I did:
\frac{dP}{dr}=ρg
and g=\frac{GM}{r^2}
so \frac{dP}{dr}=\frac{-GMρ}{r^2} (Hydrostatic equilibrium equation)
and \frac{dM}{dr}=4πr^{2}ρ (equation of mass conservation)
by dividing the two equations: \frac{dP/dr}{dM/dr}=\frac{dP}{dM}=\frac{-GM}{4πr^4}
integration...
Thanks for the reply!
I just want to check but I can get the velocity with the formula:V_{s}=\frac{2πr_{s}}{P} where P=Period and r_{s}=radius of the star
and the period formula being P^{2}=\frac{4π}{GM}a^{3}
M=Mass of star, a=semi-major axis
I have a homework question that I am having troubles with.
Q: By equating the pressure at the centre of an icy planetesimal to the maximum pressure that cold ice can sustain without deforming, about 40 MPa, find a lower limit to the diameter of an icy minor planet.
The part I don't...
I have a homework problem that I am having troubles with. There are 2 parts
A transiting exoplanet with a diameter twice that of the Earth orbits a sun-like star in a circular orbit of radius 1.5 AU
a) How much reduction in the flux of the star occurs during the transit?
Earth's...