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Characteristic energy
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==Non-escape trajectory== A spacecraft with insufficient energy to escape will remain in a closed orbit (unless it intersects the [[central body]]), with <math display="block">C_3 = -\frac{\mu}{a} < 0</math> where *<math>\mu = GM</math> is the [[standard gravitational parameter]], *<math>a</math> is the [[semi-major axis]] of the orbit's [[ellipse]]. If the orbit is circular, of radius ''r'', then <math display="block">C_3 = -\frac{\mu}{r}</math>
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