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What is the application of orbital mechanics?
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The application of ballistics and celestial mechanics to rockets, satellites, and other spacecraft
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Orbital Mechanics
Flashcards based on the Wikipedia article on Orbital Mechanics, covering key concepts, formulas, and historical figures in the field.
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Which laws are typically used to calculate the motion of spacecraft?
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Laws of motion and of universal gravitation derived by Isaac Newton
What is the focus of orbital mechanics compared to celestial mechanics?
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Orbital mechanics focuses on spacecraft trajectories, while celestial mechanics treats the orbit dynamics of systems under the influence of gravity, including both spacecraft and natural astronomical bodies
Which theory is sometimes necessary for calculating orbits with high precision or in high-gravity situations?
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General relativity
Who was the first to successfully model planetary orbits to a high degree of accuracy?
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Johannes Kepler
What is the formula for the velocity of a body in a circular orbit at distance r from the center of gravity of mass M?
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v = √(GM/r)
What is the relationship between the orbital period and the semi-major axis of an orbit?
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The orbital period is equal to that for a circular orbit with the orbit radius equal to the semi-major axis
What is the formula for the escape velocity from a distance r from the center of mass of a body of mass M?
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v = √(2GM/r)
What is the formula for the specific orbital energy of an elliptic orbit?
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ε = v²/2 - μ/r = -μ/2a
What is the formula for the velocity of a body traveling along a hyperbolic trajectory?
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v = √(μ(2/r + 1/|a|))
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