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mathslover

  • 2 years ago

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?

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  1. mathslover
    • 2 years ago
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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. mathslover
    • 2 years ago
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    @vishweshshrimali5

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

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

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

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

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

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

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

  10. mathslover
    • 2 years ago
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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 ..

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

  12. henpen
    • 2 years ago
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    *.29

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

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

  15. henpen
    • 2 years ago
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    parsecs

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

  17. henpen
    • 2 years ago
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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

  18. mathslover
    • 2 years ago
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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 )

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

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

  21. henpen
    • 2 years ago
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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.

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

  23. henpen
    • 2 years ago
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    0.00042971834596

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

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

  26. mathslover
    • 2 years ago
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    Thanks

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