| Rhombic Cell Analysis - A New Way of Probing the Large- Scale Structure of the Universe. I.General Considerations |
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| 作者姓名： | T.Kiang |
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| 作者单位： | Dunsink Observatory，Dublin 15，Ireland |
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| 摘 要： | A new way of probing the harge-scale structure of the universe is proposed.Space is partitioned into cells the shape of rhombic dodecahedron.The cells are labelled “filled“ or “empty“ according as they contain galaxies or not ,the cell size is so chosen as to have narly equal numbers of filled and empty cells for the given galaxy sample.Two observables on each cell are definable:the number of ist like neighbors,n1,and a two-suffixed topological type τ,the suffixes being the numbers of its like and unlike neighbor-groups.The frequency distributions of n1 and τ in the observed set of filled(empty)cells are then considered as indicators of the morphology of the set,The method is applied to the CfA catalogue of galaxies as an illustration.Despite its limited size,the data offers evidence 1) that the empty cells are more stongly clustered than the filled cells,and 2) theat the filled cells,but not the empty cells,have a tendency to occur in sheets,Further directions of development both in theory and application are indicated.
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| 关 键 词： | 宇宙学 正交分析 形态学 宇宙观测 银河系 |
Rhombic Cell Analysis - A New Way of Probing the Large-Scale Structure of the Universe. I. General Considerations |
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| T.Kiang.Rhombic Cell Analysis - A New Way of Probing the Large- Scale Structure of the Universe. I.General Considerations[J].Chinese Journal of Astronomy and Astrophysics,2003,3(2):95-104. |
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| Authors: | TKiang |
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| Institution: | DunsinkObservatory,Dublin15,Ireland;tkiang |
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| Abstract: | A new way of probing the large-scale structure of the universe is pro-posed. Space is partitioned into ceils the shape of rhombic dodecahedron. The cellsare labelled "filled" or "empty" according as they contain galaxies or not. The cellsize is so chosen as to have nearly equal numbers of filled and empty cells for thegiven galaxy sample. Two observables on each cell are definable: the number ofits like neighbors, n1, and a two-suffixed topological type τ, the suffixes being thenumbers of its like and unlike neighbor-groups. The frequency distributions of n1and τ in the observed set of filled (empty) cells are then considered as indicators ofthe morphology of the set. The method is applied to the CfA catalogue of galax-ies as an illustration. Despite its limited size, the data offers evidence 1) that theempty cells are more strongly clustered than the filled cells, and 2) that the filledcells, but not the empty cells, have a tendency to occur in sheets. Further directionsof development both in theory and application are indicated. |
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| Keywords: | cosmology: large-scale structure of Universe - cosmology: observations - CfA Catalogue |
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