Diagram of Hubble out of B

We are from now on in measurement, with Nos 4 close supernovæ remote and Nos 46 supernovæ, to consider the parameters cosmological.

For that, we use the relation 10.3 which we adjust with our batch of 50 supernovæ. Contrary to the preceding diagrams of Hubble, the cosmological parameters are adjusted. Nevertheless, we have only one batch of data reduced, we thus fixed the relation enters $\Omega _ { \rm M}$, that is to say between 0 and 3.

Figure 10.16: The batch of supernovæ close and remote out of B in the diagram of variation to the model of universe empties for 4 models of universe. (see figure 10.5 for more precision.)

Figure 10.16 presents the diagram of Hubble result of the adjustment. The line in full feature represents the currently favoured universe by the observations (knop2003, spergel2003), that is to say respective values from $\Omega _ \Lambda$ 0.28 and 0.72.

We note that Nos 4 supernovæ support these models. The result of the adjustment gives us:

$$\Omega_{\rm M}= 0.35^{+0.2}_{-0.15}$$ (10.7)

in concord with the other observations. The importance of the errors is once again ascribable with the precision to the measure of the color of the supernovæ.

Figure 10.17: Diagram of the variation to the model of universe empties for our batch of 50 supernovæ, (see figure 10.5 for the details).