Sunday, 3 November 2019

COLLIMATION ERROR AND HOW TO CORRECT THE COLLIMATION ERROR

1. Error of Collimation:

Collimation error occurs when the collimation axis is not truly horizontal when the instrument is level. The effect is illustrated in the sketch below, where the collimation axis is tilted with respect to the horizontal by an angle a:
Error of Collimation                                                                                                                                                       2. CORRECTION                                                                                                         This type of error can be eliminated by placing the levelling instrument at  midway between two points .due to collimation error we normally get either upward slop or downward slop                                                                                                                                                  

ERRORS IN LEVELLING

1. Instrumental Errors:

(i) Imperfect adjustment:
ADVERTISEMENTS:
The essential requirement in levelling is that the line of collimation must be horizontal when the instrument is levelled. If the level is in perfect adjustment, the line of collimation is parallel to the bubble axis so that it becomes horizontal when the bubble is centred.
If the adjustment is not correct, the line of collimation will be inclined even though the bubble is central. The error due to the inclination of the line of collimation is proportional to the distance of the staff from the instrument.
This is most common and serious source of error, it can be eliminated:
(a) Testing and adjusting the instrument, and
(b) By equalising the back sight foresight distances.
(ii) Defective level tube:
If the bubble is sluggish, it may remain in centre even though the bubble axis is not horizontal. And if it is over sensitive, much time is wasted in levelling the instrument. Therefore the level tube fitted with the level should be only of the required sensitiveness.
(iii) Shaky tripod:
A shaky tripod renders the instrument unstable and thus leads to erroneous readings. The tripod should therefore be examined and loose joints be tightened.
(iv) Incorrect graduations of the staff:
When the staff is new one, the graduations should be checked up with an invar tape as there is every possibility of error in graduating the staff. It is however negligible in ordinary work.                    

 2. Errors of Manipulation:

 (i) Careless levelling-up of the instrument:
ADVERTISEMENTS:
The instrument should be accurately levelled and the hand should not rest on the telescope or tripod while taking the readings.
(ii) The bubble not being central at the time of taking reading:
This is the most serious and common source of error. The position of the bubble should be checked just before and after each reading is taken. The bubble should be brought in the centre of its run, if necessary, by means of a levelling screw most nearly in line with the telescope.
(iii) The parallax not removed properly:
ADVERTISEMENTS:
This error is due to imperfect focussing of the eye-piece and of the object-glass. The parallax should be entirely elimination by proper focussing before taking any reading.
(iv) The staff not being held vertical:
If the staff is not held perfectly vertical, the reading obtained will always be too great. This error is much pronounced for greater readings of staff, the greater the staff reading, the greater is the error. Great care should, therefore, be taken when taking larger readings. This error can be avoided by keeping the staff vertical by having a spirit level or a pendulum plumb-bob attached to the staff or by waving the staff and noting the smallest reading.                                                                   

3. Error due to Natural Causes:

(i) Curvature and refraction:
The effect of curvature of the earth is to cause the objects sighted lower than they actually are while that of the refraction is to make them appear higher than they actually are. In ordinary levelling , the error due to curvature and refraction need not be taken into consideration, since it is very small and hence negligible (only 0.003 m for a 200 m sight-length). For long sights, the correction for curvature and refraction has to be applied.
(ii) Wind:
It is difficult to perform accurate work in a wind storm because of the vibration of the instrument. If levelling is necessarily to be performed during wind , adequate arrangements should be made to shelter the instrument and larger readings should be avoided due to difficulty in holding the staff vertical.
(iii) Sun:
On hot sunny days, during the mid-day hours, the staff appears trembling near the ground and taking the correct readings becomes impossible. The work should therefore be suspended during hot hours. If this is not possible, the line of sight should be kept as much above the ground as possible and the length of sight kept short . Also ray-shade should be used if the Sun shines on the object glass.