11Mar 2016 by Vincent Summers No Comments

QSO Instructional Videos

Mathematics, Physics
[caption id="attachment_13734" align="alignright" width="340"] Blue = the parabola Black = the Lemniscate of Gerono Violet = the circle Red = QSO (1:1)[/caption] QSO Instructional Videos. Robert G. Chester, guest author at QuirkyScience.com surpassed expectation in his article on quasi-spherical orbits. A mathematics piece that should see application in many areas of physics as well, there is a distinctive flavor of art as well. To aid the reader of his article Quasi-Spherical Orbits – The Most Interesting Curves You’ve Never Heard Of, Robert has provided visual aids in the form of videos that may be seen on YouTube. In fact, they may even be downloaded if the visitor chooses to employ a download application for the purpose. Why are such videos of great value in understanding QSOs? Because most of us…
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22Feb 2016 by Vincent Summers 6 Comments

Quasi-Spherical Orbits – by Author Bob Chester

Mathematics
The Most Interesting Curves You've Never Heard Of by Robert G. Chester [caption id="attachment_13083" align="alignleft" width="340"] Author Robert G. Chester[/caption] Quick, what simple rotations simultaneously generate the circle, the parabola, and the intersection of a cylinder and a sphere? Can these rotations also subsume the hippopede of Eudoxus [1], the limaçon [2], Viviani’s curve [3], rhodonea [4], the lemniscate of Gerono [5], and Fuller’s “great circle railroad tracks of energy” [6]? Quasi-Spherical Orbits, or QSOs, are the dynamic three-dimensional curves that result when a point rotates simultaneously about two or more axes. These intriguing curves provide insights and yield results in mathematics and physics alike. Viviani's Curve [caption id="attachment_13087" align="alignleft" width="133"] Rotation a[/caption] A point rotates in the right hand direction around the z-axis. The orbit is a circle in…
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