ps04 - Physics 341: Problem Set #4 due October 7 You are...

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

View Full Document Right Arrow Icon
Physics 341: Problem Set #4 due October 7 You are encouraged to work in groups on these problems, but each student must write up the solutions individually. You must also list your collaborators on your solutions, and cite any external sources you used (other than the course notes or textbook). I will give partial credit for partial answers, but only if you show your work and explain your reasoning. Be careful with units. 1. We showed in class that we can derive the total mass from a visual binary orbit, M = m 1 + m 2 = 4 π 2 d 3 ˜ α 3 GP 2 where M is the total mass, ˜ α is the angular semi-major axis in radians (˜ α = ˜ α 1 + ˜ α 2 ), P is the orbital period, and d is the distance to the system. Often for visual orbits of stars, we know ˜ α and P very precisely, but the distance d is much more uncertain. Let’s call the fractional uncertainty on the distance f d , meaning that we think the true distance is within d = d 0 ± f d d 0 (where d 0 is our best guess and f d ² 1). For example, if
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/05/2010 for the course PHYS 341 taught by Professor Keeton during the Fall '08 term at Rutgers.

Page1 / 2

ps04 - Physics 341: Problem Set #4 due October 7 You are...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online