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Orbital Mechanics (Kepler's Laws)
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== <span style="color: #FFFFFF;">Applying</span> == '''Modeling 'The Orbital Velocity' (Calculating 'Speed' needed to stay up):''' <syntaxhighlight lang="python"> import math def calculate_orbital_speed(altitude_km, planet_mass_kg, planet_radius_km): """ Shows the speed required to 'Miss the Ground'. """ # G * M / r (where r is radius + altitude) G = 6.674e-11 r_total = (planet_radius_km + altitude_km) * 1000 # convert to meters velocity_mps = math.sqrt((G * planet_mass_kg) / r_total) return f"ORBITAL SPEED: {round(velocity_mps, 2)} m/s. ({round(velocity_mps * 3.6, 2)} km/h)." # Case: International Space Station (400km altitude) print(calculate_orbital_speed(400, 5.972e24, 6371)) </syntaxhighlight> ; Mechanics Landmarks : '''Johannes Kepler (1609)''' → The "First" to "Map" the "True Motion" of planets, "Ending" the "Circle Obsession" of the Greeks. : '''Isaac Newton’s 'Principia' (1687)''' → The "Physics" behind the "Geometry": proving "Gravity" (see Article 21) is what "Drives" Kepler’s Laws. : '''The 'Gravity Assist' (Slingshot)''' → Using a "Planet's Gravity" to "Steal" "Speed" and "Change Direction" (e.g. 'Voyager 1'), "Allowing" for "Deep Space" exploration. : '''Low Earth Orbit (LEO) Congestion''' → The "Modern Problem": too many "Satellites" and "Debris" in the same space, leading to the "Kessler Syndrome" (Collision chain reaction). </div> <div style="background-color: #8B4500; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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