Is a spacecraft like jumping off a train, and why do satellites keep falling?
Research question: Where does the jumping-off-a-train picture match a spacecraft's motion, and why does a satellite keep falling around Earth instead of landing?
The verified facts do not mention a jumping-off-a-train analogy, so that picture can only be partly matched. Weightlessness occurs whenever a body experiences only gravitational acceleration, which is free fall 1. The closest comparison the facts offer is a falling elevator, since astronauts on the ISS feel weightless much as someone floats in an elevator falling through a building 9. A satellite keeps falling without landing because free fall can carry a body around a celestial body in an orbit 3, and it stays up by perpetually falling toward Earth at the same rate the surface curves away beneath it 6. Newton's cannon thought experiment makes the same point: at a specific 'magic velocity,' a projectile traces the Earth's curvature and completes an orbit instead of crashing 7.
Sources
"Schwerelosigkeit tritt im Weltall immer dann auf, wenn ein Körper ausschließlich gravitative Beschleunigungen erfährt, so dass er im freien Fall ist."Weltraum
"Ein geostationärer Satellit ist ein künstlicher Erdsatellit , der sich auf einer Kreisbahn 35.786 Kilometern über der Erdoberfläche über dem Äquator befindet."Geostationärer Satellit
"Gegebenenfalls führt der freie Fall den Körper auf einer Umlaufbahn um einen Himmelskörper herum."Weltraum
"dort stationierte Satelliten bewegen sich mit einer Winkelgeschwindigkeit von einer Erdumrundung pro Tag und folgen der Erdrotation mit einer Eigengeschwindigkeit von 3,066 km/s."Geostationärer Satellit
"Die Gravitationskraft der gegenseitigen Anziehung von Massen wirkt überall und über weiteste Distanzen."Weltraum
"It is, in fact, perpetually falling towards the Earth’s surface, but it doesn’t crash because it falls at the same rate at which the Earth curves. This causes the moon to orbit us."Orbital Velocity: Definition, Formula, Equation And Application
"Newton realized that when the ball is propelled at a certain, magic velocity, it will never fall. At this velocity, the ball will trace the linear surface; basically, it travels horizontally, but never vertically, because as soon as it falls, the Earth beneath it curves: the ball falls at the same rate as the Earth curves."Orbital Velocity: Definition, Formula, Equation And Application
"Lastly, remember that while satellites, natural or artificial, do appear to travel horizontally around a planet, they’re actually in perpetual free-fall. As a consequence, they are weightless (not massless)."Orbital Velocity: Definition, Formula, Equation And Application
"This is why its inhabitants float even when they’re only 400 km above the Earth’s surface. Why is this so? For the same reason that the inhabitants of an un-corded elevator falling through a building float or feel weightless."Orbital Velocity: Definition, Formula, Equation And Application
"Earth's Moon orbits at about 1.022 km/s; the ISS, much closer in, races at 7.67 km/s."Orbital Velocity: Definition, Formula, Equation And Application
"For a 100-mile-high orbit around the Earth, the orbital velocity is 17,478 mph."Flight To Orbit - Glenn Research Center | NASA
"A spacecraft flying at a lower orbit must travel faster than a spacecraft flying at a higher orbit."Flight To Orbit - Glenn Research Center | NASA
"Notice that orbital flight is a combination of altitude and horizontal velocity."Flight To Orbit - Glenn Research Center | NASA
"The recent Spaceship 1 flight acquired the necessary altitude to “go into space”, but lacked the horizontal velocity needed to “go into orbit”."Flight To Orbit - Glenn Research Center | NASA
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