In a certain binary-star system, each star has the same mass as our Sun, and they revolve about their center of mass. The distance between them is the same as the distance between Earth and the Sun.What is their period of revolution in years
Answers
Answer:
he expression of the force is,
F
=
G
m
2
R
2
The expression of the centripetal force is,
F
=
m
v
2
R
1
On equating the above equation.
2
m
v
2
R
=
G
m
2
R
2
v
=
√
G
m
2
R
The expression of period of revolution is,
T
=
2
π
R
1
v
T
=
2
π
R
√
2
R
2
√
G
m
T
=
√
2
π
√
R
3
G
m
The expression of time of to reach the sun in periods is,
1
y
e
a
r
=
2
π
√
R
3
G
m
From the above expression the revolution in years is calculated as.
T
=
√
2
1
2
y
e
a
r
s
T
=
0.71
y
e
a
r
s
Thus, the period of revolution in years is
0.71
y
e
a
r
s
.
Explanation:
Answer:
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ANSWER
GM
2π
r
3/2
=1 yr
r
2
G(M)(M)
=
(r/2)
Mv
2
∴v=
2r
GM
T=
v
2π(r/2)
=
2r
GM
πr
=
2
(
GM
π
)r
3/2
=
2
(
2
1
)yr [as
GM
πr
3/2
=
2
1
yrs]
=0.71yr
