S-star orbits around Sgr A* — Vanyx universe data pack s-stars-bf4d144685f4-v1 Built by universe/tools/build-s-stars.py from pinned originals; manifest.json lists every file, URL, retrieval time and SHA-256. Gillessen et al. (2017): An Update on Monitoring Stellar Orbits in the Galactic Center (ApJ 837, 30); VizieR J/ApJ/837/30 Licence: VizieR rules of usage: AAS-journal tabular data (J/ApJ) are under a CC BY-NC licence (the page links CC BY-NC-ND 4.0); the article is © AAS (Crossref licence: IOP copyright page); the arXiv e-print is under the arXiv non-exclusive distribution licence. Only factual values are used, with citation. Status: unconfirmed (https://cds.unistra.fr/vizier-org/licences_vizier.html) Cite: Gillessen, S., Plewa, P. M., Eisenhauer, F. et al. 2017, ApJ, 837, 30 (2017ApJ...837...30G; doi:10.3847/1538-4357/aa5c41) Cite: This research has made use of the VizieR catalogue access tool, CDS, Strasbourg, France (DOI: 10.26093/cds/vizier) Note: Non-commercial terms may apply to the redistributed table values (orbits, K magnitudes, observations); confirm with the AAS before any commercial use. GRAVITY Collaboration (2020): Detection of the Schwarzschild precession in the orbit of the star S2 (A&A 636, L5) Licence: Published article: CC BY 4.0 (Crossref licence of the version of record); arXiv e-print: arXiv non-exclusive distribution licence. Values taken from Table E.1, with citation. Status: cc-by-4.0 (https://creativecommons.org/licenses/by/4.0/) Cite: GRAVITY Collaboration, Abuter, R., Amorim, A. et al. 2020, A&A, 636, L5 (2020A&A...636L...5G; doi:10.1051/0004-6361/202037813) GRAVITY Collaboration (2022): Mass distribution in the Galactic Center based on interferometric astrometry of multiple stellar orbits (A&A 657, L12) Licence: CC BY 4.0 (arXiv e-print licence and Crossref licence of the version of record). Values taken from Table B.1 and the text, with citation. Status: cc-by-4.0 (https://creativecommons.org/licenses/by/4.0/) Cite: GRAVITY Collaboration, Abuter, R., Aimar, N. et al. 2022, A&A, 657, L12 (2022A&A...657L..12G; doi:10.1051/0004-6361/202142465) Habibi et al. (2017): Twelve Years of Spectroscopic Monitoring in the Galactic Center: The Closest Look at S-stars near the Black Hole (ApJ 847, 120) Licence: Article © AAS (Crossref licence: IOP copyright page); arXiv e-print under the arXiv non-exclusive distribution licence. Only factual values from Table 2 and one quoted sentence are used, with citation. Status: unconfirmed (https://arxiv.org/licenses/nonexclusive-distrib/1.0/license.html) Cite: Habibi, M., Gillessen, S., Martins, F. et al. 2017, ApJ, 847, 120 (2017ApJ...847..120H; doi:10.3847/1538-4357/aa876f) SIMBAD (CDS): ICRS position of Sgr A* (Petrov et al. 2011, 2011AJ....142...35P), as installed in the engine's compact-objects pack Licence: ODbL 1.0, as recorded by the compact-objects pack ("Use of SIMBAD service is free without any registration under ODbL licence"). One position (with its error) is used; the mass and R0 beside it are GRAVITY 2022 values. Status: open-share-alike (https://opendatacommons.org/licenses/odbl/1-0/) Cite: This research has made use of the SIMBAD database, operated at CDS, Strasbourg, France (Wenger et al. 2000, A&AS, 143, 9) Centre (Sgr A*): bh:sgr-a-star from the engine pack compact-objects-e6458b63fa94-v1; see its ATTRIBUTION.txt. Caveats: - TABLES: the CC BY 4.0 gravity table holds the GRAVITY orbits of 4 stars; the other 36 orbits, the spectral classes, most K magnitudes, the stellar parameters and the data points are in licence-unconfirmed tables a public host may withhold (tools/release-files.mjs licence holds). Without them the engine shows those four stars, with labelled assumed sizes and temperatures. - LICENCE: the Gillessen et al. (2017) table values (36 of the 40 preferred orbits, the alternative orbits of the other stars, most K magnitudes and every observation row) come from VizieR J/ApJ/837/30; VizieR lists AAS-journal tables under a non-commercial (CC BY-NC) licence. Status unconfirmed: confirm before any commercial use. - LICENCE: Habibi et al. (2017) stellar parameters (7 stars) are factual values from an AAS article (© AAS); status unconfirmed. - Each orbit keeps the mass and distance (R0) of its own solution: physical sizes are a·R0 with that R0, and the derived relativistic numbers use that mass. The engine centres every orbit on its Sgr A* (GRAVITY 2022: 8,277 pc, 4.297 × 10⁶ M☉), so Gillessen et al. (2017) orbits (R0 = 8.33 kpc) appear 0.6% larger on the sky from Earth than published, well within their R0 uncertainty. - Gillessen et al. (2017) Table 3: a³/T² implies a central mass about 2% above the stated row 3 potential (see solutions[].consistency). The pack keeps a and T as published and propagates with T; each orbit's implied mass is reported, not hidden. - Kepler propagation of osculating elements: the GRAVITY elements describe the orbit at their conversion epochs. The optional Schwarzschild precession (GR, f_SP = 1) advances the pericentre uniformly in orbital angle by 6πGM/(c²a(1−e²)) per orbit (12′ for S2), zero at each orbit's conversion epoch; Newtonian perturbations by other stars and any extended mass are not modelled. - Phase knowledge decays away from the data epochs: the formal mean-anomaly uncertainty grows with |t − t_peri|·σ_P/P. GRAVITY 2022 periods are derived from a, M and R0 with uncorrelated errors, which overstates their uncertainty. - Stellar parameters (T_eff, radius, mass) are published for 7 of the 40 stars (Habibi et al. 2017); the others use the labelled assumptions (assumptions.earlyType / lateType). Display brightness is a model: K − A_K with a Planck colour, never a measured visual magnitude. - S111 has a formally hyperbolic orbit (a < 0, e = 1.092 ± 0.064) and no period; its time dependence uses the stated row 3 potential. - Lensing: the engine's Schwarzschild pass treats lensed sources as being at infinity; S-stars are at finite distance behind the hole, so their lensed images are approximate.