Astronomy Lab Observing Variable Stars Name ______________________ Introduction: In this activity, you will estimate the magnitude of a variable star, determine its light curve and do an analysis of magnitude, range, and period measurements. Your completed report should include this sheet with your calculations AND the graph of W Cyg magnitudes with an estimated light curve sketched on it. Part I. Magnitude Data Complete the chart below by making estimates of W Cyg in class: Day Magnitude 0 24 82 116 144 156 178 Part II. Plotting a Light Curve Use the graph paper provided to plot your estimated magnitudes and sketch a light curve for W Cyg. If you prefer, you may generate a graph using Logger Pro. The advantage of Logger Pro is being able to use the curve fitting options. Determine the length of one period of variability to the nearest day. Record your answer below, and explain how you calculated it. Experimental period of W Cyg ________ How calculated: Next, determine the change in magnitude (range) and enter it below. Remember to use the curve, not the actual data points for this procedure. Use 1 decimal place in your answer. Example: 1.3 Experimental range of magnitude _______ Using data from the entire class, we will together determine the light curve and range of W Cyg. Record the class values below: Class period of W Cyg: _______ Class range of W Cyg: _______ Part III. Statistical Analysis of Data Calculate the error in your measurements and in the class measurements of W Cyg and report the values below. Show your calculation set-ups for full credit! Express your answer to the nearest 1%. The historic values for W Cyg, derived from observations reported to the AAVSO are: Period = 131.1 days Magnitude range = 1.5 Percent Error = (experimental value - AAVSO value ) x 100 AAVSO value Period Error (%) Range Error (%) Your error ___________ ____________ Class error _____________ ____________ Part IV. Questions 1. The error measurements for the class values of data and light curves of W Cyg are usually better than an individual’s error values. Why? 2. What type of magnitude scale is used in this activity, apparent or absolute? 3. Suggest one mechanism that would cause a star to have a variable magnitude.