2. Over several months an astronomer observes an exoplanet orbiting a distant star at a distance of 5.934 AU. Its orbit period was projected to be 3.875 years. Convert the orbit radius to meters and period to seconds. Use this information to calculate the mass M of the star in kg and solar mass units (Mo). Star Exoplanet
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- 1. Planet A has an orbital period of 12 years and radius that is 0.033 times the radius of the star. Calculate the fractional dip of the star brightness in the case that planet A is transiting. Give the answer as a number. Quote the formula you use and explain any assumptions you have to make. 2. Planet B has an orbital period of 1 year and is located closer to its star than planet A. You succeed in detecting planet B with the radial velocity technique as well! From this measurement you calculate a minimum mass of planet B to be 75% that of the Earth. (a) Since you detect the planet with both transit method and radial velocity method, what do you know about the inclination of the planetary system? (b) Given this inclination, estimate the true mass of planet B (in units of Earth mass). You do not need to do a detailed calculation, just explain the argument. 3. You also measure the radius of planet B to be the same as Earth, one Earth radius. (a) How does the density of planet B compare…Using 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 AGMm F, r2 F(r = R) The surface gravity g of a body is. The acceleration due to gravity that an object m would feel on the surface of the body. A. Show that the surface gravity of Earth is ge = 9.8 m/s². B. Determine the surface gravity of the Sun. C. Determine the surface gravity of the Sun when it becomes a red giant star, assuming RG 1 AU. Use this answer to explain the significant mass loss rates observed in these objects.
- 19 A planet is detected via the Doppler technique. The velocity change of the star is a measure of A The planet's size and density. B C D E The planet's mass and orbital distance. The planet's orbital period and eccentricity. The planet's mass and composition. The planet's size and orbital distance.Why would astronomically short lifetime of gas and dust disks around protostars pose a problem in understanding how the Jovian planets formed? What modification of the solar nebula theory might solve this problem?1. Consider our Sun - it is in orbit around the center of our Milky Way Galaxy. The velocity of the Sun in its orbit is about 250 km/s. The distance to the center of the galaxy is about 9.1 kpc (kiloparsecs). We can use Kepler's third law to calculate the mass of the galaxy interior to the Sun's orbit. We assume that the orbit is circular so that the semimajor axis is just the radius of the circular orbit = 9.1 kpc. First we need to calculate the number of AU's in 9.1 kpc. (Note that 1 Крс - 1000 рс - 3260 1t yrs and 1 pc - 206,265 AU.) %3D a =r =9.1kpc = (9.1kpc) 1000 pc 206,265AU] 1kpc AU Sun 1pc
- 1. The diameter of the Sun is equal to 1.392*10^9 m, and the distance from the Sun to Saturnis equal to 9.5 AU. Suppose you want to build an exact scale model of the solar system,and you are using a volleyball with average diameter of 21 cm to represent the Sun. a) In your scale model, how far away would Saturn be from the Sun? Give your answer inmeters.b) The actual diameter of Saturn is 116,460 km. What would be Saturn’s diameter in yourscale model? Give your answer in centimeters.1. Distance to moon is about one quarter million miles, how much is that in km? m? 2. Distance to star Proxima Centauri is about 2.4 x 1013 miles, how much is that in ly? AU? pc? 3. Distance to Sun is 93 million miles, how much is that in ly? AU? pc?asap 1. Imagine that an object is moving around the Sun. What will be the orbital period of the object in Earth years if its orbit has a semi-major axis 1.587 AU?
- 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)What is the radius event horizon for Cygnus-X1? a. 21 m b. 21 km c. 21 21 au d. 21 light yearsWhy are we unlikely to find Earth-like planets around halo stars in the Galaxy? A. Halo stars formed in a different way from disk stars. B. Planets around stars are known to be extremely rare. C. Halo stars formed in an environment where there were few heavy elements to create rocky planets. D. Halo stars do not have enough mass to hold onto planets. Is the answer C? Since halo stars are formed early when the galaxy consisted of mainly hydrogen and helium, there are no heavier elements available to create Earth-like planets so just halo stars are formed? Thanks!