Developed by Robert Hilborn - Published September 4, 2017
|Subject Areas||Mechanics and Astronomy/Astrophysics|
|Levels||First Year and Beyond the First Year|
|Available Implementations||Glowscript and Mathematica|
* Students will be able to explain what properties of orbiting binaries are important in determining the gravitational wave energy emitted by the orbiting objects. (Exercise 1) * Students will be able to explain how Kepler's Third Law links the orbital angular frequency of the binaries to the separation between the binaries. They will be able to generate and evaluate realistic numbers for the orbital frequencies and separations for astrophysical situations. (Exercise 2) * Students will be able to explain quantitatively how much energy is emitted by gravitational waves from orbiting binaries with a specified orbital frequency or specified separation. (Exercise 3) * Students will be able to combine the gravitational wave energy emitted by the binaries with the Newtonian mechanics of the orbits to find how the orbits decay (the separation decreases) over time leading to the in-spiral of the orbits. (Exercise 4) * Students will be able to use, modify or produce a visual simulation of the binary in-spiral and use that to provide evidence to justify the claims that the orbital speed increases as the mass separation decreases. (Exercise 5)
|Time to Complete||120 min|
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Credits and Licensing
Robert Hilborn, "Binary Orbit Inspirals Due to Gravitational Radiation," Published in the PICUP Collection, September 2017.
The instructor materials are ©2017 Robert Hilborn.
The exercises are released under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 license