Assume that the gravitational binding energy of a star of mass M and radius R is |Egr| ~ GM²/R. Use the virial theorem (Eq. 3.22), P = 1 Egr 3 V' to show that P 4π 1/3 - (3) GM²/34/3, 34 where p is the typical density.
Assume that the gravitational binding energy of a star of mass M and radius R is |Egr| ~ GM²/R. Use the virial theorem (Eq. 3.22), P = 1 Egr 3 V' to show that P 4π 1/3 - (3) GM²/34/3, 34 where p is the typical density.
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Use the provided virial theorem to show the following.
Transcribed Image Text:Assume that the gravitational binding energy of a star of mass M and radius R is
Egr~ GM²/R. Use the virial theorem (Eq. 3.22),
1 Egr
3 V
to show that
4π
(47) '
34
where p is the typical density.
P
P
=
1/3
GM²/304/3,
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