Resources | Aerodynamics for Students

Normal Shock Wave, Mach Wave and Expansion Wave Table

Pressure, Mach number and temperature changes through normal shock waves. Prandtl-Meyer angle and Mach angle for expanding flows. ( γ = 7/5)

Notation :

M₁=Mach number of stream flow
M₂=Mach number of flow after passing through normal shock wave
ν=Prandtl-Meyer angle, (deg), for expanding flow from M=1 to M₁
μ=Mach angle, (deg), (sin^-1(1/M₁)) of minimal oblique wave for M₁
P₂/P₁=Static pressure ratio across normal shock wave
ρ₂/ρ₁=Density ratio across normal shock wave
T₂/T₁=Temperature ratio across normal shock wave
P₀₂/P₀₁=Stagnation pressure ratio across normal shock wave

M₁	ν	μ	M₂	P₂/P₁	ρ₂/ρ₁	T₂/T₁	P₀₂/P₀₁
1.00	0.000	90.000	1.0000	1.000	1.0000	1.0000	1.0000
1.01	0.045	81.931	0.9901	1.023	1.0167	1.0066	1.0000
1.02	0.126	78.635	0.9805	1.047	1.0334	1.0132	1.0000
1.03	0.229	76.138	0.9712	1.071	1.0502	1.0198	1.0000
1.04	0.351	74.058	0.9620	1.095	1.0671	1.0263	0.9999
1.05	0.487	72.247	0.9531	1.120	1.0840	1.0328	0.9999
1.06	0.637	70.630	0.9444	1.144	1.1009	1.0393	0.9998
1.07	0.797	69.160	0.9360	1.169	1.1179	1.0458	0.9996
1.08	0.968	67.808	0.9277	1.194	1.1349	1.0522	0.9994
1.09	1.148	66.553	0.9196	1.219	1.1520	1.0586	0.9992
1.10	1.336	65.380	0.9118	1.245	1.1691	1.0649	0.9989
1.11	1.532	64.277	0.9041	1.271	1.1862	1.0713	0.9986
1.12	1.735	63.234	0.8966	1.297	1.2034	1.0776	0.9982
1.13	1.944	62.246	0.8892	1.323	1.2206	1.0840	0.9978
1.14	2.160	61.306	0.8820	1.350	1.2378	1.0903	0.9973
1.15	2.381	60.408	0.8750	1.376	1.2550	1.0966	0.9967
1.16	2.607	59.550	0.8682	1.403	1.2723	1.1029	0.9961
1.17	2.839	58.727	0.8615	1.430	1.2896	1.1092	0.9953
1.18	3.074	57.936	0.8549	1.458	1.3069	1.1154	0.9946
1.19	3.314	57.176	0.8485	1.485	1.3243	1.1217	0.9937
1.20	3.558	56.443	0.8422	1.513	1.3416	1.1280	0.9928
1.21	3.806	55.735	0.8360	1.541	1.3590	1.1343	0.9918
1.22	4.057	55.052	0.8300	1.570	1.3764	1.1405	0.9907
1.23	4.312	54.391	0.8241	1.598	1.3938	1.1468	0.9896
1.24	4.569	53.751	0.8183	1.627	1.4112	1.1531	0.9884
1.25	4.830	53.130	0.8126	1.656	1.4286	1.1594	0.9871
1.26	5.093	52.528	0.8071	1.686	1.4460	1.1657	0.9857
1.27	5.359	51.943	0.8016	1.715	1.4634	1.1720	0.9842
1.28	5.627	51.375	0.7963	1.745	1.4808	1.1783	0.9827
1.29	5.898	50.823	0.7911	1.775	1.4983	1.1846	0.9811
1.30	6.170	50.285	0.7860	1.805	1.5157	1.1909	0.9794
1.31	6.445	49.761	0.7809	1.835	1.5331	1.1972	0.9776
1.32	6.721	49.251	0.7760	1.866	1.5505	1.2035	0.9758
1.33	7.000	48.753	0.7712	1.897	1.5680	1.2099	0.9738
1.34	7.279	48.268	0.7664	1.928	1.5854	1.2162	0.9718
1.35	7.561	47.795	0.7618	1.960	1.6028	1.2226	0.9697
