Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 8, Problem 7P
To determine
The orbital period for Gliese 851d.
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While doing a transit study, you find an exoplanet around a nearby Sun-like star. The time between transits is P= 32days. During a transit, the time from first to second contact is t2−t1= 30minutes, and the time from fist to third contact is t3−t1= 5hours. The depth of the transit is δF/F= 0.01. During follow-up radial velocity measurements of the star, you find that its peak radial velocity is vr= 65m s−1. What is the radius of the planet? What is the mass of the planet? What is the semimajor axis of the planet’s orbit?
Consider the attached light curve for a transiting planet observed by the Kepler mission. If the host star is identical to the sun, what is the radius of
this planet? Give your answer in terms of the radius of Jupiter.
Brightness of Star
Residual Flux
0.99
0.98
0.97
0.006
0.002
0.000
-8-881
-0.06
-0.04
-0.02
0.00
Time (days) →
0.02
0.04
0.06
A certain binary system consists of two stars that have equal masses and revolve in circular orbits around a fixed point half-way between them.
If the orbital velocity of each star is v=186 km/s and the orbital period of each is 11.3 days, calculate the mass M of each star. Give your answer in units of the solar mass, 1.99×1030 kg (e.g. if each planet's mass is 3.98×1030 kg, you would answer "2.00").
Chapter 8 Solutions
Loose Leaf For Explorations: Introduction To Astronomy
Ch. 8 - Name the eight planets in order of increasing...Ch. 8 - (8.1) What is Pluto, and why isnt it a planet?Ch. 8 - Where are the asteroid belt, the Kuiper belt, and...Ch. 8 - Prob. 4QFRCh. 8 - Prob. 5QFRCh. 8 - Prob. 6QFRCh. 8 - What properties, apart from position, distinguish...Ch. 8 - How old is the Solar System? How do we know?Ch. 8 - Prob. 9QFRCh. 8 - Prob. 10QFR
Ch. 8 - Prob. 11QFRCh. 8 - Prob. 12QFRCh. 8 - Prob. 13QFRCh. 8 - Prob. 14QFRCh. 8 - Prob. 15QFRCh. 8 - Prob. 16QFRCh. 8 - Prob. 17QFRCh. 8 - Prob. 18QFRCh. 8 - Prob. 19QFRCh. 8 - Prob. 20QFRCh. 8 - Prob. 21QFRCh. 8 - Prob. 22QFRCh. 8 - Prob. 1TQCh. 8 - Prob. 2TQCh. 8 - Prob. 3TQCh. 8 - Prob. 4TQCh. 8 - By what factor would the Sun be shrunk to be the...Ch. 8 - (8.1) Calculate the densities of Venus and Jupiter...Ch. 8 - Look up the masses and radii of Mercury and...Ch. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 1TYCh. 8 - Prob. 2TYCh. 8 - Prob. 3TYCh. 8 - Prob. 4TYCh. 8 - Prob. 5TYCh. 8 - The numerous craters we see on the solid surfaces...Ch. 8 - Prob. 7TY
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- The orbital radius of one exoplanet is 5.34 X 1011 m, with a period of 1270 Earth days. What is the mass of the star around which the exoplanet revolves? Please draw a FBD and DO NOT use Keplers third law T2 = (4π2/GM) r3 (do not use this formula even if you are going to rearrage it)arrow_forwardIf a transit depth of 0.001 (or 0.1% decrease in brightness) is detected for a star with a radius of 0.3 RSun, what would the radius of the exoplanet be in units of RSun?arrow_forwardAn exoplanetary system has two known planets. Planet X orbits in 290 days and Planet Y orbits in 145 days. Which planet is closest to its host star? If the star has the same mass as the Sun, what is the semi-major axis of the orbits for Planets X and Y?arrow_forward
- When astronomers found the first giant planets with orbits of only a few days, they did not know whether those planets were gaseous and liquid like Jupiter or rocky like Mercury. The observations of HD 209458 settled this question because observations of the transit of the star by this planet made it possible to determine the radius of the planet. Use the data given in the text to estimate the density of this planet, and then use that information to explain why it must be a gas giant.arrow_forwardUse this light curve of a star with a transiting exoplanet to answer the following. If the exoplanet is orbiting a star identical to our own Sun, what is its average orbital distance, in AU? What is the period in years of the transiting exoplanet? Use this light curve of a star with a transiting exoplanet to answer the following questions. Brightness 0 V V V B 5 10 15 20 Time (months) 25 30 35arrow_forwardWhich of these views cannot be used when trying to detect exoplanets using the radial velocity method? XYZ all of these can be observed using the radial velocity method none of these can be observed using the radial velocity method? X Y Z all of these can be observed using the radial velocity method none of these can be observed using the radial velocity method Figure X to Earth Figure Y to Earth Figure Z to Earth Which of the systems above could not be detected using the transit method?arrow_forward
- The two planets orbiting the nearby star Gliese 876 are observed to be in 2:1 resonance (i.e., the period of one is twice that of the other). The inner planet has an orbital period of 30 days. If the star’s mass is the mass of the Sun, calculate the semimajor axis of the outer planet’s orbit.arrow_forwardThe orbital radius of one exoplanet is 5.34 X 1011 m, with a period of 1270 Earth days. What is the mass of the star around which the exoplanet revolves?arrow_forwardPluto is considered a binary dwarf planet system with its companion Charon. Pluto has a mass of 1.303 x 1022 kg and mean radius of 1188.3 km. Charon has a mass of 1.586 x 1021 kg and mean radius of 606 km. The binary 5. system has a semi-major axis with the sun of 39.482 AU and there is an average distance of 19,591.4 km between the two dwarf planets. What is the system's center of mass with respect to Pluto, and why does this mean that Charon is a binary system and not a moon?arrow_forward
- 9) An interstellar cloud fragment 0.2 light-year in diameter is rotating at a rate of one revolution per million years. It now begins to collapse. Assuming that the mass remains constant, estimate the cloud's rotation period when it has shrunk to (a) the size of the solar nebula, 100 AU across, and (b) the size of Earth's orbit, 2 AU across. (answers: 0.016 revolutions per year, and an orbital period of 62.5 years, This is 40 revolutions per year, and an orbital period of 0.025 years, or just a little over 9 days)arrow_forwardIn 2004, astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star HD179949. The orbit was just 6.4x106 km (about 9 less than the orbit of Mercury) and the planet takes 3.1 days to make one circular orbit. The mass of the star is Answerx_______1030 kg. (Give the number before the exponent.)arrow_forwardUsing high resolution adaptive optical techniques, observations of a nearby (9.5 pc) cool star of mass 0.2 solar masses indicate the presence of a small rocky exoplanet in a circular orbit with a radius of 0.01 arcseconds. Using Kepler's Laws, estimate the period of the exoplanet's orbit in days. select units Aarrow_forward
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