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Gravitation
Physics · Chapter 12 · Units 4-6: Work, Energy and Power; Motion of System of Particles and Rigid Body; Gravitation
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Topics 6
- Newton's law of universal gravitation; unit and dimensions of G; acceleration due to gravity and weight W = mg
- Relation g = GM/R^2; variation of g with height and depth (derivations); variation with latitude and rotation (qualitative)
- Gravitational field intensity and potential; potential V(r) = -GM/r derived by integration; gravitational potential energy U = -GMm/r; U = mgh for h << R
- Escape velocity from energy considerations; why the moon has no atmosphere
- Satellites: orbital velocity and time period; weightlessness; geostationary satellites and the parking orbit; polar satellites and their uses
- Kepler's three laws of planetary motion; proof of the third law for circular orbits