1.36	7.844	47.332	0.7572	1.991	1.6202	1.2290	0.9676
1.37	8.128	46.880	0.7527	2.023	1.6376	1.2354	0.9653
1.38	8.413	46.439	0.7483	2.055	1.6549	1.2418	0.9630
1.39	8.699	46.007	0.7440	2.087	1.6723	1.2482	0.9607
1.40	8.987	45.585	0.7397	2.120	1.6897	1.2547	0.9582
1.41	9.276	45.171	0.7355	2.153	1.7070	1.2612	0.9557
1.42	9.565	44.767	0.7314	2.186	1.7243	1.2676	0.9531
1.43	9.855	44.371	0.7274	2.219	1.7416	1.2741	0.9504
1.44	10.146	43.983	0.7235	2.253	1.7589	1.2807	0.9473
1.45	10.438	43.603	0.7196	2.286	1.7761	1.2872	0.9448
1.46	10.731	43.230	0.7157	2.320	1.7934	1.2938	0.9420
1.47	11.023	42.865	0.7120	2.354	1.8106	1.3003	0.9390
1.48	11.317	42.507	0.7083	2.389	1.8278	1.3069	0.9360
1.49	11.611	42.155	0.7047	2.423	1.8449	1.3136	0.9329
1.50	11.905	41.810	0.7011	2.458	1.8621	1.3202	0.9298
1.51	12.200	41.472	0.6976	2.493	1.8792	1.3269	0.9266
1.52	12.495	41.140	0.6941	2.529	1.8963	1.3336	0.9233
1.53	12.790	40.813	0.6907	2.564	1.9133	1.3403	0.9200
1.54	13.086	40.493	0.6874	2.600	1.9303	1.3470	0.9166
1.55	13.381	40.178	0.6841	2.636	1.9473	1.3538	0.9132
1.56	13.677	39.868	0.6809	2.673	1.9643	1.3606	0.9097
1.57	13.973	39.564	0.6777	2.709	1.9812	1.3674	0.9062
1.58	14.269	39.265	0.6746	2.746	1.9981	1.3742	0.9026
1.59	14.565	38.971	0.6715	2.783	2.0149	1.3811	0.8989
1.60	14.860	38.682	0.6684	2.820	2.0317	1.3880	0.8952
1.61	15.156	38.398	0.6655	2.857	2.0485	1.3949	0.8915
1.62	15.452	38.118	0.6625	2.895	2.0653	1.4018	0.8877
1.63	15.747	37.843	0.6596	2.933	2.0820	1.4088	0.8838
1.64	16.043	37.572	0.6568	2.971	2.0986	1.4158	0.8799
1.65	16.338	37.305	0.6540	3.010	2.1152	1.4228	0.8760
1.66	16.633	37.043	0.6512	3.048	2.1318	1.4299	0.8720
1.67	16.928	36.784	0.6485	3.087	2.1484	1.4369	0.8680
1.68	17.222	36.530	0.6458	3.126	2.1649	1.4440	0.8639
1.69	17.516	36.279	0.6431	3.165	2.1813	1.4512	0.8599
1.70	17.810	36.032	0.6405	3.205	2.1977	1.4583	0.8557
1.71	18.103	35.789	0.6380	3.245	2.2141	1.4655	0.8516
1.72	18.396	35.549	0.6355	3.285	2.2304	1.4727	0.8474
1.73	18.689	35.312	0.6330	3.325	2.2467	1.4800	0.8431
1.74	18.981	35.080	0.6305	3.366	2.2629	1.4873	0.8389
1.75	19.273	34.850	0.6281	3.406	2.2791	1.4946	0.8346
1.76	19.565	34.624	0.6257	3.447	2.2952	1.5019	0.8302
1.77	19.855	34.400	0.6234	3.488	2.3113	1.5093	0.8259
1.78	20.146	34.180	0.6210	3.530	2.3273	1.5167	0.8215
1.79	20.436	33.963	0.6188	3.571	2.3433	1.5241	0.8171
1.80	20.725	33.749	0.6165	3.613	2.3592	1.5316	0.8127
1.81	21.014	33.538	0.6143	3.655	2.3751	1.5391	0.8082
1.82	21.302	33.329	0.6121	3.698	2.3909	1.5466	0.8038
1.83	21.590	33.124	0.6099	3.740	2.4067	1.5541	0.7993
1.84	21.877	32.921	0.6078	3.783	2.4224	1.5617	0.7948
1.85	22.163	32.720	0.6057	3.826	2.4381	1.5693	0.7902
