星系喷流视速度和射电光度logL5GHz的计算（7）

下面的方程(1)类似于标准宇宙学的方程。

β_v/c=r_sPme^-Z/2(1-e^-Z)/（206264.8×1yr.c）,或β_v/c=μl（1）

其中r_s=1.892×10²⁶m，pm是下表1第5列值,星系核两端每年喷射毫角秒。1yr地球的恒星年3.1558×10⁷s。c是光速,第8列betapp值是原表的视膨胀速度值,11列betappn值是方程（1）笫1个方程计算的视膨胀速度值,有整数值的是视超光速,仅小数的没有视超光速。方程（1）笫2个方程是标准宇宙学的方程，其中µ为表1中的pm值，l是标准宇宙学的距离，不是光滑函数。

β_v/c=r_sPme^-Z/2Г(z)/[206264.8×1yr.c],

（2）

方程（2）中r_sГ(z）为新引力宇宙度规测地线方程。比r=r_s(1-e^-z）值小，才能消除视超光速。标准宇宙学的FWR度规没有测地线方程，若标准宇宙学测地线方程正确,就没有视超光速，所以方程（1）出现视超光速，只有新引力宇宙度光子规测地线方程才能消除视超光速。读者可参考文献[1]，可以据下表1中4、5列值，用方程（2）可消除视超光速。

logL_5GHz=log[8πr_s²×5GHz×S_5GHz(chZ-1)]=37.65305213+log[S_5GHz(chz-1)] (3)

表1中的4 9列代入方程(3)计算出第10列。射电光度logL_5GHzW和可见光的光度相近。

从表VizieR（有224行值） http://cdsarc.u-strasbg.fr/viz-bin/VizieR-3?-source=J/other/ChJAA/8.385/table1&-out.max=1000%C4%EA&-out.form=HTML%B1%ED&-oc.form=sexa 随机复制5个值分析。

