Babynini
  • Babynini
Halp!
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Babynini
  • Babynini
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
Babynini
  • Babynini
I'm not sure where to even start...
Babynini
  • Babynini
@zepdrix any ideas?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

zepdrix
  • zepdrix
Mmmm no :x I don't remember eccentricity, sec i try to read
rational
  • rational
\[e=\frac{c}{a}\]
Babynini
  • Babynini
yep yep. I'm not sure how to apply formulas here hah
Babynini
  • Babynini
I really don't know o.0 i've been trying to manipulate it but it's not working much.
rational
  • rational
|dw:1433488489699:dw|
rational
  • rational
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
Babynini
  • Babynini
wait, where's the 0.587 related to?
rational
  • rational
it is shortest distance from the focus(sun) to the ellipse(path of halley comet)
Babynini
  • Babynini
ah, k. I see now.
Babynini
  • Babynini
so now what do we do? c=0.967(a)
Babynini
  • Babynini
and plug that into the previous statment? a-c=0.587 a-(0.967)* (a)=0.587
Babynini
  • Babynini
(sorry those last two were meant to be on the same line)
rational
  • rational
solve a
Babynini
  • Babynini
587/33 ?
Babynini
  • Babynini
so 17.788
rational
  • rational
Yep! a=17.8
rational
  • rational
find c also
Babynini
  • Babynini
17.200
rational
  • rational
looks good
rational
  • rational
look at diagram, what is the maximum distance from sun to ellipse ?
Babynini
  • Babynini
a ?
rational
  • rational
|dw:1433489528413:dw|
rational
  • rational
try again
Babynini
  • Babynini
oh oh sorry, a +c
rational
  • rational
Yes!
Babynini
  • Babynini
yay! so 34.989 is the final answer? :)
Babynini
  • Babynini
Well, it asks for it in AU which is 93,000,000 so multiply the answer by that?
rational
  • rational
nope, our calculation is already in AU 34.989 AU is the final answer
Babynini
  • Babynini
ah ok.
Babynini
  • Babynini
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.
Babynini
  • Babynini
a-(0.967)(a)=0.587 a-a= 0.587/0.967
rational
  • rational
|dw:1433489979509:dw|
rational
  • rational
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 \(a\) \(a=\dfrac{0.587}{1-0.967}\)
rational
  • rational
use ur calculator to do that division
Babynini
  • Babynini
okies!
Babynini
  • Babynini
thanks, it makes more sense now :)
Babynini
  • Babynini
hey I have one very last problem that i've been stuck on. Could you check it out?
rational
  • rational
wil try, post..
Babynini
  • Babynini
thanks. I'm going to put it on a new feed.
rational
  • rational
okk

Looking for something else?

Not the answer you are looking for? Search for more explanations.