6. |A visual binary has a parallax 00 = 0.4 arcsec, a maximum separation a00 = 6.0 arcsec, and an orbital period P = 80 yr. What is the total mass of the binary system? Assume a circular orbit. [Hint: You need Kepler's Third Law of Planetary motion.] %3D
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![6. |A visual binary has a parallax 00 = 0.4 arcsec, a maximum separation a00
= 6.0 arcsec, and an orbital period P = 80 yr. What is the total mass of the
binary system? Assume a circular orbit. [Hint:
You need Kepler's Third Law of Planetary motion.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8694f02-79fe-4b76-9079-b1456b2e1bd2%2F09e6ceb2-5ef5-4ee2-8e5a-68723066100f%2Fkgu1ylv_processed.png&w=3840&q=75)
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- Problem 2. Parallax and Distance (Palen, et. al., 2nd Edition, Chapter 10, problem 43) Sirius, the brightest star in the sky has a parallax of 0.379 arcsec What is its distance in parsecs? in light-years?Could you do Question 1 c and d please? Thank youProblem 4. Stellar Temperature, Color, and Size a) (Palen, et. al., 2nd, Problem 45) Rigel has a Hipparcos parallax of 0.00412 arcsec. Given Rigel and Betelgeuse appear almost equally bright in the sky, i) which star is actually more luminous? ii) Betelgeuse appears reddish while Rigel appears bluish white. Which star is larger and why? b) (Palen, et. al., 2nd, Problem 46) Sirius is actually a binary pair of two A-type stars. The brighter and fainter of the pair is called the Dog Star and Pup Star, respectively (they are in the constellation Canis Major). The Dog Star is 6,000 times brighter than the Pup Star even though both stars are the same distance from us. Compare the i) temperature ii) luminosities iii) sizes (radii) of these two stars. (CALCULATE using the principles of brightness and the Stefan-Boltzmann law, do not look up the answers! HINT: Star letter type is a measure of temperature)
- What are the angular diameters of the following, as seen from Earth? a. The Sun, with radius R = Rsun = 7x10^5 km. b. Betelgeuse, with MV = -5.5 mag, mv = 0.8 mag, and R = 650Rsun. c. The galaxy M31, with R = 30 kpc at a distance D = 0.7Mpc. d. The Coma cluster of galaxies, with R = 3 Mpc at a distance D = 100 Mpc.92GM What is the escape velocity (in km/s) from the surface of a 1.6 Mo neutron star? From a 3.0 M. neutron star? (Hint: Use the formula for escape velocity, V. ; make sure to express quantities in units of meters, kilograms, and seconds. Assume a neutron star has a radius of 11 km and assume the mass of the Sun is 1.99 x 1030 kg.) 1.6 Mo neutron star km/s 3.0 Me neutron star km/s
- 2GM What is the escape velocity (in km/s) from the surface of a 1.1 Mo neutron star? From a 3.0 M, neutron star? (Hint: Use the formula for escape velocity, V. = make sure to express quantities in units of meters, kilograms, and seconds. Assume a neutron star has a radius of 11 km and assume the mass of the Sun is 1.99 x 1030 kg.) 1.1 Me neutron star km/s 3.0 M. neutron star km/s1115. We observe an increase in brightness of a star that is 5.81×10¹⁹ m away. How long ago did the actual increase in brightness take place, in years? Find the time that is required for light to reach the Earth.
- Barnard’s star is an orange star in the constellation Ophiuchus. It has the largest known proper motion (10.3577"/yr) and the fourth-largest parallax angle (0.54901"). In the spectrum of this star, the H alpha line is observed to have a wavelength of 656.034 nm when measured from the ground. a. Determine the radial velocity of Barnard’s star. b. Determine the transverse velocity of Barnard’s star. c. Calculate the speed of Barnard’s star through space.5. The approximate relationship between the luminosity and the period of Cepheid variables is Lstar[in units Lsun] = 335 P [in units days]. Delta Cephei has a cycle period of 5.4 days and a parallax of 0.0033 arcseconds. A second Cepheid appears 1/1000 times as bright and has a period of 54days. How far away (in parsecs) is the second more distant Cepheid?4. What is the upper limit of a brown dwarf’s size? a. no upper limit b. 0.50 solar masses c. 0.10 solar masses d. 0.08 solar masses e. less than 0.08 solar massesOn this one, I feel like E is the answer because the book mentions a red dwarf that is .08 solar masses in the section about brown dwarfs. I just want to be sure that D is not what they are looking for. (I've asked the professor, but I am not having any luck getting in touch with him.)