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Understanding Orbits and Trajectories

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Tsiolkovsky Rocket Equation

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Relates the delta-v (Δv) to the exhaust velocity and the initial and final mass of a rocket.

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Delta-v (Δv)

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The change in velocity required to perform a maneuver, such as changing orbits or achieving escape velocity.

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Orbital Eccentricity

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A measure of how much an orbit deviates from being circular; ranges from 0 (circular) to 1 (parabolic trajectory).

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Periapsis

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The point in an orbit closest to the central body.

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Kepler's Laws of Planetary Motion

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Three laws describing the motion of planets around the sun: orbits are ellipses (1st), equal areas in equal times (2nd), and a relation between the orbital period and semi-major axis (3rd).

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Gravity Assist

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A technique where a spacecraft gains or loses orbital energy by passing close to a planet or moon.

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Lagrange Points

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Five positions in an orbital configuration where a small object affected only by gravity can maintain a stable position relative to two larger objects (e.g., the Earth and the Moon).

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Geostationary Orbit (GEO)

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A circular orbit around Earth with an orbital period that matches Earth's rotation on its axis, resulting in a stationary position over the equator.

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Oberth Effect

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A phenomenon where a spacecraft's use of propulsion is more effective when traveling at high speeds, typically at periapsis in a highly elliptical orbit.

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Node (Ascending/Descending)

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Points where an orbit crosses a reference plane, with the ascending node being where the object moves northward through the plane, and the descending node where it moves southward.

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Inclination

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The angle between the orbital plane of an object and the reference plane (usually the equatorial plane of the body being orbited).

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Hohmann Transfer Orbit

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A two-impulse, energy-efficient orbital maneuver to transfer between two coplanar orbits using an elliptical transfer orbit.

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Escape Velocity

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The minimum velocity needed for an object to break free from the gravitational pull of a celestial body, without further propulsion.

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Apoapsis

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The point in an orbit farthest from the central body.

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Semi-major axis

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The longest radius of an elliptical orbit, a key parameter that defines the size of the orbit.

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