{"paper":{"title":"The Sigma - D relation for planetary nebulae","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"B. Arbutina, B. Vukoti\\'c, D. Ili\\'c, D. Uro\\v{s}evi\\'c, I. Boji\\v{c}i\\'c, M. Filipovi\\'c, S. Vidojevi\\'c, S. \\v{S}egan","submitted_at":"2009-01-15T19:34:14Z","abstract_excerpt":"We present an extended analysis of the relation between radio surface brightness and diameter -- the so-called $\\Sigma-D$ relation for planetary nebulae (PNe). We revise our previous derivation of the theoretical $\\Sigma-D$ relation for the evolution of bremsstrahlung surface brightness in order to include the influence of the fast wind from the central star. Different theoretical forms are derived: $\\Sigma \\propto D^{-1}$ for the first and second phases of evolution and $\\Sigma\\propto D^{-3}$ for the final stage of evolution. Also, we analyzed several different Galactic PN samples. All sample"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.2334","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0901.2334/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}