Determine whether TOI-5699 b has a nonzero orbital eccentricity

Determine whether TOI-5699 b follows a mildly eccentric orbit or a circular orbit, given that the available radial-velocity and transit data do not unambiguously distinguish between these possibilities.

Background

The paper reports a measured eccentricity of approximately 0.26–0.32 for the warm Jupiter TOI-5699 b, but several statistical tests provide conflicting levels of support for eccentricity. The Bayesian Information Criterion slightly favors a circular model, while alternative priors and likelihood-based comparisons favor an eccentric model. Bootstrap experiments further show that an eccentricity of the measured magnitude can arise from noise under a circular-orbit assumption.

Consequently, the authors regard the eccentricity as suggestive but not definitive. Resolving whether TOI-5699 b is genuinely eccentric is important for interpreting its dynamical history and for assessing whether mechanisms such as high-eccentricity migration are required.