1.86	22.449	32.523	0.6036	3.870	2.4537	1.5770	0.7857
1.87	22.734	32.328	0.6016	3.913	2.4693	1.5847	0.7811
1.88	23.019	32.135	0.5996	3.957	2.4848	1.5924	0.7765
1.89	23.303	31.945	0.5976	4.001	2.5003	1.6001	0.7720
1.90	23.586	31.757	0.5956	4.045	2.5157	1.6079	0.7674
1.91	23.869	31.571	0.5937	4.089	2.5310	1.6157	0.7627
1.92	24.151	31.388	0.5918	4.134	2.5463	1.6236	0.7581
1.93	24.432	31.207	0.5899	4.179	2.5616	1.6314	0.7535
1.94	24.712	31.028	0.5880	4.224	2.5767	1.6394	0.7488
1.95	24.992	30.852	0.5862	4.270	2.5919	1.6473	0.7442
1.96	25.271	30.677	0.5844	4.315	2.6069	1.6553	0.7395
1.97	25.549	30.505	0.5826	4.361	2.6220	1.6633	0.7349
1.98	25.827	30.335	0.5808	4.407	2.6369	1.6713	0.7302
1.99	26.104	30.166	0.5791	4.453	2.6518	1.6794	0.7255
2.00	26.380	30.000	0.5774	4.500	2.6667	1.6875	0.7209
2.01	26.655	29.836	0.5757	4.547	2.6815	1.6956	0.7162
2.02	26.930	29.673	0.5740	4.594	2.6962	1.7038	0.7115
2.03	27.203	29.512	0.5723	4.641	2.7109	1.7120	0.7069
2.04	27.476	29.353	0.5707	4.689	2.7255	1.7203	0.7022
2.05	27.748	29.196	0.5691	4.736	2.7400	1.7285	0.6975
2.06	28.020	29.041	0.5675	4.784	2.7545	1.7369	0.6928
2.07	28.290	28.888	0.5659	4.832	2.7689	1.7452	0.6882
2.08	28.560	28.736	0.5643	4.881	2.7833	1.7536	0.6835
2.09	28.829	28.585	0.5628	4.929	2.7976	1.7620	0.6789
2.10	29.097	28.437	0.5613	4.978	2.8119	1.7705	0.6742
2.11	29.364	28.290	0.5598	5.027	2.8261	1.7789	0.6696
2.12	29.631	28.145	0.5583	5.077	2.8402	1.7875	0.6649
2.13	29.896	28.001	0.5568	5.126	2.8543	1.7960	0.6603
2.14	30.161	27.859	0.5554	5.176	2.8683	1.8046	0.6557
2.15	30.425	27.718	0.5540	5.226	2.8823	1.8132	0.6511
2.16	30.688	27.578	0.5525	5.277	2.8962	1.8219	0.6464
2.17	30.951	27.441	0.5511	5.327	2.9101	1.8306	0.6419
2.18	31.212	27.304	0.5498	5.378	2.9238	1.8393	0.6373
2.19	31.473	27.169	0.5484	5.429	2.9376	1.8481	0.6327
2.20	21.732	27.036	0.5471	5.480	2.9512	1.8569	0.6281
2.21	31.991	26.903	0.5457	5.531	2.9648	1.8657	0.6236
2.22	32.249	26.773	0.5444	5.583	2.9784	1.8746	0.6191
2.23	32.507	26.643	0.5431	5.635	2.9918	1.8835	0.6145
2.24	32.763	26.515	0.5418	5.687	3.0053	1.8924	0.6100
2.25	33.018	26.388	0.5406	5.740	3.0186	1.9014	0.6055
2.26	33.273	26.262	0.5393	5.792	3.0319	1.9104	0.6011
2.27	33.527	26.138	0.5381	5.845	3.0452	1.9194	0.5966
2.28	33.780	26.014	0.5368	5.898	3.0584	1.9285	0.5921
2.29	34.032	25.892	0.5356	5.951	3.0715	1.9376	0.5877
2.30	34.283	25.771	0.5344	6.005	3.0845	1.9468	0.5833
2.31	34.533	25.652	0.5332	6.059	3.0976	1.9560	0.5789
2.32	34.782	25.533	0.5321	6.113	3.1105	1.9652	0.5745
2.33	35.031	25.416	0.5309	6.167	3.1234	1.9745	0.5702
2.34	35.279	25.300	0.5297	6.222	3.1362	1.9838	0.5658
