## Hodograph Analysis of the Free-flight Trajectories Between Two Arbitrary Terminal Points, Volume 153 |

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5.0 DISTANCE RATIO analysis Angle in Hodograph angular momentum apocenter apses apsidal axes axis base altitude base angle chord QiQ2 chordal and radial chordal components circle at Qi co-terminal trajectories complement complementary group conjugate pair conjugate trajectories Dimensionless Hodograph Plane direction of departure final terminal FLIGHT WITH DISTANCE formulas given base triangle hodograph circle hodograph geometry hodograph origin hodograph shows hodographic representation Hohmann's ellipse hyperbolic trajectories Included Angle initial path angle initial terminal Keplerian conic Keplerian trajectories latus rectum least eccentric trajectory line of origins line QiQ2 low trajectory minimum energy trajectory normal group optimum orbital energy outer forbidden region particular trajectories pericenter physical plane Qi and Q2 radial components RATIO AND INITIAL region of approach Regions of Departure ri+r2 semimajor axis shown in Figure speed circle system of co-terminal Table tangent terminal distances terminal velocities tories trajec trajectory elements true anomaly VARIATION vertex angle