Roger's Equations Blog

Roger's Equations

This blog is all about science and technology (with occasional math thrown in for fun). The goal of this blog is to try and pass on the sense of excitement and wonder I feel when I read about these topics. I hope you enjoy the posts.

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Riding Sunlight to Jupiter

Posted February 03, 2015 9:09 AM by Bayes

I recently came across this video simulating light traveling from the Sun to Jupiter. It's pretty cool because it gives some perspective on the vastness of space. Before you get to the video, here's some cool facts.

Speed of Light: ~671 million mph; ~11.2 million miles/min; ~186,000 miles/sec

Distance from Sun to Mercury: ~36 million miles
Distance from Sun to Venus: ~67 million miles
Distance from Sun to Earth: ~93 million miles
Distance from Sun to Mars: ~142 million miles
Distance from Sun to Jupiter: ~484 million miles

Riding Light to Jupiter Video

Distance from Sun to Saturn: ~891 million miles
Distance from Sun to Uranus: ~1.8 billion miles
Distance from Sun to Neptune:~2.8 billion miles
Distance from Sun to Pluto: ~3.7 billion miles
Distance from Sun to Voyager 1: ~12.2 billion miles
Distance from Sun to Voyager 2: ~10 billion miles

Where are the Voyagers?

It takes light from the Sun about 8 minutes to reach the Earth. It takes about 5 hours and 20 minutes for light from the Sun to reach Pluto. It takes about 18 hours and 10 minutes for light from the Sun to reach Voyager 1.

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#1

Re: Riding Sunlight to Jupiter

02/04/2015 5:22 PM

1.8 trillion furlongs per fortnight...

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The Engineer
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Re: Riding Sunlight to Jupiter

02/04/2015 5:50 PM

I would have used meters, but the French Revolution's inability to implement decimal time in 1794 has turned me off to SI Units. It just seems the height of hypocrisy to claim that base 10 should replace all systems and then use base 60 time in that same system.

Really, if you think about it, the English system is much more congruent with base 60 time than the SI system. Perhaps after Europe and the rest of the world adopt decimal time we Americans will be ready to give up our antiquated system, but to trade one flawed system for another seems pretty pointless.

So since Americans think in miles and that's my nationality, I decided to present the data that way. I could pedantically quote meters and meters/second, but then the information becomes unnecessarily abstract and that defeats my goal of conveying the vastness of space.

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#5
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Re: Riding Sunlight to Jupiter

02/06/2015 8:31 AM

I have never heard a doctor tell a nurse " give the patent 5/32 of a pint of this". If this occurred then the already disease ridden hospitals would be even more of a death trap.

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#3

Re: Riding Sunlight to Jupiter

02/04/2015 7:20 PM

Thanks, Roger. That was enlightening. I've always thought of light traveling amazingly fast, but seeing the planets pass by, it doesn't seem that fast after all. Of course, to a photon, everything happens simultaneously, relativistically. It might never even notice the universe existed.

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Re: Riding Sunlight to Jupiter

02/06/2015 8:03 AM

Yeah, I was always fascinated by that aspect of relativity. To be precise, it is unclear whether it is ok to extrapolate time dilation like that, but it is also not clear that you cannot. I've certainly have tried to visualize what it would be like for light if it didn't experience time. What I've come up with is everything is in the same spot and a jumbled combination. Makes me appreciate time. Also has made me wonder if that could be behind the "action at a distance" of entanglement. All baseless conjecture on my part, but fun!

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Re: Riding Sunlight to Jupiter

02/07/2015 2:13 PM

I've read that "everything moves at velocity c through spacetime". It's a kind of funny idea, since velocity is displacement per unit time, and time is part of the "displacement". But I guess that is OK. (Actually, I think it's called four-velocity).

I found this explanation of Special Relativity on the internet one time, but haven't located it since:

If you're moving with respect to me, your coordinate system is slightly askew with respect to mine, so our relative velocity is the vector difference between two vectors that are almost parallel. (I visualize two jet planes flying almost parallel and drifting slowly apart.) If the relative velocity is great enough, the coordinates will be far enough from parallel that your distance will seem shorter to me and your "time" will seem to be foreshortened (pass slower). By symmetry, you will see the same effect in my coordinate system from your viewpoint.

Travelling at velocity c through space, a photon's coordinate system in spacetime is rotated a full 90 degrees, so that its "velocity" c is completely in some spatial direction and none at all in the time direction.

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