# Transit modelling of selected Kepler systems

## TL;DR

This study models several Kepler exoplanet systems using simple geometric transit models and MCMC, comparing results with a more advanced tool, and examines biases introduced by data integration times.

## Contribution

It introduces a straightforward transit modeling approach for multiple Kepler systems and compares its results with a sophisticated modeller, highlighting biases from data integration.

## Key findings

- Simple models yield results consistent with advanced tools.
- Longer data integration times bias parameter estimates.
- Larger radii and lower inclinations are derived from longer integrations.

## Abstract

This paper employs a simple model, considering just geometry and linear or quadratic limb darkening, to fit Kepler transit data via a Markov Chain Monte Carlo (MCMC) methodology for Kepler-1b, 5b, 8b, 12b, 77b, 428b, 491b, 699b, 706b, and 730b. Additional fits were made of the systems using the more sophisticated modeller Winfitter, which gives results in general agreement with the simpler model. Analysis of data with longer integration times showed biasing of the derived parameters, as expected from the literature,} leading to larger estimates for radii and reducing estimates of the system inclination.