Saturday 30 July, 2005

I take it back...

Filed under: Numbers and stuff

Sorry to all the astronomers out there; I take it back. I've just read up a little more on 2002 UB313 or Sedna as it's now being called, and done a few calculations.

The Earth's moon is about 382,480km away from Earth and 3,476km in diameter. (Interestingly, the Shuttle would have to go 400 times higher than its current altitude to get to the moon.) Resorting back to the good ol' inverse tan function, this means that the angle that your eyes would move between looking at the left-hand edge of the moon and the right-hand edge is around 0.52°, or 0.009 radians. Put another way, if you were out at sea (with a full 180° sky), you'd need 346 moons in a string to go from one horizon to the diametrically opposite horizon.

Now take our new friend Sedna. It's less than 1,700km in diameter and is currently 13,000,000,000km away from us. That means that its equivalent angle is 0.00000749° or 0.00000013 radians, so you'd need 48,047,887 of them to stretch in an arc across the sky. In other words, visually, it is 69,425 times smaller (in terms of width, not area) than the moon.

If you chose to look through your telescope at night, assuming you're on the correct side of the earth at the time, if you chose a single point at random to look at in space, there would be a 467,621,956,521,874 to 1 chance that you'd be looking at Sedna.

Well done for finding it!


Posted by dan at 11:00am | Permalink | Comments (4) | Trackbacks (0)
Comments

Do you know the price of a loaf of bread and a pint of milk too?

Posted by Simon, 10:23pm, Sunday 31 July 2005

Hi Dan. On a similar theme, I remember a Guinness-fuelled pub conversation with Benny Cogan around New Year's eve 1999 in which our Millennium tribute was a proposal to fire the then-still-alive Queen Mother into the sun from a specially-constructed cannon at the top of the hill in Greenwich Park.

There were a few flaws: notably whether her fragile nonogerian body would have withstood the charge necessary to launch her into the inky blackness of space, but we decided to overlook them.

I'm not one for inverse tan functions and cosine co-effients and other mathematical mumbo jumbo, though some rudimentary schoolboy mathematics reveales that, given the velocity needed for your standard cannonball/Queen Mother to escape the earth's gravitational pull (some 27,353km/h), and the distance from home planet to our closest star (149,597,890km), she would have arrived around 9 o'clock in the evening on the 15th of August 2000.

On the basis that the newly discovered Sedna is 13,000,000,000 kms away (some 87 times more distant), it might have been nice to alter her bearing (possibly using small rockets concealed in her peacock-feather hat) which would have allowed her to be slingshot around the sun, ultimately arriving at the newly discovered planet sometime in April 2054.

Were more planets to be discovered before this date, she could be sent on the ultimate "Royal Tour" around our solar system, becoming a powder-blue ambassador for all mankind and creating a fitting legacy for our childen, and our children's children. Her shelf life as a Millennium tribute would obviously be strictly limited to 1,000 years however, whereupon she'd just become another harmless piece of 'space junk' littering the cosmos, her brown gnashers grimacing at the solar winds for all eternity.

Posted by Steve, 2:04am, Monday 1 August 2005

This was poetic, Steve. The thought of the late Queen Mother waving vaguely to the crowds in Greenwich Park, adorned in a lilac outfit complete with peacock-feathered hat is one to behold.

Posted by Dan, 3:03am, Monday 1 August 2005

"If you chose to look through your telescope at night" - Hmm, with what field of view, and I think your numbers are wrong.

Posted by Jason, 9:47pm, Sunday 17 February 2008
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