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Unformatted text preview: q depends on m, , q, , and the w for the dark energy, determine how m M depends on w and z . If w is constant, then its value is determined by measuring distance moduli for one set of supernovae at small z (where the q dependence is negligible) and another set at, say, z = 0 . 5. Explain why we need supernovae at both small and large z . The distance modulus to an individual type Ia supernova can be measured with an accuracy of . 15 mag. How many supernovae must be measured, equally divided between small z and z = 0 . 5, to determine w for the dark energy to . 01? Assume that there are no systematic errors, so that the uncertainty in the average distance modulus of a group of supernovae is determined only by the number of supernovae contributing to the average. 3. Ryden problem 8.1 4. Ryden problem 8.3...
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 Fall '08
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