I have this problem:(adsbygoogle = window.adsbygoogle || []).push({});

The question says: A binary star system has two stars, each with the same mass as our sun, separated by 1x10^12m. A comet is very far away and essentially at rest. Slowly but surely, gravity pulls the comet toward the stars. Suppose the comet travels along a straight line that passes through the midpoint between the two stars. What is the comet's speed at the midpoint?

I set up the system like this:

where c=cometCode (Text):

c

/ | \

/ | \

/ | \

bs1---m---bs2

m = midpoint

bs1 and bs2 are the binary stars

We know Fxnet=0

And Fynet = 2*Fybs2

Fbs2=mMG/r^2

if we set up an angle @ between the commet and bs2 we can deduce that

sin@=5*10^11/r

so

r=5*10^11/sin@

Fbs2=mMG/(5*10^11/sin@)

Fybs2=Fbs2*cos@

Fybs2=mMG*sin@*cos@/(5*10^11)

Fynet=(2*mMG/(5*10^11))*int(sin@cos@d@,0,pi/2)

Fynet=m*2.655*10^8=ma

a=2.655*10^8

But now what?!?!

Am i doing things right?

Thank you very much!

nitro

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# Gravitational Forces of binary star

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