Exoplanet orbital period (b) For the system pictured in the previous problem (and using data given there), suppose that the star has a mass of 0.025 solar masses, and the planet's mass is very small in comparison. Compute the planet's orbit period. Assume the orbit is circular with a radius given by the distance listed in the figure. Express your answer in years.
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- State the definition for a parsec, and derive its value in terms of As- tronomical Units. Convert your answer for the value of the distance of a parsec in Astronomical Units into light years. Be sure to include a large and clearly labeled diagram showing how you arrived at your conclusions. Be sure to show all work!How many orders of magnitude do you need to grow in spatial scale (size) to form a planet? Let's take the extreme ends of this scale, from a dust particle of radius a = 10-6m to the gas giant Jupiter (you can round up its radius to the nearest ten to keep it simple). What else has this difference in order of magnitude? Maybe pick something that's not a length scale. Be creative!Please help me with this question. A=.2
- Kepler's 1st law says that our Solar System's planets orbit in ellipses around the Sun where the closest distance to the Sun is called perihelion. Suppose I tell you that there is a planet with a perihelion distance of 2 AU and a semi-major axis of 1.5 AU. Does this make physical sense? Explain why or why not.The NASA Kepler mission detected a transiting planet that blocks 1.3% of the stars light and the host star has a radius 82% of the Sun's radius (the Sun has a radius of 700,000 km) what is the radius of the exosolar planet in km?Solution from part A: E=-KE = PE/2 Solution from part B: =3/2kt a. (NOTE: Treat the cloud as two equal masses interacting gravitationally across a distance equal to the radius of the cloud.) Use your result from part a to write down the condition for gravitational collapse in terms of the kinetic and potential energies (NOTE: This condition is an INEQUALITY) b. Use your result from part b in order to replace the kinetic energy with its temperature equivalent in your expression for the collapse condition. c. Solve the expression in ii above for the mass.
- Match the missing [blank] word to the correct definition describing elliptical planetary orbits, applying ideas fromKepler’s Laws of Planetary Motion . (If the first correspondsto B, and the next 4 to C, enter BCCCC)1) According to Kepler’s second law,Jupiter will be traveling most slowlyaround the Sun when at [blank].A. semi-major axis2) According to Kepler’s second law,Pluto will be traveling fastest aroundthe Sun when at [blank].B. focus3) Earth orbits in the shape of a/an[blank] around the Sun.C. aphelion4) The mathematical form of Kepler’s third law measures the periodin years, and the [blank] in AU.D. ellipse5) Earth is located at one [blank] ofthe Moon’s orbit.E. eccentricity6) The extent to which Mars’ orbitdiffers from a perfect circle is calledits [blank].F. perihelionMilestone A: Walk 3.2 km (~2 miles) towards northeast. Milestone B: Walk 1.3 km towards southeast. Milestone C: Walk 2.4 km directly south. Surprise at the end! You have arrived at the treasure! Distance: What is the total distance traveled if you walk the distance A, B, C? Give your answer in km and miles. 2. Direction: a. what is meant by “north east?” b. what direction would this be on a cartesian coordinate system? c. What is meant by “south east?” d. What direction would this be on a cartesian coordinate system? e. What about “south”? f. What direction on cartesian coordinate system? 3. Draw the diagram: include drawing the resultant a. What does the resultant vector represent? 4. Calculate: use trigonometry to find the displacement.DO NOT COPY FROM OTHER WEBSITES Correct and detailed answer will be Upvoted else downvoted. Thank you!