How did Apollo reach the Moon, and how did its speed change each step?
Research question: How did Apollo missions leave Earth orbit and reach the Moon, and how did the spacecraft's speed relative to Earth change at each step?
Apollo's route began with a launch into Earth orbit, and a parking orbit let the crew check the spacecraft close to Earth before committing to the trip to the Moon 1716. The translunar injection burn, performed by the restartable J-2 engine in the S-IVB stage, lasted about 350 seconds and changed speed by roughly 3.05 to 3.25 km/s 154. This burn turned a circular low Earth orbit into a highly eccentric one, and the Apollo XV reference reached about 10.845 km/s at engine shutdown 1226. The spacecraft then coasted on a transfer arc with its apogee near the Moon's orbital radius, timed so it arrived as the Moon approached, and lunar orbit insertion later slowed it into lunar orbit 191027. The sources do not give the spacecraft's speed during the coast itself, so that part of the question is only partly answered 19.
Sources
"Luego, después de las dos órbitas de estacionamiento estándar para comprobar la preparación del vehículo para una Inyección translunar (TLI), el S-IVB no pudo reiniciarse."Apolo 6
"Las trayectorias circumlunares también fueron utilizadas por las misiones de Apolo antes de la inserción lunar de la órbita, para proporcionar un retorno libre a la tierra en caso de un mal funcionamiento del sistema de propulsión en el camino a la Luna."Trayectoria circunlunar
"The result shows that the orbit will return the spacecraft to earth (unless the propulsion system is fired), provided the spacecraft is properly incident on the leading side of the moon."Elementary Analysis of Translunar Apollo Orbit (1969)
"En este caso el impulso para el ITL se aplicó durante unos 350 segundos, lo que proveyó un diferencial de velocidad de 3.05 a 3.25 km/s"Inyección translunar
"Se quemó durante 442 segundos (más de lo que jamás se dispararía en una misión lunar nominal)"Apolo 6
"Esto se usó en la misión Apolo 13 , cuando una rotura del tanque de oxígeno 2 requirió regresar a la Tierra sin disparar el motor del Módulo de Servicio , aunque para mantener esta trayectoria fueron requeridos una serie de correcciones de curso usando el motor de descenso del Módulo Lunar ."Trayectoria circunlunar
"el motor del Módulo de mando y servicio sería encendido unos cinco minutos más tarde para reducir la velocidad de la nave"Apolo 6
"Una trayectoria circunlunar , trayectoria translunar o de retorno libre lunar, es un tipo de trayectoria de regreso libre que toma una nave espacial de la Tierra, alrededor del lado lejano de la Luna, y de regreso a la Tierra usando solo la gravedad una vez que se establece la trayectoria inicial."Trayectoria circunlunar
"El Apolo 8 fue la primera misión con tripulación que realizó este procedimiento en 21 de diciembre de 1968 y, por tanto, los miembros de esa tripulación fueron las primeras personas que abandonaron la influencia de la Tierra."Inyección translunar
"El instante de encendido de motores para proveer el impulso es calculado de forma tal que la nave se aproxime al apogeo al aproximarse la Luna. Finalmente la nave entra en la esfera de influencia de la Luna, realizando un paso lunar hiperbólico."Inyección translunar
"En el partido de vuelta, el motor se encenderá una vez más para acelerar la nave para simular la trayectoria de retorno nominal lunar con un ángulo de reingreso de -6,5 grados y la velocidad de 11.100 m/s."Apolo 6
"The large TLI burn , usually performed by a chemical rocket engine, increases the spacecraft's velocity, changing its orbit from a circular low Earth orbit to a highly eccentric orbit ."Trans-lunar injection
"The results show it is operationally feasible to perform a fixed-attitude, fixed delay time abort following a premature.S-IVB shutdown."Preliminary backup abort procedures for aborts occurring during translunar injection - Project Apollo (1967)
"A launch vehicle follows a trajectory to the parking orbit, then coasts for a while, then engines fire again to enter the final desired trajectory."Parking orbit
"For the Apollo lunar missions, TLI was performed by the restartable J-2 engine in the S-IVB third stage of the Saturn V rocket."Trans-lunar injection
