Influence of small inertia on Jeffery orbits – CORRIGENDUM

We recently discovered an error in the implementation of the comparison with the theory of Einarsson et al. (2015a) that was performed in the paper of Di Giusto et al. (2024).This error does not invalidate the experimental work or the main conclusions of Di Giusto et al. (2024).It only affects the theory calculations and therefore its comparison with the experimental results.It does not affect the comparison with the theory of Dabade et al. (2016).In the paper of Di Giusto et al. (2024), the theory of Einarsson et al. (2015a) is introduced in Appendix B.1.The coefficients i of the dimensional equation (B1) should have unit of time.However, these coefficients were given in dimensionless form (obtained using the shear rate) in figure 2 of Einarsson et al. (2015b) which is reproduced in figure 14 of Di Giusto et al. (2024).The error arises from using the dimensionless coefficients instead of the dimensional ones in equation (B1).Correcting this error requires modifying figures 9, 10 and 11 of Di Giusto et al. (2024) as well as the corresponding JFM notebooks.The new figures (see figures 1, 2 and 3) demonstrate a closer match between experimental results and theoretical predictions.This is particularly evident in the fibre dynamics, where good agreement is maintained even for a particle Reynolds number of order O(1).Discrepancies are more pronounced for oblate bodies and when moving away from the theory validity limit, particularly for larger Reynolds numbers.The intriguing discrepancy between the experiments and the predictions of Einarsson et al. (2015b) and Dabade et al. (2016) regarding the stability of the tumbling orbit still remains.A joint effort is underway with Z. Wang, X. de Wit, B. Mehlig and F. Toschi to analyse the origin of these discrepancies, and a future paper will be dedicated to this analysis.