2.35	35.526	25.184	0.5286	6.276	3.1490	1.9931	0.5615
2.36	35.771	25.070	0.5275	6.331	3.1617	2.0025	0.5572
2.37	36.017	24.957	0.5264	6.386	3.1743	2.0119	0.5529
2.38	36.261	24.845	0.5253	6.442	3.1869	2.0213	0.5486
2.39	36.504	24.734	0.5242	6.497	3.1994	2.0308	0.5444
2.40	36.747	24.624	0.5231	6.553	3.2119	2.0403	0.5401
2.41	36.988	24.515	0.5221	6.609	3.2243	2.0499	0.5359
2.42	37.229	24.407	0.5210	6.666	3.2367	2.0595	0.5317
2.43	37.469	24.301	0.5200	6.722	3.2489	2.0691	0.5276
2.44	37.708	24.195	0.5189	6.779	3.2612	2.0788	0.5234
2.45	37.946	24.090	0.5179	6.836	3.2733	2.0885	0.5193
2.46	38.183	23.985	0.5169	6.894	3.2855	2.0982	0.5152
2.47	38.420	23.882	0.5159	6.951	3.2975	2.1080	0.5111
2.48	38.655	23.780	0.5149	7.009	3.3095	2.1178	0.5071
2.49	38.890	23.679	0.5140	7.067	3.3215	2.1276	0.5030
2.50	39.124	23.578	0.5130	7.125	3.3333	2.1375	0.4990
2.51	39.357	23.479	0.5120	7.183	3.3452	2.1474	0.4950
2.52	39.589	23.380	0.5111	7.242	3.3569	2.1574	0.4911
2.53	39.820	23.282	0.5102	7.301	3.3686	2.1674	0.4871
2.54	40.050	23.185	0.5092	7.360	3.3803	2.1774	0.4832
2.55	40.280	23.089	0.5083	7.420	3.3919	2.1875	0.4793
2.56	40.508	22.993	0.5074	7.479	3.4034	2.1976	0.4754
2.57	40.736	22.899	0.5065	7.539	3.4149	2.2077	0.4715
2.58	40.963	22.805	0.5056	7.599	3.4263	2.2179	0.4677
2.59	41.189	22.712	0.5047	7.659	3.4377	2.2281	0.4639
2.60	41.415	22.620	0.5039	7.720	3.4490	2.2383	0.4601
2.61	41.639	22.528	0.5030	7.781	3.4602	2.2486	0.4564
2.62	41.863	22.438	0.5022	7.842	3.4714	2.2590	0.4526
2.63	42.086	22.348	0.5013	7.903	3.4826	2.2693	0.4489
2.64	42.307	22.259	0.5005	7.965	3.4937	2.2797	0.4452
2.65	42.529	22.170	0.4996	8.026	3.5047	2.2902	0.4416
2.66	42.749	22.082	0.4988	8.088	3.5157	2.3006	0.4379
2.67	42.968	21.995	0.4980	8.150	3.5266	2.3111	0.4343
2.68	43.187	21.909	0.4972	8.213	3.5374	2.3217	0.4307
2.69	43.405	21.823	0.4964	8.275	3.5482	2.3323	0.4271
2.70	43.621	21.738	0.4956	8.338	3.5590	2.3429	0.4236
2.71	43.838	21.654	0.4949	8.401	3.5697	2.3536	0.4201
2.72	44.053	21.571	0.4941	8.465	3.5803	2.3642	0.4166
2.73	44.267	21.488	0.4933	8.528	3.5909	2.3750	0.4131
2.74	44.481	21.405	0.4926	8.592	3.6015	2.3858	0.4097
2.75	44.694	21.324	0.4918	8.656	3.6119	2.3966	0.4062
2.76	44.906	21.243	0.4911	8.721	3.6224	2.4074	0.4028
2.77	45.117	21.162	0.4903	8.785	3.6327	2.4183	0.3994
2.78	45.327	21.083	0.4896	8.850	3.6431	2.4292	0.3961
2.79	45.537	21.003	0.4889	8.915	3.6533	2.4402	0.3928
2.80	45.746	20.925	0.4882	8.980	3.6636	2.4512	0.3895
2.81	45.954	20.847	0.4875	9.045	3.6737	2.4622	0.3862
2.82	46.161	20.770	0.4868	9.111	3.6838	2.4733	0.3829
2.83	46.368	20.693	0.4861	9.177	3.6939	2.4844	0.3797
