Notes Hydrostatic equilibrium Hydrostatic equilibrium is an important concept in the study of stars. It refers to the balance between the inward force of gravity and the outward force of pressure that determines ...
Notes Pressure exerted by the star Stars emits electromagnetic radiation of all possible wavelength because of thermonuclear fusion reaction at the core. Hydrogen and helium, which are the main byproducts of big bang nucleosynthesis, …
Notes Kepler's problem by H-J method Kepler's problem is basically a problem related to central force. For simplicity we take inverse square force between nucleus of charge 'Ze' and electron of charge 'e'. One of the ...
Notes Poisson Bracket ELI5: Imagine you have a big toy box filled with different toys like cars, dolls, action figures, etc. Each toy represents a different thing, like the position and speed of ...
Notes Poisson's Second Theorem Statement: '' The poisson bracket of two constant of motion is itself a constant of motion.''If u and v are constant of motions then their poisson's bracket is also ...
Notes Freely falling particle using the H-J method To determine the motion of a particle falling vertically in a uniform gravitational field, the Hamiltonian is given byH = T + V = p²/ 2m + mgy .........1...
Notes Free vibrations of a linear triatomic molecule Fig: Model of a linear symmetric triatomicLet us consider two atoms of mass m are symmetric triatomic located on each side of an atom of mass M. All three ...
Notes Small oscillations Lagrangian approach is suitable for the system with small oscillation about an equilibrium position. The theory of small oscillation about equilibrium position is applicable in molecular spectra, …
