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What did Newton's cannonball idea show, and how did Sputnik use it?

Research question: What did Isaac Newton's cannonball thought experiment suggest about orbits, and how did early rocket pioneers and the Sputnik launch build on it?

Newton's cannonball thought experiment suggests that a projectile fired horizontally with enough speed keeps falling around the Earth instead of hitting the ground, which effectively describes an orbit 79. Increasing the firing speed made the object travel farther before landing, because the Earth's surface curves away beneath it 10. Early rocket pioneers achieved orbital injection by firing engines parallel to the atmosphere to gain enough speed to stay above it 12, and Sputnik I, launched on October 4, 1957, was carried into orbit by a rocket and reached 360 miles out 514. The records do not explicitly connect Sputnik to Newton or to earlier rocket pioneers, so that link is only partly documented 1. The newest fact is from May 16, 1958, roughly 68 years before October 2026 46.

Checked 2026-10-22. Only documented and supported facts are used.
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Sources

[1] supported
Moscow radio reported that Sputnik II, carrying a female dog named Kudryavka, was circling the earth just over 1,000 miles out in space. The document does not connect this to Newton or to earlier rocket pioneers.
"Moscow radio said today the half-ton satellite carrying a small female dog named Kudryavka (Curly) is circling the earth just over 1,000 miles out in space."
Image 1 of The Nome nugget (Nome, Alaska), November 4, 1957
[2] supported
The Soviet Union's second Sputnik satellite was given an orbital velocity of about 8,000 meters per second (about 17,840 miles per hour).
"The satellite has been given an orbital velocity of about 8,000 meters per second (17,840 miles an hour)."
Image 4 of Evening star (Washington, D.C.), November 4, 1957
[3] documented
The Sputnik satellite was still circling the Earth once every 96.1 minutes about a week after launch.
"still circling the earth once every 96.1 minutes"
Image 1 of The Nome nugget (Nome, Alaska), October 11, 1957
[4] documented
Sputnik III completed one orbit in about 106 minutes, according to Moscow radio's broadcast statistics.
"Time of orbit—106 minutes."
Image 1 of The Nome nugget (Nome, Alaska), May 16, 1958
[5] supported
Sputnik was carried into orbit by a rocket, and Moonwatch observers saw a part of that rocket still in orbit alongside the satellite.
"a part of the rocket that propelled the moonlet into its orbit"
Image 1 of The Nome nugget (Nome, Alaska), October 11, 1957
[6] supported
Sputnik III's orbit was reported at a height of 1,168 miles.
"Height of orbit—1,168 miles."
Image 1 of The Nome nugget (Nome, Alaska), May 16, 1958
[7] supported
Newton's cannonball thought experiment illustrates that a projectile launched with sufficient horizontal velocity will fall around the Earth rather than hitting the ground, effectively describing an orbit.
"Newton's cannonball is a thought experiment that interpolates between projectile motion and uniform circular motion. ... However, if the cannonball is launched with an even larger initial velocity, then the curvature of the Earth becomes significant: the ground itself will curve away from the falling cannonball."
Newton's laws of motion
[8] supported
Many orbits, such as the Moon's around the Earth, can be approximated by uniform circular motion where gravity acts as the centripetal force.
"Many orbits , such as that of the Moon around the Earth, can be approximated by uniform circular motion. In such cases, the centripetal force is gravity"
Newton's laws of motion
[9] supported
Newton's cannonball thought experiment illustrates that an object fired horizontally from a high mountain at sufficient speed will curve around the Earth rather than hit the ground, effectively entering orbit.
"To illustrate an orbit around a planet, the Newton's cannonball model may prove useful (see image). This is a thought experiment , in which a cannon on top of a tall mountain is able to fire a cannonball horizontally at any chosen muzzle speed."
Orbit
[10] supported
In the Newton's cannonball model, increasing the firing speed causes the cannonball to travel farther before hitting the ground because the Earth's surface curves away from the falling object.
"As the firing speed is increased, the cannonball hits the ground farther (B) away from the cannon, because while the ball is still falling towards the ground, the ground is increasingly curving away from it (see first point, above)."
Orbit
[11] supported
The document notes that the motions described in the cannonball thought experiment, even when the object hits the ground, are technically portions of elliptical orbits.
"All these motions are actually technically "orbits"—they are describing a portion of an elliptical path around the"
Orbit
[12] supported
Early rocket pioneers and spacecraft achieve orbital injection by firing their engines parallel to the atmosphere to gain enough speed to stay above it.
"...and gradually pitch over and finish firing the rocket engine parallel to the atmosphere to achieve orbital injection . [ 33 ] Once in orbit, their speed keeps them above the atmosphere."
Orbit
[13] supported
If an elliptical orbit dips into dense air, the object loses speed due to drag and will re-enter the atmosphere, falling to the ground.
"If an elliptical orbit dips into dense air, the object will lose speed, and re-enter, falling to the ground."
Orbit
[14] documented
The first Soviet satellite, Sputnik I, was launched on October 4 and had an orbit reaching 360 miles out, circling the earth every 96.2 minutes.
"The first Soviet satellite, launched Oct. 4, weighs 184 pounds, has an orbit reaching out 360 miles, moves at 18.000 miles an hour and circles the earth every 96.2 min minutes."
Image 5 of The Key West citizen (Key West, Fla.), November 4, 1957