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1-28-2008 Lecture 10

# 1-28-2008 Lecture 10 - Keplers Laws Each planets orbit...

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Kepler’s Laws - Each planet’s orbit around the Sun is an ellipse, with the Sun at one focus; Newton proved that this implies r 2 gravitational force. - A planet moves along its orbit with a speed (incomplete) Orbital Paths - Extending Kepler’s Law #1, Newton found that ellipses were not the only orbital paths - Possible orbital paths Ellipse(bound) Parabola(unbound; E=0) Hyperbola(unbound) Angular Momentum Angular momentum – the momentum involved in spinning/circling = mass x velocity x radius Torque – Anything that can cause a change in an object’s angular momentum (twisting force) Conservation of Angular Momentum - In the absence of a net torque, the total angular momentum of a system remains constant. Torque - Torque is a twisting force – moving a door on hinges - Depends on not only how much force is used but where you apply the force Universal Law of Gravitation - Between every two objects there is an attractive force along a line between them; thus there is NO TORQUE and ANGULAR MOMENTUM is conserved.

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1-28-2008 Lecture 10 - Keplers Laws Each planets orbit...

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