表1.视速度和5GHz的光度表,8列是方程（1）计算的速度。

Full	Name	Class	z	pm mas/yr	e_ (...)	betapp β_v/c	betappn β_v/c	S5GHz Jy	logL_5GHzW
1	0016+731	Qc	1.7810	0.220	0.050	15.800	7.2799	1.700	38.1957
2	0035+413	Q,B	1.3530	0.100	0.020	6.030	3.66551	1.100	37.7213
3	0055+300	G,B	0.0165	0.140	0.020	0.150	0.2203	0.590	33.5579
4	0059+581	Q	0.6430	1.200		41.500	40.0095	3.260	37.4966
5	0106+013	Qc	2.0170	0.200	0.050	15.400	6.1320	3.400	38.6355
6	0108+388	G	0.6700	0.100		3.570	3.3865	1.300	37.1343
7	0133+207	Ql	0.4250	0.240	0.050	5.810	6.5141	0.070	35.4604
8	0149+218	Q,C	1.3200	0.290	0.040	17.200	10.6501	1.100	37.6967
9	0153+744	Qc,C2	2.3380	0.020	0.040	1.660	0.5443
10	0153+744	Qc,C3	2.3380	0.080	0.220	6.660	2.1771	1.500	38.4553
11	0153+744	Qc,C4	2.3380	-0.120	0.220	-9.990	-3.2667
12	0202+149	Qc	0.8330	0.180	0.010	7.650	6.5043	2.700	37.6496
13	0208-512	Q	1.0030	0.600		29.400	22.3087	1.342	37.5185
14	0212+735	Qc,C2	2.3670	0.090	0.050	7.540	2.4214	3.200	38.7996
15	0212+735	Qc,C3	2.3670	0.070	0.190	5.860	1.8833
16	0212+735	Qc,C4	2.3670	-0.140	0.290	-11.700	-3.7666
17	0219+428	B,C4	0.4440	0.570	0.140	14.300	15.8693
18	0219+428	B,C3	0.4440	0.820	0.030	20.600	22.8296
19	0219+428	B,C2	0.4440	1.110	0.200	27.900	30.9034	0.780	36.5460
20	0234+285	Qc,B	1.2070	0.250	0.050	13.960	9.2911	3.400	38.0990
21	0235+164	B,C1	0.9400	0.510	0.140	23.800	18.8322	1.900	37.6088
22	0235+164	B,C2	0.9400	0.180	0.030	8.390	6.6466
23	0235+164	B,C3	0.9400	0.160	0.090	7.460	5.9081
24	0316+413	G	0.0170	0.540	0.120	0.580	0.8750	42.400	35.4403
25	0333+321	Qc,B	1.2630	0.180	0.010	10.400	6.6561	2.000	37.9128
26	0333+321	Qc,C	1.2630	0.200	0.020	11.500	7.3057
27	0336-019	Qc	0.8520	0.220	0.040	9.520	7.9885	3.000	37.7161
28	0415+379	G,D	0.0485	1.520	0.040	4.610	6.8097	5.170	35.4371
29	0420-022	Q	0.9150	0.035		1.600	1.2874	1.220	37.3913
30	0420-014	Q	0.9200	0.150		6.880	5.5221	4.400	37.9535
31	0430+052	G,A	0.0330	1.350		2.800	4.1793
32	0430+052	G,B	0.0330	2.530		5.250	7.8323
33	0430+052	G,C	0.0330	2.470		5.120	7.6465
34	0430+052	G,D	0.0330	2.660		5.510	8.2347	3.800	34.9689
35	0430+052	G,E	0.0330	2.540		5.270	7.8632
36	0440-003	B	0.8440	0.340	0.030	14.600	12.3213	1.320	37.3509
37	0454+844	B	0.1120	0.140	0.040	0.970	1.3599	1.100	35.4923
38	0458-020	Qc	2.2700	0.150	0.010	12.300	4.1915	3.300	38.7617
39	0528+134	Qc,C1	2.0700	0.150	0.030	11.700	4.5142	6.200	38.9262
40	0528+134	Qc,C2	2.0700	0.140	0.030	10.900	4.2133
41	0528+134	Qc,C3	2.0700	0.120	0.010	9.360	3.6114
42	0528+134	Qc,C4	2.0700	0.130	0.010	10.100	3.9123
43	0528+134	Qc,C5	2.0700	0.130	0.010	10.100	3.9123
44	0552+398	Qp	2.3650	0.040	0.020	3.350	1.0770	4.900	38.9836
