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"Everything that happens in the heavens should be accounted for by uniform motions in perfect circles."
- Plato's precept
"The die is cast, the book is written, to be read either now or by posterity. I care not which - it may well wait a century for a reader, as God has waited six thousand years for an observer."
- Johannes Kepler (De Harmonia Mundi)
Motion of planets and Kepler's Laws.
Newtonian force of universal gravitation. Gravitational constant.
Mass as the measure of gravity. The mass of the Earth. Acceleration due to gravity on different planets. Mass of the Sun.
Variation of acceleration due to gravity with altitude.
Circular motion under force of gravity. First escape speed.
Satellites. Geostationary satellites and GPS. The Moon as a natural satellite.
Computer simulation of satellite motion. Elliptical orbits. Modeling motion of asteroids near the Earth. Parabolic and Hyperbolic orbits (solutions).
Mass and weight on a big scale. Inertial and gravitational mass. Equivalence principle.
Einstein's Theory of Gravitation. Curved space-time. Black holes and gravitational waves.
Presentation: Planetary Motion and Theory of Universal Gravitation
Presentation: Planetary Motion and Theory of Universal Gravitation
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Practice Assignments:
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