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 (10[1])of Tisserand’s parameter. (10[1])The shape of these entities may be described (10[2])by the (10[1])Laplace–Runge–Lenz (10[3])vector. (10[7])Bertrand’s (10[1])theorem (10[2])states (10[1])that these (10[2])entities (10[1])are only necessarily closed for two power-law potentials. (10[1])The vis-viva (10[2])equation (10[1])describes (10[1])bodies moving (10[1])along these (10[1])entities, (10[2]-5[1])which are classified as (10[1])hyperbolic (10[5])when the dimensionless (10[2])parameter (10[1]-5[1])epsilon (-5[1])is greater than one. (10[1]-5[1])An object’s period (10[1])is proportional (10[1])to the three-halves power (-5[1])of these (10[1])entities’ semimajor (10[2])axis (-5[1])by Kepler’s (10[4])third law. (10[8])For (-5[1])10 points, (10[2])name (10[1])these (10[2])trajectories (10[3])of objects (10[1])experiencing (10[1]0[1])an attractive central (10[1])force. ■END■ (10[6]0[1])