The data set is made of two items containing initial sub-domains of inconsistent, weakly-stable, unstable, crash, moon-crash, and capture sets at Mars [1]. They are compressed files that contain a classification of the sub-domains of the search-space defined and used to compute the consistency and quality criteria of the differential algebra mapping, as well as graphical representations of the search space. All initial sub-domains have initial epoch 09 DEC 2023 00:45:18.363 (UTC). The search space is built to maximize the capture ratio for Mars (see Figure 10 in [2]). Initial sub-domains are propagated in high-fidelity. The equations of motion of the restricted n-body problem including solar radiation pressure are considered. The first item contains a low-resolution mapping. The search space is divided 32 times along the radius of the periapsis and the argument of the periapsis. The maximum depth of the Automatic Domain Splitting algorithm is 9 splits [3]. The first item contains a high-resolution mapping. The search space is divided 128 times along the radius of the periapsis and the argument of the periapsis. The maximum depth of the Automatic Domain Splitting algorithm is 10 splits [3]. The data set is associated to the following journal article: Article: Stable sets mapping with Taylor differential algebra with application to ballistic capture orbits around Mars Journal: Celestial Mechanics and Dynamical Astronomy Authors: Thomas Caleb (corresponding author: thomas.caleb@student.isae-supaero.fr), Gianmario Merisio, Pierluigi di Lizia, and Francesco Topputo DOI: 10.1007/s10569-022-10090-8 References [1] F. Topputo and E. Belbruno,'Earth–Mars transfers with ballistic capture', Celestial Mechanics and Dynamical Astronomy, Vol. 121, No. 4, 2015, pp. 329-346. DOI: 10.1007/s10569-015-9605-8 [2] Z.-F. Luo and F. Topputo, 'Analysis of ballistic capture in Sun–planet models', Advances in Space Research, Vol. 56, No. 6, 2015, pp. 1030-1041. DOI: 10.1016/j.asr.2015.05.042 [3] A. Wittig, P. Di Lizia, et al., Propagation of large uncertainty sets in orbital dynamics by automatic domain splitting', Celestial Mechanics and Dynamical Astronomy, Vol. 122, No. 3, 2015, pp. 239-261. DOI: 10.1007/s10569-015-9618-3