Physics•IB Extended Essay•April 2025•2,978 words
To what extent does the period of classical Cepheid variable stars correlate with their absolute magnitude?
An investigation exploring the period-luminosity relationship of Cepheid variables using modern data from the Large Magellanic Cloud, calibrated with Gaia parallax measurements. This research validates Henrietta Leavitt's discovery using regression analysis and contemporary astronomical datasets.
AstrophysicsData AnalysisVariable StarsCosmologyStatistical Methods
Physics•IB Extended Essay•September 2024 - January 2025•3,936 words
How do the layer height and temperature of a 3D-printed plastic object influence its fracture point due to tension?
A comprehensive study examining the mechanical properties of FDM 3D-printed PLA objects. Through tensile stress testing of 180 printed samples, this research identifies optimal printing parameters and develops mathematical models for predicting structural integrity.
Materials ScienceEngineering3D PrintingMechanical TestingExperimental Design
Mathematics•Math AA HL Internal Assessment•September 2024 - January 2025
To what extent can a solar transit's light curve be modeled using only the star's occult area?
A mathematical modeling investigation developing analytical functions to describe solar transits and eclipses. Uses calculus and integration to model the 2012 Venus transit, comparing theoretical predictions with real observational data to assess model accuracy.
Mathematical ModelingCalculusAstronomyIntegrationData Comparison