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Babynini

  • one year ago

Halp!

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  1. Babynini
    • one year ago
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    Many comets have elliptical orbits with the sun at focus. in many cases the eccentricity is cose to 1 and the ellipse is very flat. halley's comet has an elliptical orbit with eccentricity e=0.967. The closest that halley's comet comes to the sun is 0.587 AU. Approximate the max distance of the comet from the sun in AU, accurate to three decimal places. Note that one astronomical unit = 1AU = (approximately) 93,000,000miles

  2. Babynini
    • one year ago
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    I'm not sure where to even start...

  3. Babynini
    • one year ago
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    @zepdrix any ideas?

  4. zepdrix
    • one year ago
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    Mmmm no :x I don't remember eccentricity, sec i try to read

  5. rational
    • one year ago
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    \[e=\frac{c}{a}\]

  6. Babynini
    • one year ago
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    yep yep. I'm not sure how to apply formulas here hah

  7. Babynini
    • one year ago
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    I really don't know o.0 i've been trying to manipulate it but it's not working much.

  8. rational
    • one year ago
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    |dw:1433488489699:dw|

  9. rational
    • one year ago
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    From the diagram, clearly \[\large a-c = 0.587\tag{1}\] From the eccentricity formula \[\large \frac{c}{a}=0.967\tag{2}\] two equations and two unknowns, we can solve them

  10. Babynini
    • one year ago
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    wait, where's the 0.587 related to?

  11. rational
    • one year ago
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    it is shortest distance from the focus(sun) to the ellipse(path of halley comet)

  12. Babynini
    • one year ago
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    ah, k. I see now.

  13. Babynini
    • one year ago
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    so now what do we do? c=0.967(a)

  14. Babynini
    • one year ago
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    and plug that into the previous statment? a-c=0.587 a-(0.967)* (a)=0.587

  15. Babynini
    • one year ago
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    (sorry those last two were meant to be on the same line)

  16. rational
    • one year ago
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    solve a

  17. Babynini
    • one year ago
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    587/33 ?

  18. Babynini
    • one year ago
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    so 17.788

  19. rational
    • one year ago
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    Yep! a=17.8

  20. rational
    • one year ago
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    find c also

  21. Babynini
    • one year ago
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    17.200

  22. rational
    • one year ago
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    looks good

  23. rational
    • one year ago
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    look at diagram, what is the maximum distance from sun to ellipse ?

  24. Babynini
    • one year ago
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    a ?

  25. rational
    • one year ago
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    |dw:1433489528413:dw|

  26. rational
    • one year ago
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    try again

  27. Babynini
    • one year ago
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    oh oh sorry, a +c

  28. rational
    • one year ago
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    Yes!

  29. Babynini
    • one year ago
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    yay! so 34.989 is the final answer? :)

  30. Babynini
    • one year ago
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    Well, it asks for it in AU which is 93,000,000 so multiply the answer by that?

  31. rational
    • one year ago
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    nope, our calculation is already in AU 34.989 AU is the final answer

  32. Babynini
    • one year ago
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    ah ok.

  33. Babynini
    • one year ago
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    Hey, really quick. Can you help me know how we solved for a? xD I just put it into my calc but idk if the prof wants me to show work on that part. Better safe than sorry.

  34. Babynini
    • one year ago
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    a-(0.967)(a)=0.587 a-a= 0.587/0.967

  35. rational
    • one year ago
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    |dw:1433489979509:dw|

  36. rational
    • one year ago
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    from the (2)nd equation we have \(c = 0.967a\) plug this in (1)st equation and get \(a-0.967a=0.587\) factor out \(a\) on right hand side \(a(1-0.967)=0.587\) isolate \(a\) \(a=\dfrac{0.587}{1-0.967}\)

  37. rational
    • one year ago
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    use ur calculator to do that division

  38. Babynini
    • one year ago
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    okies!

  39. Babynini
    • one year ago
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    thanks, it makes more sense now :)

  40. Babynini
    • one year ago
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    hey I have one very last problem that i've been stuck on. Could you check it out?

  41. rational
    • one year ago
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    wil try, post..

  42. Babynini
    • one year ago
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    thanks. I'm going to put it on a new feed.

  43. rational
    • one year ago
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    okk

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