Note to moderator: Read the answerline carefully. Cowell’s method for computing these functions is less accurate than Encke’s method, which periodically rectifies a kind of them. Secular variations in these functions are ignored by ephemerides (“eff-em-AIR-ih-dees”). Gauss used three boundary (15[1])conditions instead of two (15[1])to compute these functions in his modification of Lambert’s problem. These functions are approximately computed within each sphere of influence and stitched together (-5[1])in the (-5[1])(*) patched (-5[1])conic approximation. (-5[2])The Laplace-Runge-Lenz vector is a conserved quantity (10[1])describing these (10[1])curves. (10[6]-5[1])The true (10[1])anomaly (10[3])specifies points (-5[1])along these curves whose extremes are the periapsis and (10[1])the apoapsis. These curves, which are parameterized by inclination, eccentricity, and semimajor axis, (10[1]-5[1])may not be closed in N-body systems. (10[2])For 10 points, name these paths followed by planets (10[1])and satellites. ■END■ (10[7])