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Homework 1 Solutions

# A 25 pts what is its radius in units of solar radii

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Unformatted text preview: 39 => d = 10 x 100.2x2.39 = 30 pc (b) [15 pts] It is discovered that ∂ Makeyupus is a binary. What are the true apparent magnitudes of both components if (i) the two components have the same brightness (ii) one component is half as bright? (Hint: use the definition for apparent magnitude in equation 3.4) if equal brightness, then VA  ­ VA+B =  ­ 2.5 log fA + 2.5 log (2fA) =  ­2.5 log fA + 2.5 log fA + 2.5 log 2 = 0.75 => VA = VB = 7.97 if A is twice as bright as B, then VA  ­ VA+B =  ­ 2.5 log fA + 2.5 log (1.5 fA) =  ­2.5 log fA + 2.5 log fA + 2.5 log 1.5 = 0.44 VB  ­ VA =  ­ 2.5 log (0.5fA) + 2.5 log fA =  ­2.5 log fA + 2.5 log fA  ­ 2.5 log 0.5 = 0.75 => VA = 7.66, VB = 8.81 (c) [10 pts] Based on part (b), estimate the true distance to ∂ Makeyupus for both of the cases abov...
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