Question

Question 16

Exoplanets A and B are observed to orbit Star X in circular orbits at distances 1.1 AU and 10.2 AU from Star X, respectively ( 1 AU = 1.5 x 10¹¹ m) . The orbital period of Exoplanet A is 244 days. What is the mass of Star X? (1 day = 86400 s.)

Group of answer choices

2.5 x 10³⁰ kg

4.0 x 10³⁰ kg

5.0 x 10³⁰ kg

3.5 x 10³⁰ kg

1.0 x 10³⁰ kg

3.0 x 10³⁰ kg

1.5 x 10³⁰ kg

2.0 x 10³⁰ kg

4.5 x 10³⁰ kg

Question 17

[Continued from Question 16.]

Exoplanet B orbits Star X with an orbital period 10.2 AU. What is the distance of Exoplanet B from Exoplanet A during opposition (when Exoplanet A and Exoplanet B are aligned on a line passing through Star X on the same side of Star X)?

Group of answer choices

22.6 AU

5.1 AU

20.4 AU

1.1 AU

10.2 AU

11.3 AU

2.2 AU

5.7 AU

9.1 AU

Question 18

[Continued from Question 17.]

A moon is observed to orbit Exoplanet B during opposition with a period T = 1.65 days and an angular distance 4.25 x 10^-4 radians (see the figure below).

What is the distance of the moon from Exoplanet A assuming it orbits in a circular orbit?

Group of answer choices

1.16 x 10⁶ km

0.29 x 10⁶ km

2.32 x 10⁶ km

4.64 x 10⁶ km

0.58 x 10⁶ km

0.15 x 10⁶ km

Question 19

[Continued from Question 18.]

What is the mass of Exoplanet B?

Group of answer choices

11.4 x 10²⁷ kg

2.38 x 10²⁷ kg

4.02 x 10²⁷ kg

5.68 x 10²⁷ kg

8.03 x 10²⁷ kg

2.84 x 10²⁷ kg

Answer 1

Question 16 olsa Circumference of orbit, c. 2TRA Orbital Velocity of Exoplanet A, VA GMx RA c Thus, Orbital Period 244 86400 2TRA GMx RA 21081600 = 2TRA САМ, 21081600) 6oo)? UTRA a Ma => Ma = 4T²R G (21081600) 6.67*10 * Mx ² 5* 10 Kg Anowe) * C21081600) 3 RA 2 2 3 2 4*3.14 * (1.1*1.5*10"}} 2 11