Newton's cannonball

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Newton Cannon.svg

Newton's cannonball was a thought experiment Isaac Newton used to hypothesize that the force of gravity was universal, and it was the key force for planetary motion. It appeared in his book A Treatise of the System of the World.[1]

Thought experiment[edit]

In this experiment from his book (p. 5-8),[1] Newton visualizes a cannon on top of a very high mountain. If there were no forces of gravitation or air resistance, then the cannonball should follow a straight line away from Earth, in the direction that it was fired. If a gravitational force acts on the cannon ball, it will follow a different path depending on its initial velocity. If the speed is low, it will simply fall back on Earth. (A and B) for example horizontal speed of 0 to 7000 m/s for Earth

speed of cannonball at 0 m/s launched horizontally from newton's very tall mountain
speed of cannonball at 6000 m/s launched horizontally from newton's very tall mountain


If the speed is the orbital speed at that altitude it will go on circling around the Earth along a fixed circular orbit just like the moon. (C) for example horizontal speed of at approximately 7300 m/s for Earth

speed of cannonball at 7300 m/s launched horizontally from newton's very tall mountain

If the speed is higher than the orbital velocity, but not high enough to leave Earth altogether (lower than the escape velocity) it will continue revolving around Earth along an elliptical orbit. (D) for example horizontal speed of 7300 to approximately 10000 m/s for Earth

speed of cannonball at 8000 m/s launched horizontally from newton's very tall mountain

If the speed is very high, it will leave Earth. (E) for example horizontal speed of approximately greater than 10 000 m/s for Earth

speed of cannonball at 11 200 m/s launched horizontally from newton's very tall mountain

Other appearances[edit]

  • An image of the page from the System of the World showing Newton's diagram of this experiment was included on the Voyager Golden Record[2] (image #111).

See also[edit]


Notes[edit]

  1. ^ a b Newton, Sir Isaac (1728). A Treatise of the System of the World. London: F. Fayram. Retrieved 2 June 2014. 
  2. ^ Sagan, Carl et al. (1978) Murmurs of Earth: The Voyager Interstellar Record. New York: Random House. ISBN 0-394-41047-5 (hardcover), ISBN 0-345-28396-1 (paperback)

External links[edit]