Problem S: Planets Beyond the Solar System. On October 15, 2001, a planet was discovered orbiting around the star HD 68988. Its orbital distance was measured to be 1.05 x 10¹⁰ m from the center of the star, and its orbital period was estimated at 6.3 days = 5.44 x 105 sec. What is the mass of HD 68988? Express your answer in kilograms and in terms of our sun's mass (Msun = 1.99 x 1030 kg) Answer: M = 2.31 x 10³⁰ kg = 1.16 Msun-

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Problem 5:
Planets Beyond the Solar System. On October 15, 2001, a planet was discovered orbiting
around the star HD 68988. Its orbital distance was measured to be 1.05 x 10¹0 m from the
center of the star, and its orbital period was estimated at 6.3 days = 5.44 x 105 sec. What is
the mass of HD 68988? Express your answer in kilograms and in terms of our sun's mass
(Msun = 1.99 x 1030 kg) Answer: M = 2.31 x 1030 kg = 1.16 Msun.
Transcribed Image Text:Problem 5: Planets Beyond the Solar System. On October 15, 2001, a planet was discovered orbiting around the star HD 68988. Its orbital distance was measured to be 1.05 x 10¹0 m from the center of the star, and its orbital period was estimated at 6.3 days = 5.44 x 105 sec. What is the mass of HD 68988? Express your answer in kilograms and in terms of our sun's mass (Msun = 1.99 x 1030 kg) Answer: M = 2.31 x 1030 kg = 1.16 Msun.
Fg
KE = mv², Ug
Gm₂mz
r2
==
2
ac
-2²₁v=2²7₁9=
= 27, g = GM, Vesc =
=
Gm₂mz
T
2GM
VR
E = KE + Ug, G = 6.674 x 10-¹1 N. m²/kg²
}
Transcribed Image Text:Fg KE = mv², Ug Gm₂mz r2 == 2 ac -2²₁v=2²7₁9= = 27, g = GM, Vesc = = Gm₂mz T 2GM VR E = KE + Ug, G = 6.674 x 10-¹1 N. m²/kg² }
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