2.84	46.573	20.617	0.4854	9.243	3.7039	2.4955	0.3765
2.85	46.778	20.541	0.4847	9.310	3.7139	2.5067	0.3733
2.86	46.982	20.466	0.4840	9.376	3.7238	2.5179	0.3701
2.87	47.185	20.391	0.4833	9.443	3.7336	2.5292	0.3670
2.88	47.388	20.318	0.4827	9.510	3.7434	2.5405	0.3639
2.89	47.589	20.244	0.4820	9.577	3.7532	2.5518	0.3608
2.90	47.790	20.171	0.4814	9.645	3.7629	2.5632	0.3577
2.91	47.990	20.099	0.4807	9.713	3.7725	2.5746	0.3547
2.92	48.190	20.027	0.4801	9.781	3.7821	2.5861	0.3517
2.93	48.388	19.956	0.4795	9.849	3.7917	2.5976	0.3487
2.94	48.586	19.885	0.4788	9.918	3.8012	2.6091	0.3457
2.95	48.783	19.815	0.4782	9.986	3.8106	2.6206	0.3428
2.96	48.980	19.745	0.4776	10.05	3.8200	2.6322	0.3398
2.97	49.175	19.676	0.4770	10.12	3.8294	2.6439	0.3369
2.98	49.370	19.607	0.4764	10.19	3.8387	2.6555	0.3340
2.99	49.564	19.539	0.4758	10.26	3.8479	2.6673	0.3312
3.00	49.757	19.471	0.4752	10.33	3.8571	2.6790	0.3283
3.02	50.142	19.337	0.4740	10.47	3.8754	2.7026	0.3227
3.04	50.523	19.205	0.4729	10.61	3.8935	2.7264	0.3172
3.06	50.902	19.075	0.4717	10.75	3.9114	2.7503	0.3118
3.08	51.277	18.946	0.4706	10.90	3.9291	2.7744	0.3065
3.10	51.650	18.819	0.4695	11.04	3.9466	2.7986	0.3012
3.12	52.020	18.694	0.4685	11.19	3.9639	2.8230	0.2960
3.14	52.386	18.571	0.4674	11.33	3.9811	2.8475	0.2910
3.16	52.751	18.449	0.4664	11.48	3.9981	2.8722	0.2860
3.18	53.112	18.329	0.4654	11.63	4.0149	2.8970	0.2811
3.20	53.470	18.210	0.4643	11.78	4.0315	2.9220	0.2762
3.22	53.826	18.093	0.4634	11.93	4.0479	2.9471	0.2715
3.24	54.179	17.977	0.4624	12.08	4.0642	2.9724	0.2668
3.26	54.529	17.863	0.4614	12.23	4.0803	2.9979	0.2622
3.28	54.877	17.751	0.4605	12.38	4.0963	3.0234	0.2577
3.30	55.222	17.640	0.4596	12.53	4.1120	3.0492	0.2533
3.32	55.564	17.530	0.4587	12.69	4.1276	3.0751	0.2489
3.34	55.904	17.422	0.4578	12.84	4.1431	3.1011	0.2446
3.36	56.241	17.315	0.4569	13.00	4.1583	3.1273	0.2404
3.38	56.576	17.209	0.4560	13.16	4.1734	3.1537	0.2363
3.40	56.908	17.105	0.4552	13.32	4.1884	3.1802	0.2322
3.42	57.237	17.002	0.4544	13.47	4.2032	3.2069	0.2282
3.44	57.564	16.900	0.4535	13.63	4.2179	3.2337	0.2243
3.46	57.888	16.799	0.4527	13.80	4.2323	3.2607	0.2205
3.48	58.210	16.700	0.4519	13.96	4.2467	3.2878	0.2167
3.50	58.530	16.602	0.4512	14.12	4.2609	3.3151	0.2129
3.52	58.847	16.505	0.4504	14.28	4.2749	3.3425	0.2093
3.54	59.162	16.409	0.4496	14.45	4.2888	3.3701	0.2057
3.56	59.474	16.314	0.4489	14.61	4.3026	3.3978	0.2022
3.58	59.784	16.220	0.4481	14.78	4.3162	3.4257	0.1987
3.60	60.091	16.128	0.4474	14.95	4.3296	3.4537	0.1953
3.62	60.397	16.036	0.4467	15.12	4.3429	3.4819	0.1920
3.64	60.700	15.946	0.4460	15.29	4.3561	3.5103	0.1887
