022 6d hypercube, with gNFW profile. A bit undersampled, seemed to miss minimum.
Cube A2 Feb 10, 2022 Submitted 1000 more models to cover higher black hole and higher halo region. Points chosen to have ~uniform density in the space.
Cube A1A2 Scaled Feb 22, 2022 Scalings. Scaled the 13 models above to 13 different scales between 0.9 and 1.1, giving ~26,000 models total.
Cube B March 1, 2022 Rejection sampled cube incorrectly built from 26,000 scaled models. ~1000 rejection sampled models. The error was in applying the "scale" to the models. Also scaled these models.
Cube B Prime March 15, 2022 Corrected the scaling issue from Cube B and ran ~1000 more models. Also scaled these models.
Cube C March 21, 2022 Rejection cube of 1000 models built from Cube A1A2 + Cube B Prime.
Lipka Tests March-April 2022 729 models at fixed masses, testing any effect of the Lipka m_eff on the shapes for N57.
Cube D May 17, 2022 Built another rejection sampled cube based on the 1sigma contours (instead of 2 sigma contours) to try to solve the issue bi-modality issue in Tmaj. Didn't seem to improve things that much.

Current Best Fits/Diagnostic Plots

First, here was the before-and-after imposing a prior on Tmaj cornerplot. As a quick reminder, these cornerplots were produced by running Emily's thinning routine on all scaled models (selecting best scaled version), but they differ in that the updated version uses a Gaussian prior with mean 0.55 and width 0.1 to avoid the bimodality.
Original Imposed Prior
Best Fit kinematics
Plot
Best Fit Sigma Profile
Plot

Masking Bin Details

  • Here are some details and diagnostics on the problematic bins:
First, here are some plots without any masks applied.
GMOS Bin Map Kinematic Maps One-sided radial plot Two-sided radial plot
Here's a version where I mask only the bins at the "corners" of the GMOS data. I think this is certainly better, but there are two more bins which I am in favor of removing which are shown in the next bullet.
GMOS Bin Map Kinematic Maps One-sided radial plot Two-sided radial plot
And here's a version where the GMOS corners are removed, as well as two more bins along the perimeter which have sigmas slightly below the Mitchell data. I think that this is the best version of the GMOS masking.
GMOS Bin Map Kinematic Maps One-sided radial plot Two-sided radial plot
And lastly, here's what I think ends up looking the best -- this has the GMOS corners masked, as well as the two additional bins along the perimeter. I also masked the two innermost Mitchell bins, and this GREATLY improves how the radial profiles appear.
GMOS Bin Map Kinematic Maps One-sided radial plot Two-sided radial plot
Same as prev. bullet Same as prev. bullet
  • And here are some plots comparing my data vs. Irina's vs. symmetrized and not:
And here are some comparsions to Irina's data -- I can't plot them in the same 1-to-1 style because we're using different binning schemes, but I think largely these data look consistent except for maybe the region near the very center?
All Kinematics Mitchell Only Irina's Input

MGE Details

  • Our original MGE fit was a great fit to the data, but it did have a "bump" of excess stellar mass near the center. We had been playing around with removing this by imposing a lower bound on sigma in our MGE fitting routine, and limiting this to be greater than or equal to 4 pixels seemed to do the job. We had submitted 100 models to test the effect of the new MGE on the best fit parameters, and we saw essentially no change between the two MGEs.

  • Here are some of the diagnostics of the new MGE fit and resulting parameters:

Original MGE Components
I [Lsun/pc^2] Sig [arcsec] q PA
6323.48 0.0965161 0.919959 0
6376 0.623279 0.949906 0
3966.81 1.09067 0.949906 0
3966.66 1.76526 0.843897 0
2643.14 3.05067 0.88211 0
698.844 5.58128 0.833226 0
653.081 8.53716 0.869193 0
190.653 18.5895 0.799925 0
69.162 46.7209 0.799925 0
"4pixel" MGE Components
I [Lsun/pc^2] Sig [arcsec] q PA
4768.46 0.4 0.887837 0
6239.64 0.811965 1 0
5130.89 1.62907 0.851777 0
2880.44 3.03036 0.877635 0
916.088 6.22377 0.841813 0
315.076 9.35045 0.900791 0
172.662 13.4426 0.795679 0
123.189 27.7333 0.801938 0
24.8487 87.5 0.632801 0
Comparison of the past and present deprojected 3D luminosity densities of our MGEs for refence
Plot
images/230811/lum_density_complete.png
1d chi2 vs. parameters
No Color Colored by BH Colored by ML
Cornerplots
K=40 K=60 K=80
nu=0.5
nu=1.5

