Intro to Astro Equations

What is the equation for monochromatic flux?

What is the equation for monochromatic luminosity?

What is the equation for bolometric flux?

What is the equation for bolometric luminosity?

What is the inverse square law equation linking flux and luminosity?

What is the equation for flux of particles received at a detector?

What is the equation for apparent magnitude?

What is the equation for distance modulus?

Distance modulus = apparent magnitude (m) - absolute magnitude (M) 

What is the equation for parallax using the small angle approximation?

How do you convert from arcseconds to radians?

What is the equation for parallax in arcseconds using distance in parsecs?

What is the equation for tangential velocity?

What is the equation for space velocity?

What is the equation for doppler shift for v<0.1c?

What is the equation for doppler shift for v>0.1c

What is the equation for magnitude for stars in the immediate vicinity?

What is the equation for magnitude including the extinction coefficient?

What is the equation for colour temperature?

What is the equation linking bolometric luminosity, bolometric flux, and effective temperature?

What are the two equations for bolometric flux involving angular radius and angular diameter?

What is the peak of the probability distribution, defining the most probable speed?

What is the equation for mean speed of a particle?

What is the equation for mean energy involving temperature?

What is the equation for the quantised angular momentum of electrons?

What is the equation for total orbital energy?

What is meant by the term h bar?

What is the equation for Bohr energy?

What is the Boltzmann equation?

What is the equation for Kepler’s first law?

What is the equation for Kepler’s third law?

What is the equation for the orbital velocity at perihelion?

What is the equation for the orbital velocity at aphelion?

What is the equation for binaries with Kepler’s 3rd Law?

What is the equation for escape velocity?

What is the equation for area for a solid angle?

What is the equation for a³ in this diagram?

What is the equation for Ma+Mb?

What is the equation for the angular offset from CoM?

What is the equation for m1+m2 for eclipsing binaries?

What is the equation for r₁ for an eclipsing binary?

What is the equation for r₂ for an eclipsing binary?

What is the equation relating luminosity, flux, and effective temperature for eclipsing binaries?

What is the equation for the force due to the mass of a galaxy acting on an object inside the galaxy?

What is the equation for the force due to the mass of a galaxy acting on an object outside the galaxy?

r=0

What is the equation for v(r) in terms of M(r)?

What is the equation for average M/L ratio for stars?

What is the standard order of magnitude of the mass in solar masses for a giant galaxy?

10¹²

What is the standard order of magnitude of the mass in solar masses for an intermediate galaxy?

10¹⁰

What is the standard order of magnitude of the mass in solar masses for a dwarf galaxy?

10⁸

What is the virial theorem?

PE+2KE=0

What are the 2 equations for total mass, Mc, for N galaxies mass m?

Mc = Nm

How do you convert from mas to radians?

Divide by 1000 for the milli then by 3600 to get into degrees then times pi divided by 180