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Astrodynamics and Spacecraft Maneuvering

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Apsides: Apogee and Perigee

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Apogee is the point in an orbit most distant from the Earth, and perigee is the point closest to the Earth.

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Kepler's Laws of Planetary Motion

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Kepler's Laws describe how planets orbit the sun: (1) Orbits are elliptical, (2) Planets sweep equal areas in equal times, and (3) Orbital periods squared are proportional to average distance from the sun cubed.

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Escape Velocity

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Escape Velocity is the minimum speed an object must travel to break free from a celestial body's gravitational influence without further propulsion, about 11.2 km/s for Earth.

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Orbital Inclination

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Orbital Inclination is the tilt of an object's orbital plane around a celestial body, measured in degrees from the reference plane (usually the celestial body's equator or the ecliptic).

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Delta-v (Δv)

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Delta-v (Δv) is a measure of the amount of 'effort' to change a spacecraft's velocity, often determined by mission requirements and constraints.

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Orbital Eccentricity

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Orbital Eccentricity measures the deviation of an orbit from a perfect circle (0 means circular, 1 means parabolic trajectory, and greater than 1 is hyperbolic).

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Sun-synchronous Orbit

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A Sun-synchronous Orbit is a nearly polar orbit where a satellite passes over the same part of the Earth at roughly the same solar time each day, maintaining consistent lighting conditions.

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Hohmann Transfer Orbit

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A Hohmann Transfer Orbit is an orbital maneuver that transfers a spacecraft from one circular orbit to another using two engine impulses.

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Retrograde Burn

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A Retrograde Burn is an engine burn in which a spacecraft fires its engines in the opposite direction of its current orbit to slow down or descend to a lower orbit.

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Geostationary Orbit (GEO)

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A Geostationary Orbit is an equatorial orbit where a satellite's orbital period matches Earth's rotation period, making the satellite appear stationary relative to the Earth.

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Bi-elliptic transfer

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A Bi-elliptic transfer involves three engine impulses to transfer a spacecraft to a higher orbit and may be more efficient than a Hohmann Transfer for certain large ratios of orbital radii.

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Tsiolkovsky Rocket Equation

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The Tsiolkovsky Rocket Equation, also known as the ideal rocket equation, relates the velocity of a rocket to its mass ratios and the exhaust velocity of its propellant:

Δv=veln(mimf)\Delta v = v_e \ln\left(\frac{m_i}{m_f}\right)

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Prograde Burn

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A Prograde Burn is an engine burn wherein a spacecraft fires its engines in the direction of its current orbit to speed up or ascend to a higher orbit.

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Orbital Period

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Orbital Period is the time taken for a satellite or celestial body to make one complete orbit around another body.

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Station Keeping

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Station Keeping is a spacecraft control maneuver whereby small thrusts are used periodically to maintain a satellite's assigned orbit within a designated window, counteracting perturbations.

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Oberth Effect

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The Oberth Effect describes the increased efficiency of a rocket engine when it is fired at the point in the orbit with the highest velocity (usually the periapsis).

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Gravity Assist

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Also known as a slingshot maneuver, Gravity Assist uses the relative movement and gravity of a planet or other celestial body to alter the path and speed of a spacecraft.

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Low Earth Orbit (LEO)

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Low Earth Orbit is an Earth-centered orbit with an altitude between 160 to 2,000 kilometers, commonly used for satellites, including the ISS.

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