Which rocket first escaped Earth, and how did engineers know how much speed?
Research question: What was the first rocket flight to add enough speed to escape Earth entirely, and how did engineers know how much speed to add?
The records show that Luna 1, launched on 2 January 1959 by a Luna 8K72 rocket from Baikonur, was the first artificial object to reach Earth's escape velocity 194. Escape velocity is defined as the point where an object's specific orbital energy, kinetic plus potential energy per unit mass, is zero or greater 8. Engineers could calculate the required speed from the body's mass and distance, because the formula comes from conservation of energy 12. For Earth, the escape speed is 11.2 km/s, and it is √2 times the first cosmic velocity 196. The records do not show the specific calculation used for Luna 1's burn, so the answer on how that exact speed was set is only partly documented.
Sources
"Luna 1 became the first artificial object to reach the escape velocity of the Earth,"Luna 1
"По определению, космическая скорость — это минимальная начальная скорость, которую необходимо придать объекту (например, космическому аппарату , далее КА) на поверхности небесного тела в отсутствие атмосферы , чтобы:"Космическая скорость
"It was the first spacecraft to touch the surface of the Moon , and the first human-made object to make contact with another celestial body."Luna 2
"Luna 1 , launched in 1959, was the first artificial object to attain escape velocity from Earth"Escape velocity
"Luna 1 was also referred to as the "First Cosmic Ship", [ 5 ] in reference to its achievement of Earth escape velocity ."Luna 1
"Между первой и второй космическими скоростями в нерелятивистском случае существует простое соотношение:"Космическая скорость
"The spacecraft was launched on 12 September 1959 by the Luna 8K72 s/n I1-7B rocket. It followed a direct path to the Moon."Luna 2
"An object has reached escape velocity when the specific orbital energy is greater than or equal to zero."Escape velocity
"Launch date 2 January 1959, 16:41:21 ( 1959-01-02UTC16:41:21Z ) UTC [ 1 ] Rocket Luna 8K72 Launch site Baikonur , Site 1/5"Luna 1
"Вторая космическая скорость (параболическая скорость, скорость убегания) обычно определяется в предположении отсутствия каких-либо других небесных тел."Космическая скорость
"Luna 1 was the fourth launch attempt and the first partial success of the program. It launched on 2 January 1959 and missed the Moon by 5,965 kilometres (3,706 mi) ."Luna 2
"The formula for escape velocity can be derived from the principle of conservation of energy."Escape velocity
"Initially intended as a Moon impactor , a malfunction in the ground-based control system caused an error in the upper stage rocket's burn time, and the spacecraft missed the Moon by 5,900 km"Luna 1
"Rockets do not have to reach escape velocity in a single maneuver"Escape velocity
"government put the initial speed of the rocket at 11.2 kilometers a second —about 24,588 miles an hour."Image 1 of The Key West citizen (Key West, Fla.), January 4, 1959
"Впервые вторая космическая скорость была достигнута космическим аппаратом Луна-1 (СССР) 2 января 1959 года."Вторая космическая скорость
"The rocket must have great ' initial speed to escape from the earth’s gravitational pull."Image 1 of The Key West citizen (Key West, Fla.), January 4, 1959
"expressed confidence Saturday night its 1%-ton cosmic rocket has conquered earth's gravitation"Image 1 of The Key West citizen (Key West, Fla.), January 4, 1959
"Для Земли вторая космическая скорость равна 11,2"Вторая космическая скорость
"Между первой и второй космическими скоростями существует простое соотношение:"Вторая космическая скорость
"The government announce announcement - ment announcement said the rocket attained a speed of 11.2 kilometers (about 7 miles) a second, de described - scribed described as the impetus needed to escape the earth’s gravita gravitation."Image 6 of Evening star (Washington, D.C.), January 4, 1959
"said the rock rocket’s - et’s rocket’s velocity—7 miles a second —is a record and therefore sig significant - nificant significant in itself."Image 6 of Evening star (Washington, D.C.), January 4, 1959
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