"For the Apollo program 's crewed lunar missions, a parking orbit allowed time for spacecraft checkout while still close to home, before committing to the lunar trip."Parking orbit
"1. Launch into earth orbit: In the event of booster malfunction, the crew could terminate the ascent or take control of the booster attitude and manually guide to earth orbit."Apollo experience report: Systems and flight procedures development (1973)
"Using a preliminary parking orbit before final injection can widen this window from seconds or minutes, to several hours."Parking orbit
"As the spacecraft begins coasting on the lunar transfer arc, its trajectory approximates an elliptical orbit about the Earth with an apogee near to the radius of the Moon's orbit."Trans-lunar injection
"2. Translunar injection: If the booster guidance failed, the crew could take control and continue the translunar injection thrusting by guiding to the nominal attitude-angle profile."Apollo experience report: Systems and flight procedures development (1973)
"The Apollo program used parking orbits, for all the reasons mentioned above except those that pertain to geostationary orbits."Parking orbit
"A typical manned lunar mission consists of five major engine firing events."Abort Trajectories for Manned Lunar Missions (2007)
"The burn is timed so that the spacecraft nears apogee as the Moon approaches."Trans-lunar injection
"First the Trans-Lunar Injection (TLI) maneuver is conducted."Abort Trajectories for Manned Lunar Missions (2007)
"the spacecraft is required to depart Earth on a free return trajectory, which is a ballistic Earth-moon-Earth segment that requires no propulsive maneuvers after translunar injection."Optimal lunar orbit insertion from a free return trajectory (2012)
"The primary values utilized were the translunar injection altitude and final velocity which convert to 321.7 kilometers and 10.845 kilometers per second respectively."Abort Trajectories for Manned Lunar Missions (2007)
"Once the TLI burn is completed the spacecraft coasts until the lunar interface has been reached."Abort Trajectories for Manned Lunar Missions (2007)
"The LOI propulsive burn injects the spacecraft into a circum-lunar orbit. The circum-lunar orbit, also known as Low Lunar Orbit (LLO) is typically on the order of 100 km above the lunar surface"Abort Trajectories for Manned Lunar Missions (2007)
"An Apollo TEI burn lasted approximately 150 seconds, providing a posigrade velocity increase of 1,000 m/s (3,300 ft/s)."Trans-Earth injection
"Apollo 8 was the first crewed mission to leave low Earth orbit and to orbit another celestial body, and Apollo 11 was the first crewed mission to land humans on one."Apollo program
"On the Apollo missions, it was performed by the restartable Service Propulsion System (SPS) engine on the Service Module after the undocking of the (LM) Lunar Module if provided."Trans-Earth injection
"The first three lunar missions (Apollo 8, Apollo 10 , and Apollo 11) used a free return trajectory , keeping a flight path coplanar with the lunar orbit, which would allow a return to Earth in case the SM engine failed to make lunar orbit insertion."Apollo program
"It was first performed by the Apollo 8 mission on December 25, 1968."Trans-Earth injection
"Landing site lighting conditions on later missions dictated a lunar orbital plane change, which required a course change maneuver soon after TLI, and eliminated the free-return option."Apollo program
"Uncrewed, second flight of Saturn V, attempted demonstration of trans-lunar injection, and direct-return abort using SM engine; three engine failures, including failure of S-IVB restart."Apollo program
"Apollo 6 was intended to demonstrate the ability of the Saturn V's third stage, the S-IVB , to propel itself and the Apollo spacecraft to lunar distances."Apollo 6
"Trans-Earth injection The SM engine fires to send the CSM back to Earth."Apollo program
"Then, after the standard two orbits to assess the vehicle's readiness for trans-lunar injection (TLI), the S-IVB was ordered to restart, but failed to do so."Apollo 6
"The SPS engine burned for 442 seconds to get to the planned"Apollo 6
"There was now, however, not enough propellant to speed up the atmospheric reentry with a second SPS engine burn"Apollo 6
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