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Abstract: In this work, we present improved scaling relations for globular cluster systems (GCS) and examine how type, elliptic shape (ϵ), systemic velocity (Vsys), Sérsic index (n), dynamic index (Re × σ), light profile slope (α, γ) and age affect the number of globular clusters (NGCs). To get a better understanding of the formation and development mechanisms of globular clusters, we separate the influence of the structural and dynamic parameter using several source data from SLUGGS, ACSVCS, and Forbes et al. (2018). Our findings support the presence of a precise co-evolution scenario where the halo's age, shape, and depth all have distinct effects on globular cluster abundance.
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Last update: July 10, 2026