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Planetary motion in four and higher dimensions.
Consider the motion of planets in planar circular orbits around heavy stars in our four dimensional spacetime and in spacetimes with additional spatial dimensions. We wish to study the stability of these orbits under perturbations that keep them planar. Such a perturbation would arise, for example, if a meteorite moving on the plane of the orbit hits the planet and changes its angular momentum.
Show that while planetary circular orbits in our four-dimensional world are stable under such perturbations, they are not so in five or higher dimensions. [Hint: You may find it useful to use the effective potential for motion in a central force field.]
How does a database system generate XML document from database data? What is the importance of the order of tables in a SQL statement that uses FOR XML? (at least 200 words)
After the upgrade you had been working on was successful, you determined that you need to install a new plug-and-play printer on a user's computer. The printer uses a USB po
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Suggest difficulties that users might have in configuring the software. Microsoft Office (or one of its open-source alternatives) is a good example to use for this exercise.
A site with a netid of 184.108.40.206/16 uses 20 subnet routers. Suggest a suitable network mask for equally sized subnets, which allows for a degree of expansion in the future.
(a) Find the values of a and b for which 1-x2 +6x can be expressed in the form a-(x+b)2. Hence, find the roots of f. (b) If f(x) = 1 - x2 + 6x has domain 2 x 7, then what is t
Create a hierarchy chart depicting the chosen situation, develop a flowchart and provide a brief explanation for it and develop an algorithm and provide a brief explanation fo
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