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how to find particle denisty
number of particles / volume
density / mass of particle
how to find number of particles
mass of universe/mass of particle
what is the composition of the universe
90% H, 10%He, 0.01% everything else
how to find number of molecular gas
density / (2 x mass of hydrogen)
how to find number of atomic gas
density / mass of hydrogen
how to find number of ionized gas
( 2 x density) / mass of hydrogen
what is the force of gravity
weak, attractive, radial force

what is the total energy of an object
start energy + energy gained ( not linked to speed )
what is the work done due to energy
derived from integrating the gravitational force, as F is not constant with r

what is the escape velocity of an object
KE = gravitational

what is the orbital velocity of an object
gravitational = centripetal

what is kepler’s first law
planets orbit in ellipses with sun at one focus not the centre
how to find eccentricity of an orbit
sqrt ( 1 - (b/a)² )

what is kepler’s second law
planets sweep out equal areas in equal times, as there is a conservation of angular momentum (m v r sintheta)
what is kepler’s third law
period² = r³
what is a binary system
centre of mass is stationary and shared, objects are on opposite sides to conserve momentum and have the same period