## Forbidden Tangential Orbit Transfers Between Intersecting Keplerian OrbitsNational Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division, 1990 - Orbital transfer (Space flight) - 47 pages |

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27 cos ft 2q cos J>i allows equation Angular measure function apogee becomes small Busemann clearing gives q conic section coplanar cos"i q cos(cj>i defined by equation denominator of equation e2 and Q2 e2 from eq e2 will experience e3 q equation 118 equation 130 equation 144 equation 36 equation 59 equation 97 equations 12 experience a singularity extrema of f Final Eccentricity follows forbidden regions Forbidden Tangential Orbit Forbidden Zone given by equation gives Qi hyperbola initial and final Initial Eccentricity initial orbit Intersecting Keplerian Orbits intersecting orbits jump discontinuity Marshall Space Flight measure function defined member of equation negative non-intersecting orbits numerator and denominator perigee principle value Q2 diverges Quantity defined radius Regular Point Rotation angle semi-major axis sin(cj sin(cj>i Solving for e2 Space Flight Center substituting Tangential Orbit Transfers target orbit transfer orbit Transfers Between Intersecting true anomaly V(q-cos valid vanish