Anahata : The Unheard Resonance

Figure 2.1: Anahata logo

Figure 2.2: Anahata logo created using open source Blender 3D

CMAP: Cluster Membership Analysis Program

Figure 1.1: CMAP Module User Interface

Figure 1.2:

This project introduces CMAP, a powerful new tool designed to discover and analyze open star clusters within the Milky Way's most crowded stellar regions. Utilizing data from the Gaia mission, CMAP employs cutting-edge machine learning and statistical modeling to accurately identify individual cluster members, even in dense star fields where traditional methods struggle. CMAP connects directly to the Gaia database, enabling it to extract potential cluster members within a specified search radius. At its core, CMAP leverages advanced Gaussian Mixture Models (GMMs) combined with Bayesian inference and a Dirichlet process prior. This sophisticated approach ensures robust determination of key clustering parameters, leading to highly reliable member identification. Our tool can analyze cluster memberships in both 5-parameter astrometric space (right ascension, declination, proper motions in RA and Dec, and parallax) and 6-parameter space by incorporating Gaia DR3's precise radial velocity measurements. CMAP also handles the estimation of a cluster's astrometric parameters and its distance based on the most probable members. Furthermore, CMAP features an integrated isochrone module that connects with the MESA Isochrones and Stellar Tracks(MIST) library. This allows for efficient isochrone fitting using the identified cluster members, providing crucial estimates for a cluster's age and distance. The fitting module is parallelized for rapid and reliable computations. We are rigorously testing CMAP's effectiveness across a wide range of open clusters, including those nestled in dense fields and those far above the galactic disk. The distance estimates derived from our isochrone models will be carefully benchmarked against those obtained from member parallax measurements. We are confident that CMAP will revolutionize our ability to explore Gaia data, helping us discover old, distant, and previously hidden open clusters throughout our galaxy.

Legolas: Advanced Eclipse Timing Analysis for Binary Star Research

Figure 3.1: Derived ephomerides from TESS Observation of an HW Vir

Figure 3.2: Eclipse timeing calculation

Legolas is our powerful tool for the precise analysis of eclipse timings in binary star systems. It is specifically developed for the astronomical community working with: Eclipsing binaries of all types. Hot binaries, where precise timing is often critical for understanding their evolution and properties. Researchers analyzing data from space missions like TESS and Kepler, which provide vast amounts of photometric data ideal for eclipse timing. Ground-based observers who require exceptionally precise primary and secondary eclipse timings for follow-up observations and accurate ephemeris generation. Scientists engaged in binary modeling, who need robust and accurate eclipse parameters to constrain their theoretical models. Legolas automates the detection of eclipses using sophisticated deterministic algorithms, meticulously optimizing clipped events to ensure accuracy. Once identified, each eclipse is fitted with a hyperbolic model to precisely estimate its mid-point, from which we derive highly accurate ephemerides. These refined parameters are crucial for successfully observing companion objects and understanding the complex dynamics of various eclipsing binaries. Legolas also leverages O-C (Observed minus Calculated) analysis, which is vital for detecting subtle variations in eclipse timings. These variations can point to extrinsic origins, such as the gravitational influence of unseen tertiary companions or other astrophysical phenomena. The tool is designed to extract and analyze both primary and secondary eclipses, if present, and calculates O-C values for both. Additionally, Legolas includes a dedicated module for calculating light-travel time effects (Roemer delay), helping to further unravel the complex orbital mechanics within these systems. With its robust algorithms and comprehensive analysis capabilities, Legolas provides the precision and reliability required by experts in binary star astronomy to advance their research.

Introducing AnahatA: The Unheard Resonance