This is an attempt to list all the main equations that shaped modern astronomy.
Eq:1
Ideal gas law
relates gas pressure with number of molecules, density, mass and temperature
Eq:2
Newton’s law of gravity
quantifies gravitational force w.r.t mass and distance of interacting bodies
Eq:3
Gravitational potential energy
potential energy possessed by interacting bodies at a distance
Eq:4
Kinetic energy
kinetic energy contained in a moving body
Eq:5
Virial theorem
relates potential and kinetic energy of a self-gravitating body
Eq:6
Energy of a photon
relates to it wavelength or frequency and planck’s constant
Eq:7
Wien’s displacement law
relates peak wavelength of thermal emission spectrum with surface temperature
Eq:8
Stefan’s law
relates luminosity of a radiating body with surface area and temperature
Eq:9
Electric force
eq is in same spirit as gravitation force
Eq:10
Intensity of received energy or Flux
relates flux with luminosity and distance
Eq:11
Cosmological red shift
doppler shift in frequency with relative velocity of source
Eq:12
Ideal gas equation of energy
doppler shift in frequency with relative velocity of source
Eq:13
Photon recombination at sun core
relates average number of photons with distance (Δr) and mean free path (l)
Eq:14
schwarzschild radius of a black hole
relates schwarzschild radius with mass of black hole and speed of light
Eq:15
Hubble’s equation
relates recessional velocity with distance
