Developed by Aaron Titus  Published July 17, 2016
DOI: 10.1119/PICUP.Exercise.binarystars
Subject Area  Mechanics 

Level  Beyond the First Year 
Available Implementation  IPython/Jupyter Notebook 
Learning Objectives 
Students will be able to:
 Compute orbits for a binary star system by solving Newton's Second Law numerically. (Exercises 1 and 2)
 Compute angular momentum for a binary star system, write the differential equations for $\dot{\phi}$ and $\ddot{r}$ for the equivalent onebody system, and numerically solve these differential equations to find the orbit of the onebody system. (Exercise 3)
 Use the equivalent onebody system to compute the positions of the two stars in the binary system. (Exercise 4)

Time to Complete  120 min 
These exercises are not tied to a specific programming language. Example implementations are provided under the Code tab, but the Exercises can be implemented in whatever platform you wish to use (e.g., Excel, Python, MATLAB, etc.).
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Credits and Licensing
Aaron Titus, "Binary Stars with Equivalent One Body Problem," Published in the PICUP Collection, July 2016, https://doi.org/10.1119/PICUP.Exercise.binarystars.
DOI: 10.1119/PICUP.Exercise.binarystars
The instructor materials are ©2016 Aaron Titus.
The exercises are released under a Creative Commons AttributionNonCommercialShareAlike 4.0 license