3.66	61.001	15.856	0.4453	15.46	4.3692	3.5388	0.1855
3.68	61.299	15.768	0.4446	15.63	4.3821	3.5674	0.1823
3.70	61.595	15.680	0.4439	15.80	4.3949	3.5962	0.1792
3.72	61.889	15.594	0.4433	15.97	4.4075	3.6252	0.1761
3.74	62.181	15.508	0.4426	16.15	4.4200	3.6543	0.1731
3.76	62.471	15.424	0.4420	16.32	4.4324	3.6836	0.1702
3.78	62.758	15.340	0.4414	16.50	4.4447	3.7130	0.1673
3.80	63.044	15.258	0.4407	16.68	4.4568	3.7426	0.1645
3.82	63.327	15.176	0.4401	16.85	4.4688	3.7723	0.1617
3.84	63.608	15.095	0.4395	17.03	4.4807	3.8022	0.1589
3.86	63.887	15.015	0.4389	17.21	4.4924	3.8323	0.1563
3.88	64.164	14.936	0.4383	17.39	4.5041	3.8625	0.1536
3.90	64.440	14.857	0.4377	17.57	4.5156	3.8928	0.1510
3.92	64.713	14.780	0.4372	17.76	4.5270	3.9233	0.1485
3.94	64.984	14.703	0.4366	17.94	4.5383	3.9540	0.1460
3.96	65.253	14.627	0.4360	18.12	4.5494	3.9848	0.1435
3.98	65.520	14.552	0.4355	18.31	4.5605	4.0158	0.1411
4.00	65.785	14.478	0.4350	18.50	4.5714	4.0469	0.1388
4.05	66.439	14.295	0.4336	18.97	4.5983	4.1254	0.1330
4.10	67.082	14.117	0.4324	19.44	4.6245	4.2048	0.1276
4.15	67.713	13.943	0.4311	19.92	4.6500	4.2852	0.1223
4.20	68.333	13.774	0.4299	20.41	4.6749	4.3666	0.1173
4.25	68.942	13.609	0.4288	20.90	4.6992	4.4489	0.1126
4.30	69.541	13.448	0.4277	21.40	4.7229	4.5322	0.1080
4.35	70.129	13.290	0.4266	21.91	4.7460	4.6165	0.1036
4.40	70.706	13.137	0.4255	22.42	4.7685	4.7017	9.948 E-2
4.45	71.274	12.986	0.4245	22.93	4.7904	4.7879	9.550 E-2
4.50	71.832	12.840	0.4236	23.45	4.8119	4.8751	9.170 E-2
4.55	72.380	12.696	0.4226	23.98	4.8328	4.9632	8.806 E-2
4.60	72.919	12.556	0.4217	24.52	4.8532	5.0523	8.459 E-2
4.65	73.449	12.419	0.4208	25.06	4.8731	5.1424	8.126 E-2
4.70	73.970	12.284	0.4199	25.60	4.8926	5.2334	7.809 E-2
4.75	74.482	12.153	0.4191	26.15	4.9116	5.3254	7.505 E-2
4.80	74.986	12.025	0.4183	26.71	4.9301	5.4184	7.214 E-2
4.85	75.482	11.899	0.4175	27.27	4.9482	5.5124	6.936 E-2
4.90	75.969	11.776	0.4167	27.84	4.9659	5.6073	6.670 E-2
4.95	76.449	11.655	0.4160	28.42	4.9831	5.7032	6.415 E-2
5.00	76.920	11.537	0.4152	29.00	5.0000	5.8000	6.172 E-2
5.10	77.841	11.308	0.4138	30.17	5.0326	5.9966	5.715 E-2
5.20	78.732	11.087	0.4125	31.38	5.0637	6.1971	5.297 E-2
5.30	79.596	10.876	0.4113	32.60	5.0934	6.4014	4.913 E-2
5.40	80.433	10.672	0.4101	33.85	5.1218	6.6097	4.560 E-2
5.50	81.245	10.476	0.4090	35.12	5.1489	6.8218	4.236 E-2
5.60	82.032	10.287	0.4079	36.42	5.1749	7.0378	3.938 E-2
5.70	82.796	10.104	0.4069	37.73	5.1998	7.2577	3.664 E-2
5.80	83.537	9.928	0.4059	39.08	5.2236	7.4814	3.412 E-2
5.90	84.256	9.758	0.4050	40.44	5.2464	7.7091	3.179 E-2
6.00	84.955	9.594	0.4042	41.83	5.2683	7.9406	2.965 E-2