Conversations on Natural Philosophy, in which the Elements of that Science are Familiarly ExplainedMarcet, Mrs. (Jane Haldimand)
Science
Conversations on Natural Philosophy, in which the Elements of that Science are Familiarly Explained
Marcet, Mrs. (Jane Haldimand)
Physics
_Emily._ If, then, we are driven by one power, and drawn by the other to
this centre of destruction, how is it possible for us to escape?
_Mrs. B._ A little patience, and you will find that we are not without
resource. The earth continues approaching the sun with a uniformly
increasing accelerated motion, till it reaches the point E; in what
direction will the projectile force now impel it?
_Emily._ In the direction E F. Here then the two forces act
perpendicularly to each other, the lines representing them forming a
right angle, and the earth is situated just as it was in the preceding
figure; therefore, from this point, it should revolve round the sun in a
circle.
_Mrs. B._ No, all the circumstances do not agree. In motion round a
centre, you recollect that the centrifugal force increases with the
velocity of the body, or in other words, the quicker it moves the
stronger is its tendency to fly off in a right line. When the earth,
therefore, arrives at E, its accelerated motion will have so far
increased its velocity, and consequently its centrifugal force, that the
latter will prevail over the force of attraction, and force the earth
away from the sun till it reaches G.
_Caroline._ It is thus then that we escape from the dangerous vicinity
of the sun; and in proportion as we recede from it, the force of its
attraction, and, consequently, the velocity of the earth's motion, are
diminished.
_Mrs. B._ Yes. From G the direction of projection is towards H, that of
attraction towards S, and the earth proceeds between them with a
uniformly retarded motion, till it has completed its revolution. Thus
you see that the earth travels round the sun, not in a circle, but an
ellipsis, of which the sun occupies one of the _foci_; and that in its
course, the earth alternately approaches and recedes from it, without
any danger of being either swallowed up, or being entirely carried away
from it.
_Caroline._ And I observe, that what I apprehended to be a dangerous
irregularity, is the means by which the most perfect order and harmony
are produced.
_Emily._ The earth travels then at a very unequal rate, its velocity
being accelerated as it approaches the sun, and retarded as it recedes
from it.
Public-domain text, read in full here on John Shaqi.
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