EP COSMIC PERSPECTIVE-MOD.MASTERING
EP COSMIC PERSPECTIVE-MOD.MASTERING
9th Edition
ISBN: 9780137453481
Author: Bennett
Publisher: SAVVAS L
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Chapter 18, Problem 53EAP

a)

To determine

The sum of the masses of the twostars in the binary system

b)

To determine

The mass of unseen companion.

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Determining the orbit of the two stars of Kepler-34, also called A and B. These two stars together are called a binary.  A) Assume that star A has a mass of 1 solar mass and star B also has a mass of 1 solar mass. The semi major axis is 0.23 AU and the eccentricty is 0.53. What is the orbital period of the stellar A-B binary in days? Ignore the (much less massive) planet and focus on the orbit of the binary.  B) Now let's consider the orbit of the planet, called "b". Since the planet orbits some distance away from the stars, it is an acceptable approximation to pretend like the stellar binary is like a single star with a mass that is the sum of the masses of stars A and B and that the mass of planet "b" is very small, calculate the semi-major axis in AU of the planet's orbit with a period of 289 days.  (note: I think for this problem you are supposed to use Newton's version of Kepler's third law P2= 4π2/G(M1-M2)x a3 but, I'm not sure if that's the right thing to do).  1 solar mass= 2 x…
You've just discovered a new X-ray binary, which we will call Hyp-X1 ("Hyp" for hypothetical). The system Hyp-X1 contains a bright, B2 main-sequence star orbiting an unseen companion. The separation of the stars is estimated to be 21 milion kilometers, and the orbital period of the visible star is 3 days.  (a) Use Newton's version of Kepler's third law to calculate the sum of the masses of the two stars in the system. (Hinr. See Mathematical Insight Measuring Stellar Masses in the textbook) Give your answer in both kilograms and solar masses MS-2.0 x 10^30 kg) Express your answer in kilograms to two significant figures. (b) Express your answer as a multiple of Sun's mass to two significant figures.  (c) Determine the mass of the unseen companion.(Hint A main-sequence star with spectral type B2 has a mass of about 10 MSun) Express your answer as a multiple of Sun's mass to two significant figures.
A (relatively) nearby K-type star known as Nu? Canis Majoris has an estimated orbital radius of 2.3344 x 10° km, and an estimated orbital period of 736.9 days. a. What is the mass of Nu? Canis Majoris? b. What is the mass of Nu² Canis Majoris in terms of solar masses?

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