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===Parabolic orbits=== If the eccentricity equals 1, then the orbit equation becomes: :<math>r={{h^2}\over{\mu}}{{1}\over{1+\cos\theta}}</math> where: *<math>r\,</math> is the radial distance of the orbiting body from the mass center of the [[central body]], *<math>h\,</math> is [[specific angular momentum]] of the [[orbiting body]], *<math>\theta\,</math> is the [[true anomaly]] of the orbiting body, *<math>\mu\,</math> is the [[standard gravitational parameter]]. As the true anomaly ΞΈ approaches 180Β°, the denominator approaches zero, so that ''r'' tends towards infinity. Hence, the energy of the trajectory for which ''e''=1 is zero, and is given by: :<math>\epsilon={v^2\over2}-{\mu\over{r}}=0</math> where: *<math>v\,</math> is the speed of the orbiting body. In other words, the speed anywhere on a parabolic path is: :<math>v=\sqrt{2\mu\over{r}}</math>
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