ay45c4-page29 - M2 v1 M1 ′ old CoM new CoM expanding...

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: M2 v1 M1 ′ old CoM new CoM expanding shell of mass M1− M1 ′ centered on M1 v2 A rst important e ect is that the remaining binary is not at rest. Let's calculate its new CoM velocity vc: M10 v 1 + M2v2 = (M10 + M2)vc : Or, using v1 = M2v2=M1 and M10 = M1 M , M2 (M1 M ) M v2 + M2v2 = (M1 M + M2)vc 1 giving = M (M MM2 M ) v2 : 1 1 + M2 Notice that as M ! M1 (all-star explosion!), vc ! v2, as it must. Typical values might be M1 = 10M , M2 = 5M , M = 8:5M , leaving a 1:5M neutron star for M10 , so v c v c 8 = 10:5  :55 v2 = 0:65v2 : 6 88 ...
View Full Document

Ask a homework question - tutors are online