Environment Details

Plots of the Mbh vs. environmental measure from HDC
Plot
Galaxy Mbh reference
A1836 https://ui.adsabs.harvard.edu/abs/2009ApJ...690..537D/abstract
NGC3842 https://ui.adsabs.harvard.edu/abs/2011Natur.480..215M/abstract
NGC4486 https://ui.adsabs.harvard.edu/abs/2011ApJ...729..119G/abstract
NGC4649 https://arxiv.org/abs/0910.4168
NGC4889 https://arxiv.org/abs/1112.1078
NGC6086 https://arxiv.org/abs/1009.0750
NGC1407 https://iopscience.iop.org/article/10.1088/0004-6256/146/6/160
NGC1550 https://iopscience.iop.org/article/10.1088/0004-6256/146/6/160
NGC3091 https://iopscience.iop.org/article/10.1088/0004-6256/146/6/160
NGC5328 https://iopscience.iop.org/article/10.1088/0004-6256/146/6/160
NGC5419 https://ui.adsabs.harvard.edu/abs/2016MNRAS.462.2847M/abstract
NGC5516 https://iopscience.iop.org/article/10.1088/0004-6256/146/6/160
NGC0057 This work!
results from the NED Constrained Cone Search but for the galaxies above -- NGC 57 is certainly the most isolated when considering only the small constrained cone searches, but remains in the top 3 lowest numbers of neighbors when expanding beyond the lower sets of bins.
Plot
Galaxy Constrained Cone Search Number of Group Members Listed in HDC
A1836 images/230921/Screenshot 2023-09-21 at 10.59.56 AM.png Not listed as part of a group but this is a cluster BCG...
NGC3842 images/230921/Screenshot 2023-09-21 at 10.59.58 AM.png N=42
NGC4486 images/230921/Screenshot 2023-09-21 at 11.00.50 AM.png N=205
NGC4649 images/230921/Screenshot 2023-09-21 at 11.00.52 AM.png N=205
NGC4889 images/230921/Screenshot 2023-09-21 at 11.00.55 AM.png N=49
NGC6086 images/230921/Screenshot 2023-09-21 at 11.00.57 AM.png Not listed in HDC...but is BCG of A2162
NGC1407 images/230921/Screenshot 2023-09-21 at 11.01.08 AM.png N=42
NGC1550 images/230921/Screenshot 2023-09-21 at 11.01.09 AM.png N=15
NGC3091 images/230921/Screenshot 2023-09-21 at 11.01.10 AM.png N=7
NGC5328 images/230921/Screenshot 2023-09-21 at 11.01.12 AM.png N=6
NGC5419 images/230921/Screenshot 2023-09-21 at 11.01.13 AM.png N=32
NGC5516 images/230921/Screenshot 2023-09-21 at 11.01.16 AM.png N=6
NGC0057 images/230921/Screenshot 2023-09-21 at 11.01.18 AM.png Only listed in LDC...has N=4 for LDC

V(R, Theta) Plots

  • I ended up running Emily's V(R, Theta) fitting routine for a few choices of bins and with/without the Mitchell data included.
  • I'll begin just by summarizing results previously found for N57 from MASSIVE VII, X, and XIV:
    • 1+d_g = 2.3

    • nu_10 = 4.9

    • M_K = -25.75

    • PA_Kin_GMOS = 100 +/- 22

    • PA_Kin_mitchell = N/A

    • PA_Phot = 40.2 +/- 0.5

    • Psi = 59.3 +/- 22

    • Note that these values (for the angles) are more or less in agreement with what I am finding below for V(R, Theta) fitting.

Results considering only the GMOS data alone with a varied number of radial bins:
5 Bins 7 Bins 9 Bins 11 Bins
And a few examples of only using the Mitchell data:
2 Bins 4 Bins 6 Bins 8 Bins
And here's a case where I've included the Mitchell data as well -- didn't spend too long making this look too pretty because the bounds were a bit hard to get rid. I can return to this if we want Mitchell's V in our final plot.
Plot
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