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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.

Checked 2026-10-19. Only documented and supported facts are used.
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Sources

[1] supported
Luna 1 became the first artificial object to reach Earth's escape velocity.
"Luna 1 became the first artificial object to reach the escape velocity of the Earth,"
Luna 1
[2] supported
The document defines a cosmic velocity as the minimum initial speed that must be given to an object on a celestial body's surface, in the absence of an atmosphere, for it to overcome that body's gravity.
"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
[3] supported
Luna 2 was the first spacecraft to touch the surface of the Moon and the first human-made object to make contact with another celestial body.
"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
[4] supported
Luna 1, launched in 1959, was the first artificial object to reach escape velocity from Earth.
"Luna 1 , launched in 1959, was the first artificial object to attain escape velocity from Earth"
Escape velocity
[5] supported
Luna 1 was nicknamed the "First Cosmic Ship" because of its achievement of 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
[6] supported
In the non-relativistic case, the second cosmic velocity (escape velocity) equals the square root of two times the first cosmic velocity.
"Между первой и второй космическими скоростями в нерелятивистском случае существует простое соотношение:"
Космическая скорость
[7] supported
Luna 2 was launched on a rocket designated Luna 8K72 from the Baikonur launch site and followed a direct path to the Moon.
"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
[8] supported
An object has reached escape velocity when its specific orbital energy (kinetic plus potential energy per unit mass) is zero or greater, which is how the threshold is defined.
"An object has reached escape velocity when the specific orbital energy is greater than or equal to zero."
Escape velocity
[9] supported
Luna 1 was launched on 2 January 1959 by a Luna 8K72 rocket from Baikonur.
"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
[10] supported
The escape (parabolic) velocity is usually defined on the assumption that no other celestial bodies are present, so the Moon's escape velocity is given as 2.4 km/s even though Earth, the Sun and the Galaxy also pull on a body leaving it.
"Вторая космическая скорость (параболическая скорость, скорость убегания) обычно определяется в предположении отсутствия каких-либо других небесных тел."
Космическая скорость
[11] supported
Luna 1, launched in January 1959, was the first partial success of the Luna program and missed the Moon by about 5,965 kilometres.
"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
[12] supported
The escape velocity formula comes from the principle of conservation of energy, so engineers can calculate the required speed from the body's mass and distance.
"The formula for escape velocity can be derived from the principle of conservation of energy."
Escape velocity
[13] supported
Luna 1 was meant to hit the Moon, but a ground control malfunction set the wrong upper-stage burn time, so it missed the Moon by about 5,900 km.
"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
[14] supported
Rockets do not have to reach escape velocity in a single maneuver, and the required speed depends on the altitude at which the spacecraft is accelerated.
"Rockets do not have to reach escape velocity in a single maneuver"
Escape velocity
[15] supported
The Soviet government put the initial speed of the rocket at 11.2 kilometers per second, about 24,588 miles per hour.
"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
[16] supported
The first spacecraft to reach the second cosmic (escape) velocity was the Soviet Luna-1 probe.
"Впервые вторая космическая скорость была достигнута космическим аппаратом Луна-1 (СССР) 2 января 1959 года."
Вторая космическая скорость
[17] supported
The rocket needed a great initial speed to escape Earth's gravitational pull, because it gradually slows down as it climbs higher.
"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
[18] documented
The Soviet Union said its roughly 1.5-ton cosmic rocket had conquered Earth's gravitation, according to its statement on the Saturday before publication.
"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
[19] supported
The escape speed is determined by the body's radius and mass, giving the Earth a value of 11.2 km/s.
"Для Земли вторая космическая скорость равна 11,2"
Вторая космическая скорость
[20] supported
The escape velocity equals the square root of twice GM/R, and it is √2 times the first cosmic velocity.
"Между первой и второй космическими скоростями существует простое соотношение:"
Вторая космическая скорость
[21] documented
The Soviet government announced that the rocket reached about 11.2 kilometers (about 7 miles) per second, which it described as the speed needed to escape Earth's gravitation.
"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
[22] supported
Andrew O. Haley said the rocket's velocity of about 7 miles per second was a record and therefore significant in itself.
"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