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Speed of Sun Around Galaxy


IsaacAsimov

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Here's a problem that I found a solution for:

 

How fast does the Sun travel around the Galaxy (Milky Way)?

 

Find: v

Given: radius from center of Galaxy to Sun, r (CS)=2.5E17 km, time it takes Sun to travel around Galaxy, t=2.5E8 y

 

s=2(pi) x r(CS)=2pi(2.5E17 km)=1.57E18 km

t=2.5E8 y (365 d/y)(24 h/d)=2.19E12 h

v=s/t=1.57E18 km/2.19E12 h

=717 258.6 km/h

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Problem: How many times has the Sun revolved around the Galaxy in the last 1 billion years?

 

Solution:

Find: n

Given: Total time taken t2=1 billion y=1E9 y (365 d/y)(24 h/d)=8.76E12 h

Time to travel once around Galaxy t1=2.19E12 h

n=t2/t1=8.76E12 h/2.19E12 h = 4 times exactly

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Problem: How many times has the Sun revolved around the Galaxy in the last 1 billion years?

 

Solution:

Find: n

Given: Total time taken t2=1 billion y=1E9 y (365 d/y)(24 h/d)=8.76E12 h

Time to travel once around Galaxy t1=2.19E12 h

n=t2/t1=8.76E12 h/2.19E12 h = 4 times exactly

 

that is not a surprise since your input was

t=2.5E8 y
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