45	0615+820	Qc	0.7100	0.050	0.050	1.870	1.7279	1.000	37.0727
46	0637-752	Q	0.6510	0.073		2.550	2.44456	3.050	37.4788
47	0710+439	G	0.5180	0.003	0.008	0.090	0.0909	1.600	36.9945
48	0716+714	B,C2	0.3000	1.100	0.150	19.400	23.7913
49	0716+714	B,C3	0.3000	1.200	0.200	21.200	25.9542	0.930	36.2780
50	0716+714	B,C4	0.3000	0.900		15.900	19.4656
51	0723+679	Ql	0.8460	0.190		8.180	6.8889	0.320	36.7377
52	0735+178	B,C0	0.4240	0.440	0.030	10.600	11.9256	2.200	36.9557
53	0736+017	Q,B	0.1910	0.960	0.040	11.100	14.7089	1.800	36.1707
54	0736+017	Q,D	0.1910	0.390	0.060	4.510	5.9755
55	0736+017	Q,E	0.1910	0.860	0.090	9.940	13.1767
56	0738+313	Q,B	0.6300	0.070	0.010	2.380	1.8569	3.400	37.4965
57	0745+241	Q,C	0.4090	0.330	0.040	7.720	8.7539	1.200	36.6607
58	0748+126	Q,B	0.8890	0.120	0.010	5.360	4.3931	1.900	37.5570
59	0754+100	B,B	0.2660	0.760	0.130	12.000	15.0667	0.900	36.1586
60	0814+425	B,B	0.2450	0.180	0.020	2.630	3.3550	1.900	36.4113
61	0823+033	B,C	0.5060	0.480	0.040	13.500	14.3492	1.900	37.0483
62	0823+033	B,D	0.5060	0.310	0.050	8.740	9.2671
63	0827+243	Q,C2	0.9390	0.510	0.090	23.800	18.8295	0.670	37.1551
64	0827+243	Q,C3	0.9390	0.380	0.070	17.700	14.0298
65	0827+243	Q,C4	0.9390	0.240	0.150	11.200	8.8609
66	0827+243	Q,C5	0.9390	0.240	0.160	11.200	8.8609
67	0827+243	Q,C6	0.9390	0.060	0.070	2.800	2.2152
68	0828+493	B	0.5480	0.340		10.300	10.5743	0.665	36.6632
69	0829+046	B,C1	0.1800	1.400	0.200	15.300	20.4352
70	0829+046	B,C2	0.1800	0.820	0.210	8.950	11.9692
71	0829+046	B,C3	0.1800	0.700	0.100	7.640	10.2176
72	0829+046	B,C4	0.1800	0.370	0.020	4.040	5.4007
73	0833+654	Ql	1.1120	-0.020		-1.050	-0.7463	0.023	35.8503
74	0835+580	Ql	1.5340	-0.010		-0.650	0.3532	0.023	36.1690
75	0836+710	Ql,B	2.1720	0.230	0.050	18.400	6.6697	2.400	38.5704
76	0836+710	Qc,D	2.1720	0.140	0.050	11.200	4.0598
77	0839+616	Ql	0.8620	0.000	0.030	0.000	0.0000	0.034	35.7812
78	0850+581	Ql	1.3220	0.120	0.020	7.130	4.4057	1.200	37.7360
79	0851+202	B,K1	0.3060	0.200	0.030	3.590	4.3665
80	0851+202	B,K2	0.3060	0.270	0.030	4.850	5.9217	1.200	36.4060
81	0906+430	Qcl,A	0.6700	0.013		0.460	0.44025
82	0906+430	Qcl,B	0.6700	0.180	0.030	6.430	6.0958	0.920	36.9841
83	0917+449	B,B	2.1800	0.150	0.020	12.040	4.3369	1.200	38.2738
84	0923+392	Q,B	0.6980	0.180	0.010	6.650	6.1850	11.200	38.1065
85	0923+392	Q,D	0.6980	0.022		0.810	0.7559
86	0953+254	Q,C	0.7120	0.100		3.750	3.4591	1.300	37.1892
87	1012+232	Q,B	0.5650	0.270	0.020	8.370	8.5185	1.100	36.9090
88	1015+359	Q,B	1.2260	0.210	0.040	11.900	7.7929
89	1038+528	Q,C1	0.6780	0.140		5.050	4.7617	0.700	36.8762
90	1038+528	Q,C2	2.2960	0.180		14.800	4.9796
91	1039+811	Qc	1.2600	0.070		4.030	2.5893	1.100	37.6509
