Best Jasper prompts for Astronomers

Analyze the transmission spectra of exoplanet K2-18b, which has been observed by the Hubble Space Telescope, to determine the presence of molecular species such as water, methane, and ammonia. Use a Bayesian inference framework to model the spectra and account for instrumental noise and stellar contamination. Provide a table of the inferred abundances of each species, along with their corresponding uncertainties, and discuss the implications for our understanding of exoplanet atmospheric chemistry.

Develop a deep learning-based approach to classify galaxy morphologies based on images from the Sloan Digital Sky Survey. Use a convolutional neural network (CNN) architecture to extract features from the images and train the model on a labeled dataset of galaxy morphologies. Evaluate the performance of the model using metrics such as accuracy, precision, and recall, and discuss the potential applications of this approach for large-scale galaxy surveys.

Estimate the orbital parameters of the binary star system Alpha Centauri, including the semi-major axis, eccentricity, and orbital period, using radial velocity measurements from the European Southern Observatory. Use a Markov chain Monte Carlo (MCMC) algorithm to sample the posterior distribution of the parameters and account for uncertainties in the measurements. Provide a table of the estimated parameters, along with their corresponding uncertainties, and discuss the implications for our understanding of binary star system dynamics.

Analyze the luminosity distance-redshift relation of type Ia supernovae from the Pan-STARRS survey to infer the cosmological parameters, including the matter density, dark energy density, and Hubble constant. Use a Monte Carlo simulation framework to model the supernovae data and account for systematic uncertainties. Provide a table of the inferred parameters, along with their corresponding uncertainties, and discuss the implications for our understanding of the universe on large scales.