Newton had observed that any projectile launched horizontally is, in
a sense, an Earth satellite.
A rock thrown from a tall building sails in a modest orbit that soon
intersects the earth not far from its point of launch.
If the ball were fired more swiftly to start with, it would travel
further. Futher increasing the speed would result in ever larger, rounder
elliptical paths and more distant impact point. Finally, at one particular
launch speed, the ball would glide out just above the planet's surface
all the way around to the other side without ever striking the ground.
At successively greater launch speeds, the ball would resolve in ever-increasing
elliptical orbit until it moved so fast initally that it sailed off in
an open parabolic or (if even faster) into a still flatter, hyperbolic
orbit, never to come back to its starting point.
This java applet let you change the launch speed by mouse click.
Your suggestions are highly appreciated! Please click hwang@phy03.phy.ntnu.edu.tw
Author¡GFu-Kwun Hwang, ( click for more physics related java applet )
Dept. of physics, National Taiwan Normal University
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