- Babynini

Halp!

- katieb

See more answers at brainly.com

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.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- 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

I'm not sure where to even start...

- Babynini

@zepdrix any ideas?

Looking for something else?

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

## More answers

- zepdrix

Mmmm no :x I don't remember eccentricity, sec i try to read

- rational

\[e=\frac{c}{a}\]

- Babynini

yep yep. I'm not sure how to apply formulas here hah

- Babynini

I really don't know o.0 i've been trying to manipulate it but it's not working much.

- rational

|dw:1433488489699:dw|

- 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

wait, where's the 0.587 related to?

- rational

it is shortest distance from the focus(sun) to the ellipse(path of halley comet)

- Babynini

ah, k. I see now.

- Babynini

so now what do we do?
c=0.967(a)

- Babynini

and plug that into the previous statment?
a-c=0.587
a-(0.967)*
(a)=0.587

- Babynini

(sorry those last two were meant to be on the same line)

- rational

solve a

- Babynini

587/33 ?

- Babynini

so 17.788

- rational

Yep! a=17.8

- rational

find c also

- Babynini

17.200

- rational

looks good

- rational

look at diagram, what is the maximum distance from sun to ellipse ?

- Babynini

a ?

- rational

|dw:1433489528413:dw|

- rational

try again

- Babynini

oh oh sorry, a +c

- rational

Yes!

- Babynini

yay! so 34.989 is the final answer? :)

- Babynini

Well, it asks for it in AU which is 93,000,000
so multiply the answer by that?

- rational

nope, our calculation is already in AU
34.989 AU is the final answer

- Babynini

ah ok.

- 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

a-(0.967)(a)=0.587
a-a= 0.587/0.967

- rational

|dw:1433489979509:dw|

- 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

use ur calculator to do that division

- Babynini

okies!

- Babynini

thanks, it makes more sense now :)

- Babynini

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

- rational

wil try, post..

- Babynini

thanks. I'm going to put it on a new feed.

- rational

okk

Looking for something else?

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