Solar Eclipse Maths and the Cosmic Coincidence of the Saros Cycle
There was a solar eclipse on the 20 March 2015 and so I thought I'd make a quick video of the mathematics behind predicting eclipses. I now regret that decision.
EDIT: I over-simplified the elliptical orbit of the moon but not putting the Earth at one of the foci, which messes with the closest and nearest points at 3:40. Elliptical orbits are not that simple.
NASA pages on the moon's orbit and the Saros cycle:
http://eclipse.gsfc.nasa.gov/SEhelp/moonorbit.html
http://eclipse.gsfc.nasa.gov/SEsaros/SEsaros.html
Photograph of the total eclipse is copyright Anthony Ayiomamitis and used with his kind permission.
https://www.flickr.com/photos/ayiomamitis/4797792174/
The paper on the long-term instabilities of planetary orbits is here:
http://www.nature.com/nature/journal/v459/n7248/full/nature08096.html
Fred Espenak is the eclipse dude:
http://www.mreclipse.com/MrEclipse.html
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/
New book: http://makeanddo4D.com/
Nerdy maths toys: http://mathsgear.co.uk/
Видео Solar Eclipse Maths and the Cosmic Coincidence of the Saros Cycle канала Stand-up Maths
EDIT: I over-simplified the elliptical orbit of the moon but not putting the Earth at one of the foci, which messes with the closest and nearest points at 3:40. Elliptical orbits are not that simple.
NASA pages on the moon's orbit and the Saros cycle:
http://eclipse.gsfc.nasa.gov/SEhelp/moonorbit.html
http://eclipse.gsfc.nasa.gov/SEsaros/SEsaros.html
Photograph of the total eclipse is copyright Anthony Ayiomamitis and used with his kind permission.
https://www.flickr.com/photos/ayiomamitis/4797792174/
The paper on the long-term instabilities of planetary orbits is here:
http://www.nature.com/nature/journal/v459/n7248/full/nature08096.html
Fred Espenak is the eclipse dude:
http://www.mreclipse.com/MrEclipse.html
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/
New book: http://makeanddo4D.com/
Nerdy maths toys: http://mathsgear.co.uk/
Видео Solar Eclipse Maths and the Cosmic Coincidence of the Saros Cycle канала Stand-up Maths
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