{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Homework 4 Solutions

1cos2 and tan can run from 0 to this gives us ignoring

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: ndent of ρc and hence any other variable we could vary; MR3 is therefore a constant. (b) [10 pts] Show that for an n=3 polytrope, the total mass of a star is independent of the central density. This is similar to part a; we start by writing down how M scales with λn and ρc: M ∝ λ3 ρc n and solve for λ3: −2/3 4K ρ c λ3 = 4π G 1/ 2 ∝ ρ−1/3 c Again, the combination of λ3 and ρc cancels ρc. (c) [10 pts] Show that for an n=5 polytrope, even though ξ1 →∞, the total mass r...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online