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How do you find the periapsis of a parabolic orbit?

Why do we need to choose δ for a periapsis burn?

  • If the intent is to go into orbit around the planet, then Δ must be chosen so that the delta-v burn at periapsis will occur at the correct altitude above the planet.

What is the periapsis of a hyperbola?

  • Spacecraft approach trajectory for a Hohmann transfer to an inner planet from an outer one. P is the periapsis of the approach hyperbola. What happens after crossing the sphere of influence depends on the nature of the mission.

What happens when a spacecraft goes past the periapsis point?

  • If there is no impact with the planet and no drop into a capture orbit around the planet, then the spacecraft will simply continue past periapsis on a flyby trajectory, exiting the sphere of influence with the same relative speed v∞ as it entered]

image-How do you find the periapsis of a parabolic orbit?
image-How do you find the periapsis of a parabolic orbit?
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