New-York tribune. [volume] (New York [N.Y.]) 1866-1924, 1883-01-24
TWO FORMS OF ORBrTt

though they reached ont arms and pulled upon eaen
rope If in different boats upon lake Grant that one
:hng-g rayitation-and all the rest ioho"s'
TWO FORMS OF ORBITS.
Now / will show you upon the screen now
they act upon each other Suppose body here, and
another starting from this point with velocity mat
Ter what. we shall find that this body will move in
relation t. the other IN perfect curve which, provided
the velocity Ia too great will be ali epse this other
body being the focus OF the epse If different bodies
start from point driven ia different directions
but all with the velocity, they viii all como rouD
TO the same place. and they viii all az the
instant point whore they started In other Words
time that VIII be taken in MAILING me circuit around
ho central attracting body will be entirely independents
of he direction IN whieh they tnrOwn aud 50 also
major axis, or the length OF the orn Iha I0OEs
SIMPLY from the law which causes stone thrown
into the To describe parabo.a AS q matter OF
fact it is easier 10 determine the pain tne planet
viii take, than t1e path a cannon ball VIII take II
the velOc5 Is not 100 great, you may pursue LHti
eipSe' anu sne p a i,, Ts fareyer and eve
and ever The action will be sefrepeating. NhaI ls
mOrei find body moving in such path,we eaI not
only tell 81 math eIuatcs co. where IL VII he
a million years nence but where 10 was nliOn years
ago 80 far the law gTayatOn VIII gO for We can
not say when it started its motion; We can uace IL
indefinitely. for there IS nothing to limit you lsSu !-
less the velocity is too gTeat but the velocity Is IN
creased the viii be ohgerand longer yeand u me
velocity much greater the cnrye mas become
" and will become parabola That miting velocity
is, cuIiously. tblsof course necessarily sO-that le
velocity which tie body Will attan IN faing TO tue cen
tral body from distance infinitely great - tlat "ncn
will make tho curve paraboa. 81 mat wnen |e Soe
comet, like the present gradually ta1lng Ia lhe
distance moving In curve sensbly paraOOhc around
the sun, We infer That 1t has come 10 the sun
from Instance great thai we may call tlnunc-
ine to the sun from suneW here among the stars NoW
suppose the way toward the some force pushes
IL rom behind ana lakes II go niue raster or
then1 The path will he heightened, II Will De longer
than iuhnte-if you can understand that u VII pass
into hypeTbOiS Moving In paiaDOlal II WIZ enter
the solar system leave II In scnSiby pdraeI heS
but moving in nyperboa, these Eos VIII DC divergent
There are thea two forms OF orDls caused ny ho
law OF grayilatiOn elliptic and hyperDoNc Ior we
parabD s. go to speak, The boundary line between 9ese
Two fOTms aud ii lhe circle IS epecla iOIh ol
elipse, when the length and breauth are
circles are alike, but elpscg vary IN
proportions and so DO hyper do not undertake
TO gave you any mathe natcal demonstration OF Una
but the Impression want TO leave npOb your ~ %
tnat there quest GhOu ~ than In three anu
three making SIX that granting merely the one nyse-
law era gitatiOn those arc te necessary results
have spoken Oh II so far two bcues arc concerned
But If third body 10 introduced 1be motions necOmo
very different and mucu more complicated that thefe
not mathematician in the world can tell whai thcJ
will be. Let there be three bodies acting upOn each
other in space WIKI YeOcues and directions OF The
motions given. aud there not man In the world WAO
will undertake tel where they VIII be million years
hence unless III the special case where one IN very
great, and others relatively very small no" pa5s
q more particular description OF our system, anu We
will paes the dla ram, which SHOWS the amer
sun ana the law connecting these numbers. Booe EIst
called attention tact tuat II you write number u
Ours along series and add pOtDng 10 the urst thfec
to the next twice that 70 the next ana so on aCuOhn
tho number added every ttne you VIII get the lullO"hS
series numbers: f. Z, 10, IL, =, o., 100, 100 5cc