92	1040+123	Qcl	1.0280	0.110	0.050	5.480	4.0969	0.860	37.3484
93	1055+018	Q,C2	0.8880	0.190	0.050	8.490	6.9543	4.100	37.8900
94	1101+384	B	0.0310	1.330	0.020	2.590	3.8756
95	1127-145	Qp,C1	1.1870	0.520	0.160	28.700	19.3515	0.780	37.4434
96	1127-145	Qp,C2	1.1870	0.270	0.050	14.900	10.0479
97	1137+660	Ql	0.6460	0.060	0.020	2.080	2.0041	0.130	36.1015
98	1144+35	B,C1	0.0630	0.490	0.018	1.930	2.8107	0.670	34.7769
99	1144+35	B,C2	0.0630	0.460	0.018	1.810	2.3686
100	1150+812	Qc	1.2500	0.110	0.050	6.290	4.0730	1.400	37.7478
101	1156+295	Q,C1	0.7300	0.390	0.100	14.900	14.1544	1.800	37.3531
102	1156+295	Q,C2	0.7300	0.230	0.050	8.810	8.3475
103	1156+295	Q,C3	0.7300	0.240	0.040	9.190	8.7104
104	1156+295	Q,C4	0.7300	0.150	0.050	5.750	5.4440
105	1219+285	B,C9	0.1020	0.130		0.820	1.1614
106	1219+285	B,C3+C8	0.1020	0.320	0.050	2.020	2.8589	0.910	35.3286
107	1219+285	B,C7	0.1020	0.600		3.780	5.3605
108	1219+285	B,C2+C6	0.1020	0.470	0.010	2.960	4.1991
109	1219+285	B,C1+C5	0.1020	0.500	0.070	3.150	4.4671
110	1222+216	Ql	0.4350	0.090	0.040	2.220	2.4763	1.400	36.7820
111	1226+023	Qc,C2	0.1580	1.150	0.150	11.100	15.0575
112	1226+023	Qc,C3	0.1580	0.790	0.030	7.610	10.3439	43.600	37.3897
113	1226+023	Qc,C4	0.1580	0.990	0.240	9.540	12.9626
114	1226+023	Qc,C5	0.1580	1.200	0.030	11.560	15.7122
115	1226+023	Qc,C6	0.1580	0.650	0.090	6.260	8.5108
116	1226+023	Qc,C7	0.1580	0.760	0.050	7.320	9.9511
117	1226+023	Qc,C8	0.1580	0.920	0.110	8.860	12.0460
118	1226+023	Qc,C8	0.1580	0.820	0.120	7.900	10.7367
119	1228+127	G	0.0030	1.100	0.300	0.220	0.3190	0.860	32.2408
120	1253-055	Qc	0.5380	0.500	0.100	14.900	7.2288	13.000	37.9380
121	1253-055	Qc,C3	0.5380	0.120	0.020	3.570	3.6992
122	1308+326	B,K1	0.9960	0.130		6.630	4.8308
123	1308+326	B,K2	0.9960	0.750		36.500	27.8698	3.600	37.9405
124	1308+326	B,K3	0.9960	0.290		14.100	10.7763
125	1322-427	G	0.0008	40.800		0.200	3.1620	0.860	31.0927
126	1334-127	Q	0.5390	0.210		6.250	6.4794	4.400	37.4691
127	1345+125	G,C	0.1210	0.160	0.010	1.190	1.6641	3.100	36.0095
128	1345+125	G,E	0.1210	0.040	0.010	0.298	0.4160
129	1406-076	Q,C1	1.4900	0.220	0.190	14.100	7.8439
130	1406-076	Q,C2	1.4900	0.400	0.090	25.700	14.2616	15.100	38.9563
131	1406-076	Q,C3	1.4900	0.320	0.130	20.500	11.4093
132	1406-076	Q,C4	1.4900	0.230	0.030	14.770	8.2004
133	1418+546	B	0.1520	0.660		6.130	8.3629	1.700	35.9470
134	1458+718	Qc	0.9050	0.250	0.150	11.330	9.1799	2.680	37.7229
135	1458+718	Qc,B	0.9050	0.000	0.030	0.000	0.0000
136	1502+106	Q,J2	1.8330	0.640	0.160	46.600	20.8463	1.800	38.2520
137	1502+106	Q,J3	1.8330	0.380	0.260	27.680	12.3775
138	1502+106	Q,J4	1.8330	0.180	0.040	13.100	5.8630
