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4. INITIAL DATABASE ON QUASARS AND TRANSFORMATION OF COORDINATES


The database on 23760 quasars was used for our investigation, in which two angular coordinates (Q, j) and redshift of radiation spectrum (z) for each quasar are presented [41]. The fragment of an initial database is presented in Tab. 1.

Distance to each quasar in accordance with redshift was determined by formula

(1)

where is the constant typical for the Universe approximately equal in m (see item 3). is assigned for calculating of distances up to quasars and for build-up of figures.

The formula (1) is derived out of the distribution law of light at a large distance

(2)

It is the very important formula. We presented two derivation of this formula in [42] (Appendix III and Appendix IV).

Calculation of quasars coordinates in spatial spherical coordinates is carried out by the formulas (in radians; the corner is measured from North Pole)

(3)
(4)

where

Table 1: Fragment of the initial database
No. RAJ2000
"h:m:s"
DEJ2000
"d:m:s"
z
1 00 00 01.3 -02 02 00 1.356
2 00 00 02.8 -35 03 33 0.508
3 00 00 05.6 -27 25 10 1.930
4 00 00 09.9 -30 55 30 1.787
5 00 00 10.2 -31 59 50 1.638
6 00 00 12.0 +00 02 24 0.479
7 00 00 12.9 -02 10 25 1.450
8 00 00 16.3 -31 44 38 1.452
9 00 00 17.4 -08 51 23 1.250
10 00 00 20.2 -32 21 01 1.275
11 00 00 22.9 -02 27 15 0.590
12 00 00 23.7 +02 12 41 0.810
13 00 00 24.4 -12 45 48 0.200
14 00 00 24.8 -30 50 49 1.465
15 00 00 36.0 -31 19 25 2.013
... ... ... ...
23760 23 59 59.3 +08 33 54 0.084
The complete database can be found here:
http://cdsweb.u-strasbg.fr/cgi-bin/cat?VII/215 (for date of June 29, 2001), or http://vizier.u-strasbg.fr/viz-bin/cat?VII/224
(5)

Calculation of quasars coordinates in spatial cartesian coordinates is carried out by the formulas (in )

(6)
(7)
(8)

In further, the database was sorted for spherical coordinates by increment of distance up to quasars and for cartesian coordinates by increment of coordinate Z (for convenience of investigations).

The archives with the calculated databases can be downloaded here: for spherical coordinates q-sphera.zip (370 kb), for cartesian coordinates q-decart.zip (425 kb).

The preliminary investigations have shown that the observed quasars locate on the coelosphere non-uniformly. Especially it concerns those places where North Pole, South Pole and the oceans are located (Fig. 1).

Figure 1: Allocation of discovered quasars on the coelosphere

It is interlinked not to nonuniformity of quasars allocation in the Universe, and with nonuniformity of presence on a surface of the Earth of observation instrument behind them.

From here is stream the features in investigation of conformitys this allocation. For the analysis it is necessary to choose the most explored sites of the sky.


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