Schwarzschild models for M32 update for IV Guaix meeting (2025)

❑Andrés Beamuz Mingote ❑December 17th 2025 IV Reunión GUAIX Schwarzschild orbit-superposition method for the study of external galaxies with MEGARA@GTC ❑Galaxy formation and evolution —Compact Stellar Systems (CSSs) ❑M32 Observations and post-process ❑Astrometry and Kinematic calibration ❑Simulation results ❑Kinematic maps ❑Triaxial shape, inclination and SMBH mass ❑Orbit families-distribution 12/17/2025 2/14 INDEX IV Reunión GUAIX - Andrés Beamuz Mingote ❑Compact Stellar Systems (CSSs), intermediate masses and brightness ❑Main examples: UCDs and cEs ❑Have an unclear formation pathway ❑Present in dense environments (nurture) ❑Some isolated examples have been observed (nature) Galaxy formation and evolution —Compact Stellar Systems (CSSs) Janz, K. et al., (2015) —Figure 1 Taylor, K. et al., (2025) —Figure 1 M32 12/17/2025 3/14 IV Reunión GUAIX - Andrés Beamuz Mingote 12/17/2025 4/14 IV Reunión GUAIX - Andrés Beamuz Mingote ❑The closest cE to the MW: M32, satellite of Andromeda (M31) ❑Believed to have merged 2 Gyrs ago ❑Very high central surface-brigthness ❑𝜇0−𝐵 ≈12,6 mag arcsec−1 ❑𝜇0−𝑅 ≈ 15,3 mag arcsec−1 Galaxy formation and evolution —The closest compact Elliptical (cE) M32 Bekki, K. et al., (2001) —Figure 1 M32 Verolme, E. K. et al., (2002) —Figure 1 12/17/2025 5/14 IV Reunión GUAIX - Andrés Beamuz Mingote Vista infográfica de MEGARA Instrument MEGARA - LCB VPH VPH521 –MR Spectral range 4963 –5443 Å R( 𝛌/𝚫𝛌)~12000 FoV 12.5 ×11.3 arcsec2 Spaxel size 0.62 arcsec Observations of M32 —Instrument and characteristics Position (J2000) 00h42m41.83s +40◦51′55.0′′ Distance 770 kpc R eff 30 arcsec Exposure time 540 –600 s/point./frame Point. ×frames 9 ×5 FoV combined 36.4 ×34 arcsec2 Observations of M32 —Pointings distribution 12/17/2025 6/14 IV Reunión GUAIX - Andrés Beamuz Mingote Observations of M32 —Post-process (Kinematic calibration) Pre-calibration Post-calibration 12/17/2025 7/14 IV Reunión GUAIX - Andrés Beamuz Mingote GH expansion Chained correction DYNAMITE Implementation —Schwarzschild orbit-superposition method Parametric Model Stellar 2D potential (MGE) (data) Orbit Library 3D DM+SMBH Potential Stellar 3D Potential Total 3D Potential Kinematics Maps (data) Orbit weights + Error ( χ2) deprojection integration 12/17/2025 8/14 IV Reunión GUAIX - Andrés Beamuz Mingote DYNAMITE Implementation —Schwarzschild orbit-superposition method Parametric Model Stellar 2D potential (MGE) (data) Orbit Library 3D DM+SMBH Potential Stellar 3D Potential Total 3D Potential Kinematics Maps (data) Orbit weights + Error ( χ2) deprojection integration 12/17/2025 9/14 IV Reunión GUAIX - Andrés Beamuz Mingote ❑PLUMMER SMBH ❑NFW HALO ❑TRIAXIAL STARS