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mathslover Group Title

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?

  • 2 years ago
  • 2 years ago

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  1. mathslover Group Title
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    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

    • 2 years ago
  2. mathslover Group Title
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    @vishweshshrimali5

    • 2 years ago
  3. mathslover Group Title
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    @hartnn any idea?

    • 2 years ago
  4. hartnn Group Title
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    nopes,seen such question for the first time.

    • 2 years ago
  5. mathslover Group Title
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    well I can remind you that it is "parallax method"

    • 2 years ago
  6. vishweshshrimali5 Group Title
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    @mukushla may help you...

    • 2 years ago
  7. henpen Group Title
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    \[4.26ly=(3*10^8)(365.25*24*60*60)m=9.467*10^{15}m\]\[1psc=3.09*10^{16}m\] \[4.26ly=\frac{9.467*10^{15}}{3.09*10^{16}}psc=0.306psc\]

    • 2 years ago
  8. mathslover Group Title
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    \[\large{4.29 ly = 9.46*10^{15}m * 4.29 = 40.5834*10^{15} = 4 * 10^{16} m }\] \[\large{4.29 ly = \frac{4*10^{16}}{3*10^{16}}=\frac{4}{3}=1.3333...}\]

    • 2 years ago
  9. mathslover Group Title
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    \(\large{1ly = 9.46*10^{15}m}\)

    • 2 years ago
  10. mathslover Group Title
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    @henpen You have done a mistake there, you forgot to multiply 4.29 there and you by fault wrote 4.26 ly ..

    • 2 years ago
  11. henpen Group Title
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    Oh yes- just multiply the end result by 4.26

    • 2 years ago
  12. henpen Group Title
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    *.29

    • 2 years ago
  13. mathslover Group Title
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    so the answer is 1.33... ?

    • 2 years ago
  14. mathslover Group Title
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    *1.33... pascal ?

    • 2 years ago
  15. henpen Group Title
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    parsecs

    • 2 years ago
  16. mathslover Group Title
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    lol sorry forgot that but still m i correct with the solution given above?

    • 2 years ago
  17. henpen Group Title
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    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

    • 2 years ago
  18. mathslover Group Title
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    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 )

    • 2 years ago
  19. mathslover Group Title
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    In short : what r u getting after doing that @henpen

    • 2 years ago
  20. henpen Group Title
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    |dw:1348407871723:dw| Multiply by 2 for the change

    • 2 years ago
  21. henpen Group Title
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    Actually, don't multiply by 2|dw:1348408141213:dw|. Take the answer away from 90, and multiply THAT answer by 2.

    • 2 years ago
  22. henpen Group Title
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    2*(90-arctan(8*10^5 /3)) http://web2.0calc.com/

    • 2 years ago
  23. henpen Group Title
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    0.00042971834596

    • 2 years ago
  24. henpen Group Title
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    If parallax is measured in degrees, that is.

    • 2 years ago
  25. mathslover Group Title
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    Yes that is absolutely *correct* @henpen good work

    • 2 years ago
  26. mathslover Group Title
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    Thanks

    • 2 years ago
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