These entities are the input to an inverse problem solved by Binet’s equation. Using Delaunay variables to parametrize these entities, one can show the conservation of Tisserand’s parameter. The shape of these entities may be described by the Laplace–Runge–Lenz vector. Bertrand’s theorem states that these entities are only necessarily closed for two power-law potentials. The vis-viva equation describes bodies moving along these entities, which are classified as hyperbolic when the dimensionless parameter epsilon is greater than one. An object’s period is proportional to the three-halves power of these entities’ semimajor axis by Kepler’s third law. For 10 points, name these trajectories of objects experiencing an attractive central force. ■END■
ANSWER: orbits [prompt on trajectories until read; prompt on ellipses by asking “what physical path is that an example of?”]
<Editors, Physics>
= Average correct buzz position