Definition o f kepler's law in classical mechanics
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KEPLER'S LAW
Kepler's law describes the orbits of planets around the sun or stars around a galaxy in classical mechanics. They have been used to predict the orbits of many objects such as asteroids and comets , and were pivotal in the discovery of dark matter in the Milky Way. Violations of Kepler's laws have been used to explore more sophisticated models of gravity, such as general relativity. While Newton's laws generalize Kepler's laws, most problems related to the periods of orbits are still best solved using Kepler's laws, since they are simpler.
Recall the statements of Kepler's laws:
Planets move in elliptical orbits with the sun at one focus.
The line joining planets to either focus sweeps out equal areas in equal times.
The square of the period is proportional to the cube of the semi-major axis (half the longer side of the ellipse):
These laws can be applied to model natural objects like planets, stars, or comets, as well as man-made devices like rockets and satellites in orbit.
Although Kepler originally developed his laws in the context of planetary orbits, the results hold for any system with a radial force obeying the inverse square law. Coulomb's law holds that the electric force between two charged particles in an inverse square law like gravity (assuming that the particles have opposite charge). In spite of the fact that quantum mechanics is needed to fully model how electrons orbit nuclei, electrons with very high energy behave as though they had Keplerian orbits, and atoms containing such electrons are known as Rydberg atoms.
hope it helps
Kepler's law describes the orbits of planets around the sun or stars around a galaxy in classical mechanics. They have been used to predict the orbits of many objects such as asteroids and comets , and were pivotal in the discovery of dark matter in the Milky Way. Violations of Kepler's laws have been used to explore more sophisticated models of gravity, such as general relativity. While Newton's laws generalize Kepler's laws, most problems related to the periods of orbits are still best solved using Kepler's laws, since they are simpler.
Recall the statements of Kepler's laws:
Planets move in elliptical orbits with the sun at one focus.
The line joining planets to either focus sweeps out equal areas in equal times.
The square of the period is proportional to the cube of the semi-major axis (half the longer side of the ellipse):
These laws can be applied to model natural objects like planets, stars, or comets, as well as man-made devices like rockets and satellites in orbit.
Although Kepler originally developed his laws in the context of planetary orbits, the results hold for any system with a radial force obeying the inverse square law. Coulomb's law holds that the electric force between two charged particles in an inverse square law like gravity (assuming that the particles have opposite charge). In spite of the fact that quantum mechanics is needed to fully model how electrons orbit nuclei, electrons with very high energy behave as though they had Keplerian orbits, and atoms containing such electrons are known as Rydberg atoms.
hope it helps
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