mathslover
  • mathslover
The nearest star to our solar system is 4.29 light years away. How much is this distance in terms of parsecs? How much parallax would this star (named Alpha Centauri) show when viewed from two locations of the Earth six months apart in its orbit around the Sun?
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathslover
  • mathslover
OK so I had done the first part but I am confused with the second one. 1.3333... pascal is the answer for 1st part. @hartnn @Algebraic! @sauravshakya
mathslover
  • mathslover
@vishweshshrimali5
mathslover
  • mathslover
@hartnn any idea?

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hartnn
  • hartnn
nopes,seen such question for the first time.
mathslover
  • mathslover
well I can remind you that it is "parallax method"
vishweshshrimali5
  • vishweshshrimali5
@mukushla may help you...
anonymous
  • anonymous
\[4.26ly=(3*10^8)(365.25*24*60*60)m=9.467*10^{15}m\]\[1psc=3.09*10^{16}m\] \[4.26ly=\frac{9.467*10^{15}}{3.09*10^{16}}psc=0.306psc\]
mathslover
  • mathslover
\[\large{4.29 ly = 9.46*10^{15}m * 4.29 = 40.5834*10^{15} = 4 * 10^{16} m }\] \[\large{4.29 ly = \frac{4*10^{16}}{3*10^{16}}=\frac{4}{3}=1.3333...}\]
mathslover
  • mathslover
\(\large{1ly = 9.46*10^{15}m}\)
mathslover
  • mathslover
@henpen You have done a mistake there, you forgot to multiply 4.29 there and you by fault wrote 4.26 ly ..
anonymous
  • anonymous
Oh yes- just multiply the end result by 4.26
anonymous
  • anonymous
*.29
mathslover
  • mathslover
so the answer is 1.33... ?
mathslover
  • mathslover
*1.33... pascal ?
anonymous
  • anonymous
parsecs
mathslover
  • mathslover
lol sorry forgot that but still m i correct with the solution given above?
anonymous
  • anonymous
Yes. As to the parallax, the earth sun distance *2 is 3*10^11 m, so just use trigonometry to work out the angle change
mathslover
  • mathslover
I tried that by applying the formula (parallax formula) : d = b / theta but I was unable to complete it... to the correct answer Can you show your work? or just answer you get so that I can check it with the correct answer... (I am not wanting a direct answer but here I want to check it so please provide your answer )
mathslover
  • mathslover
In short : what r u getting after doing that @henpen
anonymous
  • anonymous
|dw:1348407871723:dw| Multiply by 2 for the change
anonymous
  • anonymous
Actually, don't multiply by 2|dw:1348408141213:dw|. Take the answer away from 90, and multiply THAT answer by 2.
anonymous
  • anonymous
2*(90-arctan(8*10^5 /3)) http://web2.0calc.com/
anonymous
  • anonymous
0.00042971834596
anonymous
  • anonymous
If parallax is measured in degrees, that is.
mathslover
  • mathslover
Yes that is absolutely *correct* @henpen good work
mathslover
  • mathslover
Thanks

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