139	1502+106	Q,J5	1.8330	0.480	0.120	34.970	15.6347
140	1504-166	Q	0.8760	0.055		2.430	2.0081	2.800	37.7118
141	1510-089	Q,C1	0.3610	0.510	0.040	10.660	12.5089
142	1510-089	Q,D1	0.3610	0.280	0.140	5.850	6.8676
143	1510-089	Q,D2	0.3610	0.630	0.100	13.170	15.4522	3.300	36.9903
144	1532+016	Q,B	1.4200	0.210	0.010	13.070	7.5905	1.300	37.8423
145	1548+056	Q,B	1.4220	0.120	0.010	7.480	4.3358	3.300	38.2483
146	1606+106	Q	1.2300	0.093		5.260	3.4499	1.700	37.8164
147	1607+268	Qp	0.4730	0.000	0.025	0.000	0.0000	1.510	36.8888
148	1611+343	B,C5	1.4010	0.200	0.020	12.340	7.2534	4.000	38.3169
149	1611+343	B,C3	1.4010	0.070	0.009	4.320	2.5387
150	1611+343	B,C2	1.4010	0.134	0.015	8.270	4.8598
151	1618+177	Ql	0.5550	0.100	0.030	3.050	3.1289	0.140	35.9979
152	1622-253	Q	0.7860	0.510	0.130	20.700	18.1688	3.500	37.7092
153	1622-297	Q,B2+D2	0.8150	0.140	0.030	5.850	5.0333
154	1622-297	Q,B1+D1	0.8150	0.340	0.040	14.210	12.2238
155	1622-297	Q,E1	0.8150	0.330	0.060	13.800	11.8643
156	1622-297	Q,F2	0.8150	0.300	0.030	12.500	10.7857
157	1622-297	Q,F1	0.8150	0.400	0.290	16.700	14.3809	2.400	37.5785
158	1633+382	Q,B3	1.8140	0.140	0.030	10.100	4.5868
159	1633+382	Q,B1	1.8140	0.200	0.020	14.500	6.5526	3.200	38.4904
160	1637+826	G	0.0230	0.050	0.070	0.070	0.1090	0.800	33.9786
161	1641+399	Qc,C2	0.5940	0.470	0.020	15.200	15.1651	8.400	37.8366
162	1641+399	Qc,C3	0.5940	0.300	0.010	9.700	9.6799
163	1641+399	Qc,C4	0.5940	0.310	0.010	10.020	10.0025
164	1641+399	Qc,C5	0.5940	0.230	0.030	7.440	7.4212
165	1642+690	Qc	0.7510	0.340	0.040	13.300	11.9588	1.500	37.2997
166	1652+398	B	0.0340	0.960	0.100	2.050	3.0589	1.400	34.5611
167	1655+077	Q,B	0.6210	0.430	0.030	14.400	14.1379	1.600	37.1562
168	1655+077	Q,C	0.6210	0.140	0.020	4.700	4.6030
169	1721+343	Ql,B	0.2060	0.160	0.050	1.990	2.6053
170	1721+343	Ql,C	0.2060	0.280	0.030	3.480	4.5593	0.470	35.6534
171	1730-130	Q,B2	0.9000	0.230	0.020	10.400	8.4378
172	1730-130	Q,B1	0.9000	0.280	0.100	12.600	10.2721	7.000	38.1347
173	1749+096	B	0.3220	1.000		18.800	22.7224	2.300	36.7332
174	1749+701	B	0.7700	0.260	0.030	10.400	9.2108	1.020	37.1550
175	1800+440	Q,B	0.6630	0.490	0.040	17.400	16.5296	1.100	37.0523
176	1803+784	B	0.6840	0.004	0.030	0.150	0.1365	2.600	37.4540
177	1823+568	B	0.6640	0.120		4.260	4.0943	1.500	37.1883
178	1828+487	Qc,A	0.6910	0.380	0.025	13.900	13.0118	6.590	37.8671
179	1828+487	Qc,B	0.6910	0.230	0.040	8.430	7.8755
180	1830+285	Ql,B	0.5940	0.130	0.040	4.200	4.1946	1.500	37.0884
181	1830+285	Ql,C	0.5940	0.130	0.040	4.200	4.1946
182	1845+797	G,B	0.0570	0.550	0.030	1.960	2.8715
183	1845+797	G,C	0.0570	0.610	0.020	2.170	3.1847	4.410	35.5083
