{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# exc2 - Introduction to Astrophysics 0321.3108 Exercise 2 1...

This preview shows pages 1–2. Sign up to view the full content.

Introduction to Astrophysics 0321.3108 Exercise 2 1. The maximal radial velocities measured for the two components of a spectroscopic binary are 100 km s - 1 and 200 km s - 1 , with an orbital period of 2 days. The orbits are circular. a. Find the mass ratio of the two stars. b. Use Keplers Law to calculate the value of M sin 3 i for each star, where M is the mass and i is the inclination to the observers line of sight of the perpendicular to the orbital plane. c. Calculate the mean expectation value of the factor sin 3 i , i.e., the mean value it would have among an ensemble of binaries with random inclinations. Find the masses of the two stars, if sin 3 i has its mean value. Hint: In spherical coordinates, ( θ, φ ), integrate over the solid angle of a sphere where the observer is in the direction of the z axis, with each solid angle element weighted by sin 3 θ . 2. In an eclipsing spectroscopic binary, the maximal radial velocities measured for the two com- ponents are 20 km s - 1 and 5 km s - 1 . The orbit is circular, and the orbital period is

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern