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Astronomy Assignment #7 Your Name______________________________________ Your Class Meeting Time __________________________ This assignment is due on __________________________ Submit this cover sheet with your assignment. Complete the assigned problems from the text listed below and address the Instructor Assigned Topic. Mathematical problems may be hand written. Write out the problem, show your work in solving the problem and state your answer in a complete sentence. Failure to complete all three of these tasks will result in less than full credit awarded. The Instructor assigned topic must be typed. Text Problems: Unit Number 36 Questions for Review 6, 7, 9, 10 Problems Instructor Assigned Topic: 1. Summarize the material in Unit 35.2 through 35.5 by replacing each paragraph in each section with a single sentence. For example, section 35.2 is composed of seven paragraphs. Thus this section should be summarized in seven sentences. The first paragraph in section 35.2 could be summarized as follows: 35.2 Birth of the Solar System “ The Solar Nebula Theory, first proposed by Immanuel Kant and Pierre Simon Laplace in the 18’th century that describes the origin of the solar system as originating from a disk shaped cloud of gas and dust, explains the flattened shape of our solar system and the common direction of motion of the planets around the Sun.” Continue to compress each paragraph into a single sentence until the section is completed, then compress the next section in like manner. Also include one sentence summaries of the important figures: Fig 35.3, 35.6, 35.7, 35.8 and 35.10 in their respective sections. 2. Complete the attached Sample Calculation using the Doppler Detection Method for the star GJ 3021following the example we did in class. Do not complete this second Instructor Assigned Topic Sample Calculation using the Doppler Detection Method Star : GJ 3021 Spectral Type G6 V Mass 0.9 Solar Masses Radial Velocity Curve -5.61 km/s -5.94 km/s 51,125 d 51,528 d Measured Quantities Period of the star’s “wobble”:_________________________________ Amplitude, K, of the star’s velocity “wobble”: ____________________ Derived Quantities Period of the planet causing the “wobble”:__________________ Semi-major axis of the planet’s orbit from Kepler’s 3rd law: r3 G P 2 M Star 2 4 Semi-major axis of the planet’s orbit = ______________ Orbital Velocity of the planet: 2 vOrbit GM Star r Using momentum conservation, estimate the minimum mass of the planet: M Star K mPlanet vOrbital mPlanet M Star K vOrbital Estimated minimum mass of the planet is ____________ Since the radial velocity curve appears to very much like a sine wave, the orbit must be nearly circular with almost zero eccentricity. Summary Table Planet: ______________ Period of Planet’s Orbit Radius of Planet’s Orbit Minimum Mass of Planet Eccentricity Seconds meters kg Circular or Non-circular Years AU Jupiter Masses --------------------------- In a paragraph, compare the planetary system around GJ 3012 to our own solar system. You may assume that there are other planets around GJ 3021 that have not been detected yet. Is this planetary system like our own? Be quantitative in your comparison. 3