184	1901+319	Qc,C2	0.6350	0.000	0.030	0.000	0.0000
185	1901+319	Qc,C3	0.6350	0.640	0.100	21.900	21.3396	1.900	37.2509
186	1908-201	B,C2	0.2000	1.200	0.100	14.500	19.0828	2.300	36.3173
187	1928+738	Qc,A1	0.3020	0.320	0.100	5.680	6.9537
188	1928+738	Qc,B	0.3020	0.370	0.050	6.570	8.0402
189	1928+738	Qc,C	0.3020	0.340	0.030	6.040	7.3883
190	1928+738	Qc,C2	0.3020	0.510	0.100	9.060	11.0824
191	1928+738	Qc,C3	0.3020	0.570	0.050	10.100	12.3863	3.600	36.8716
192	1928+738	Qc,C4	0.3020	0.400	0.050	7.100	8.6921
193	1928+738	Qc,C6	0.3020	0.400	0.100	7.100	8.6921
194	1928+738	Qc,C7	0.3020	0.600	0.100	10.660	13.0382
195	1928+738	Qc,C9	0.3020	0.310	0.550	5.510	6.7364
196	1934-638	Qp	0.1830	0.010	0.030	0.110	0.1480	6.000	36.6563
197	1951+498	Ql	0.4660	0.070		1.840	2.0026	0.090	35.6509
198	1957+405	G,D	0.0560	0.180	0.020	0.630	0.9241
199	1957+405	G,E	0.0560	0.190	0.030	0.660	0.9755
200	1957+405	G,F	0.0560	0.220	0.030	0.770	1.1296	0.740	34.7177
201	1957+405	G,G	0.0560	0.160	0.030	0.560	0.8215
202	2005+403	Q,B	1.7360	0.200	0.030	14.100	6.7056	7.400	38.8068
203	2007+777	B	0.3420	0.180	0.040	3.580	4.2604	1.700	36.6548
204	2021+614	Qp	0.2270	0.022	0.022	0.300	0.3867	3.000	36.5431
205	2113+293	Q,B	1.5140	0.040	0.010	2.590	1.4189	1.200	37.8729
206	2145+067	Q,C	0.9990	0.030	0.010	1.460	1.1274	6.400	38.1932
207	2200+420	B,S1	0.0690	1.200	0.100	5.160	7.4940	5.600	35.7781
208	2200+420	B,S2	0.0690	1.100	0.100	4.730	6.8695
209	2200+420	B,S3	0.0690	1.100	0.100	4.730	6.8695
210	2200+420	B,S5	0.0690	1.000	0.100	4.300	6.2450
211	2201+315	Q,B	0.2980	0.340	0.030	5.960	7.3189	2.900	36.7661
212	2223-052	Q,B	1.4040	0.500	0.080	30.900	18.1241
213	2223-052	Q,C	1.4040	0.310	0.030	19.200	11.2369	6.400	38.5231
214	2230+114	Qp	1.0370	0.330	0.010	16.500	12.2965
215	2230+114	Qp	1.0370	0.340	0.040	17.050	12.6692	1.460	37.5865
216	2230+114	Qp	1.0370	0.250	0.010	12.500	9.3156
217	2243-123	Qc	0.6300	0.190		6.450	6.2837	2.700	37.3964
218	2251+158	Qp,C2	0.8590	0.045	0.016	1.970	1.6368
219	2251+158	Qp,C3	0.8590	-0.046	0.072	-2.000	-1.6731
220	2251+158	Qp,C4	0.8590	0.350	0.060	15.200	12.7303	16.000	38.4507
221	2251+158	Qp,C5	0.8590	0.210	0.050	9.140	7.6382
222	2345-167	Q	0.5760	0.080	0.030	2.520	2.5463	2.030	37.1923
223	2352+495	Qc,A	0.2370	0.030		0.425	0.5452	1.600	36.3077
224	2352+495	Qc,B2	0.2370	0.030		0.425	0.5452

[1].黄洵. 新引力宇宙度规在星系光度和星系团的验证[J]. Validation of New Gravity Universal Metric in Galaxy Luminosity and Galaxy Groups and Clusters天文与天体物理, 2016, 4(4): 69-80. http://dx.doi.org/10.12677/AAS.2016.44008

星系喷流视速度和射电光度logL5GHz的计算（7）

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