Question 2: The integrated light from the Milky Way globular cluster NGC 104 has an apparent magnitude my = 4.03 mag and absolute magnitude My = -9.52 mag. It is located at 1 = 305.9, b = -44.9 and is d=4.5 kpc from the Sun. a.) b.) Estimate the amount of extinction between the Sun and 47 Tucanae in magnitudes. What does this value of extinction mean for the amount of attenuation by dust between Earth and NGC 104?.
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- using the center-of-mass equations or the Carter of Mass Calculator (under Binary-Star Basics, abova), you will investigate a specific binary star system. Assume that Star 1 has m, 3.2 solar masses, Star 2 has m,-0.9 solar masses, and the total separation of the two (R) is 34 All (One AU is Earth's average distance from the Sun) (2) What is the distance, d. (In Au) from Star 1 to the center of mass? AU (b) What is the distance, dy On Au) from Star 2 to the center of mass AU ( what is the ratio of d, tod?helpA main sequence star of mass 25 M⊙has a luminosity of approximately 80,000 L⊙. a. At what rate DOES MASS VANISH as H is fused to He in the star’s core? Note: When we say “mass vanish '' what we really mean is “gets converted into energy and leaves the star as light”. Note: approximate answer: 3.55 E14 kg/s b. At what rate is H converted into He? To do this you need to take into account that for every kg of hydrogen burned, only 0.7% gets converted into energy while the rest turns into helium. Approximate answer = 5E16 kg/s c. Assuming that only the 10% of the star’s mass in the central regions will get hot enough for fusion, calculate the main sequence lifetime of the star. Put your answer in years, and compare it to the lifetime of the Sun. It should be much, much shorter. Approximate answer: 30 million years.
- Problem Set on Binary Systems: 1.Consider two stars in orbit about a mutual center of mass. If a1 is the semimajor axis of the orbit of star of mass m, and a, is the semimajor axis of the orbit of star of mass m2, prove that the semimajor axis of the orbit of the reduced mass is given by a = a, + a2. points)Can you please help with Part 2 of 2? Thank you.I need the answer as soon as possible
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