Whether earth can be an extrasolar planet when viewed from a planet orbiting a different star.

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Chapter 1, Problem 4DQ

To determine

Whether earth can be an extrasolar planet when viewed from a planet orbiting a different star.

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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?

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?

F2 Planets in the habitable zone of their stars: 1 #3 3 O are so far from their stars that it is very difficult to discover them O are at a temperature where water can exist as a liquid on the planet's surface O are always the planets closest to the star are also called hot Jupiters O cannot exist around stars that are red dwarfs (spectral type M) E G D F3 $ 54 2 4 R F4 LL F DII % 5 Q Search F5 T 9 -0. G < 6 A F6 Y * F7 & 7 H PrtScn U FB 8 Home J