Stars and Galaxies
9th Edition
ISBN: 9781305120785
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Given two extrasolar planets have a resonance of 1:3 and the planet closest to the star has an orbital period of 15 days what is the orbital period of the other planet?
G:06)
the co
te
on Pictor.
The
270
TOI
System
TOI 270 c
Earth
365-day orbit
$1 AU from Sun
Habitable
5.7-day orbit
0.05 AU
$2.4 Earth radii
Largest in
system
59 F, 15 C
300 F, 150 C
TOI 270
TOI 270 d
M3-type dwarf star
TOI 270 b
$11.4-day orbit
0.07 AU
3.4-day orbit
2.1 Earth radii
0.03 AU
Temperate
1.25 Earth radii
Likely rocky
150 F. 67 C
490 F. 254 C
Figure taken from https://exoplanets.nasa.gov/news/1593/tess-scores-hat-trick-with-3-new-worlds/
What makes the TOI-270 system particularly interesting is that the three exoplanets detected this far
(there may be more) have sizes comparable to the Earth.
Compare the orbital period of TOI 270 c and TOI 270 d. For every revolution that TOI 270 d makes around
the host star TOI 270, how many revolutions does TOI 270 c make?
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