Mathematical Methods in Physics I

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Presentation transcript:

Mathematical Methods in Physics I Prof Wladimir Lyra Live Oak, 1119-G Office Hours: Tue 2:30pm-3:30pm Class hours: Tue/Thu 3:30pm-4:15pm

Raphael’s School of Athens

Aristotle

Aether

The celestial sphere

Evidence for Geocentrism

Evidence for Geocentrism If the Earth moved, the stars would show a parallax.

Ptolemy

Retrograde Motion

Retrograde Motion

An ingenious idea: Epicycles Two circles! The planet executes an orbit (epicycle) around a point This point executes an orbit (deferent) around Earth

An ingenious idea: Epicycles Two circles! The planet executes an orbit (epicycle) around a point This point executes an orbit (deferent) around Earth

Sometimes more epicycles were needed Sophistications Sometimes more epicycles were needed to accurately predict the position of the planets

Sophistications: The Equant Earth is at an “eccentric” point, off the center of the deferent. The center of the epicycle moves with constant speed around the Equant.

Why does the geocentric model work?

Why does the geocentric model work? Epicycles!

Why does the geocentric model work? Equant Epicycles

The geocentric model Equant Epicycles

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