Astronomy: Work shown would be appreciated!

Question

Question

Astronomy:

Work shown would be appreciated!

science physics

Answer 1

Answer #1

T² = [4 $\pi$ ²/GM] r³
T = SQRT[4 $\pi$ ²/GM] r^3/2

G = 6.674 x 10^-11 m³ kg^-1 s^-2
M = 5.972 x 10²⁴ kg
SQRT[4 $\pi$ ²/GM] = SQRT[4 $\pi$ ²/(6.674 x 10^-11) x (5.972 x 10²⁴)]
= 3.147 x 10^-7

a) Echosar 12
r = 4.2164 x 10⁷ m
T = (3.147 x 10^-7) x (4.2164 x 10⁷)^3/2
= (3.147 x 10^-7) x (2.738 x 10¹¹)
= 8.617 x 10⁴ s

b) Galaxy 17
Since this have the same r as that of the previous case,
T = 8.617 x 10⁴ s

c) Direct TV12
r = 4.2163 x 10⁷ m
T = (3.147 x 10^-7) x (4.2163 x 10⁷)^3/2
= (3.147 x 10^-7) x (2.738 x 10¹¹)
= 8.616 x 10⁴ s

d) THOR ABLESTAR DEB
r = 7.883 x 10⁶ m
T = (3.147 x 10^-7) x (7.883 x 10⁶)^3/2
= (3.147 x 10^-7) x (2.216 x 10¹⁰)
= 6.966 x 10³ s

Answer 2

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