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I'm new to PF, but in the shotr time ( a little more than 24 hours) since I registered, I've enjoyed myself. Some people hear might (or might not) be interested in the following.
In order to teach myself some Java, I have developed an interactive animation that shows orbits (timelike geodesics parametrized by proper time) about Schwarzschild black holes. The animation takes as input from the user the initial r coordinate, and the initial speed and angle with respect to an orthonormal frame of a platform hovering (and experiencing an incredibly large "g-force") at that r value.
The animation sits in a frame in a bunch of hyperlinked html files. These files contain a number of short explanations and write-ups for some suggested virtual experiments that can be performed with the package.
Experiment 1: Falling Into a Black Hole
Experiment 2: Escape Velocity
Experiment 3: Investigation of Stable Circular Orbits
Experiment 4: Investigation of Unstable Circular Orbits
Experiment 5: Investigation of Spiral Orbits
Experiment 6: Gravity Bends Light Rays!
Experiment 7: Boundaries Between Orbits of Various Kinds
Experiment 8: Orbital Precession and Closed Orbits
I've had a lot of fun (and some frustrations) developing and playing with the package. If anyone else out there in cyberspace thinks that they might enjoy fooling around with the animation, I have attached a zipped file that contains all the necessary files. To use the animation, unzip the zipped file, making sure that all files are extracted into the same folder. (A new folder should probably created before doing this.) Click on the file blackHoleOrbits.html to view and interact with the animation.
The animation is certainly not at a professional level, and it has glitches and warts. For example, on some machines, The Trail checkbox, which should be to the right of theAngle input field, does not appear.
Regards,
George
In order to teach myself some Java, I have developed an interactive animation that shows orbits (timelike geodesics parametrized by proper time) about Schwarzschild black holes. The animation takes as input from the user the initial r coordinate, and the initial speed and angle with respect to an orthonormal frame of a platform hovering (and experiencing an incredibly large "g-force") at that r value.
The animation sits in a frame in a bunch of hyperlinked html files. These files contain a number of short explanations and write-ups for some suggested virtual experiments that can be performed with the package.
Experiment 1: Falling Into a Black Hole
Experiment 2: Escape Velocity
Experiment 3: Investigation of Stable Circular Orbits
Experiment 4: Investigation of Unstable Circular Orbits
Experiment 5: Investigation of Spiral Orbits
Experiment 6: Gravity Bends Light Rays!
Experiment 7: Boundaries Between Orbits of Various Kinds
Experiment 8: Orbital Precession and Closed Orbits
I've had a lot of fun (and some frustrations) developing and playing with the package. If anyone else out there in cyberspace thinks that they might enjoy fooling around with the animation, I have attached a zipped file that contains all the necessary files. To use the animation, unzip the zipped file, making sure that all files are extracted into the same folder. (A new folder should probably created before doing this.) Click on the file blackHoleOrbits.html to view and interact with the animation.
The animation is certainly not at a professional level, and it has glitches and warts. For example, on some machines, The Trail checkbox, which should be to the right of theAngle input field, does not appear.
Regards,
George