Thermal phase curves and eclipses for the GJ 1214 b system. Panel a: total thermal phase curve of the planet and a 6000 km tidally locked airless exomoon (blue line). Panel b: total thermal phase curve of the planet and a 6000 km exomoon with uniform temperature (dashed line). The exomoons orbit at 32 313 km around GJ 1214 b. The red lines in panels (a) and (b) show the thermal phase curve of GJ 1214 b alone, with data from Kempton et al. (2023). Panel c: occultation scenarios, with the exomoon blocked by the planet. The red indicators on the exomoon markers show the 180^° longitude. Panel d: transit scenarios, with the exoplanet blocked by the exomoon. The observation direction in panels (c) and (d) is from bottom to top, as indicated by the black arrows at the bottom.