THEODOLITE TRIAHGUIATTOWt FRO" ^CDTOLL
A Least Squares Solution for the Cinetheodolite Brohlem
To find a practical method of determining the position of a missile in
space, given the azimuth and elevation angles to the missile fron various theodolite stations.
Due to errors inherent in any method of measurement, Hli unlikely that
any of these linos of eight will intersect *n spaco. Thus arises the
need of selecting so^e criterion upon i
the position of the missile. Among th
siderod are: (a) finding that po'nt :
the sum of tho squar- s of the angular |
lines of sight and the corresponding T
ing stationaf (b) finding that point
of squares of the perpendicular distan|
to the observed lines of si ghtj (c) f|
fying the criterion of maximum likolIh|
dimensional problem to a two dimension
Each of thesn h* a been rojoetod becaus|
lack of practical application.
>roposed Procedure (Rodv?Qll*s)
The proposed procedure is as followst
(a) Find that point on each of tj
sum of the squ res of the distances fr
other such po*nt shall be a minimum.
(b) Average the weighted coordinj
Th-'s least squares procedure for the c
se the selection of
which have been cts*
te, wh*ch minimises
"• etween the observed
ig Fe with the o- sorv-
rhi ch rln^mizes the sum
lis corruted point, Po,
: po-nt *n space satis-
l) reduction of tho three*
*y projection on a p1ane.
itical difficulties or
it the
» every
: of these points.
of three theodolites reduces
NMSU Department of Astronomy: Clyde W. Tombaugh Papers
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THEODOLITE TRIAHGUIATTOWt FRO" ^CDTOLL
A Least Squares Solution for the Cinetheodolite Brohlem
To find a practical method of determining the position of a missile in
space, given the azimuth and elevation angles to the missile fron various theodolite stations.
Due to errors inherent in any method of measurement, Hli unlikely that
any of these linos of eight will intersect *n spaco. Thus arises the
need of selecting so^e criterion upon i
the position of the missile. Among th
siderod are: (a) finding that po'nt :
the sum of tho squar- s of the angular |
lines of sight and the corresponding T
ing stationaf (b) finding that point
of squares of the perpendicular distan|
to the observed lines of si ghtj (c) f|
fying the criterion of maximum likolIh|
dimensional problem to a two dimension
Each of thesn h* a been rojoetod becaus|
lack of practical application.
>roposed Procedure (Rodv?Qll*s)
The proposed procedure is as followst
(a) Find that point on each of tj
sum of the squ res of the distances fr
other such po*nt shall be a minimum.
(b) Average the weighted coordinj
Th-'s least squares procedure for the c
se the selection of
which have been cts*
te, wh*ch minimises
"• etween the observed
ig Fe with the o- sorv-
rhi ch rln^mizes the sum
lis corruted point, Po,
: po-nt *n space satis-
l) reduction of tho three*
*y projection on a p1ane.
itical difficulties or
it the
» every
: of these points.
of three theodolites reduces