Cir X-1 is an unusual neutron-star X-ray binary system known for its powerful relativistic jets and highly erratic accretion behaviour. It is also believed to be one of the youngest X-ray binaries discovered. The system shows jet properties similar to those observed in black-hole X-ray binaries, making Cir X-1 a unique laboratory for studying accretion processes and jet physics in neutron-star systems. In this project, the student will analyse archival X-ray observations of Cir X-1 and characterise its complex behaviour using modern time-domain analysis techniques, including the Hilbert–Huang transform and Hurst exponent analysis. The aim is to identify key temporal patterns in the data and use them to better understand the orbital period, accretion disk behaviour, and jet activity in the system. This project will contribute to a broader understanding of how neutron stars in extreme binary environments can produce jet behaviour that resembles that of black holes, while also giving the student hands-on experience in time-series analyses and astrophysical data interpretation. Requirements: Comfortable to work with data Familiar with Python Background in X-ray astronomy is useful but not essential