Current APO Collimation
J. Morgan, Oct. 2, 1997
This report discusses the current method by which the APO 3.5-m
telescope can be collimated. This method does not depend on making
any modifications to the telescope. Although it would greatly benefit
from the addition of a few modifications to the test equipment that
we currently have at APO, this procedure can be accomplished with the
equipment currently on hand. I offer this description as a help in
our future collimations of the telescope as well as for a starting
point for discussions about what changes we might wish to make to the
telescope to make things easier or better in the future. For
descriptions of the APO optics and requirements for the collimation
of the 3.5-m, please see my earlier report on this subject.
The current procedure
Aligning the secondary and tertiary mirrors
- ) Center the primary on the Cassegrain hole lifting fixture.
- ) With the tertiary removed, mount the secondary on the
telescope.
- ) Mount the Auto-Reflecting Telescope (ART) in the Cassegrain
hole. Note that shims are required to get the ART to reposition
accurately. One shim should be placed directly opposite the set
screws which hold the ART in the fixture and the other placed 90
degrees to the first. Take care to place the shims in so that they
extend the whole length of the mounting tube. I also suggest that
we adopt a standard orientation to the ART: with the focusing knob
pointing toward the NA2 port of the telescope and the snout of the
ART even with the top of the fixture. After placement of the ART,
the set screws need to be securely tightened. It is also
recommended that a safety wire be strung up around the focusing
knob to insure that the ART will not fall to the floor if it slips
from the fixture.
- ) Use the reticle lamp on the ART to illuminate the bottom of
secondary. With this lamp, the dimple on the secondary can clearly
be seen as a dark spot in the field of view even with other dome
lights on. Likewise, the back-reflection from the ART can also be
plainly seen. The dimple on the secondary has been placed at the
vertex of this optical element.
- ) Focus on the direct image of the secondary dimple and then
use the telescope vane turnbuckles to translate the secondary
until it is centered on the ART crosshairs. It is convenient here,
but not mandatory, to mount the Panasonic CCD video camera on the
ART to view the dimple as the vane turnbuckles are adjusted. It is
NOT necessary at this time to worry about the back-reflection from
the ART. At this time you are NOT trying to set the tilt of the
secondary, you are only trying to set its translation to be
coincident with the axis of the Cassegrain hole lifting fixture.
Note that the tertiary mount has been pinned to have its
rotational axis to be coincident with the axis of the Cassegrain
hole lifting fixture.
- ) Replace the tertiary. Note that this must be done by first
removing the secondary, using the crane to install the tertiary,
and then replacing the secondary. We are depending here on the
pinning of the secondary truss structure to accurately reproduce
the secondary position.
- ) Move the ART to the center of the Nasmyth port. There is a
special mounting plate which was built for this purpose.
Eventually, you will discover that this plate does not hold the
ART at the exact rotational center of the NA2 port, but it is
close enough and we may ignore this problem for the moment.
- ) Place the tertiary actuators in the middle of their range of
motion. Note that I include this step only for future reference.
It is not really practical to do this at the current time. The
tertiary is held to its mount by three 40 tpi lead screws which in
turn are attached to harmonic drives which have 60:1 reductions.
The harmonic drives are attached to stepper motors which are
currently unpowered. As a result, these actuators must be rotated
by hand. With this arrangement, one revolution of the lead screws
moves the mirror 0.025", but one rotation of the stepper motor
shaft moves the mirror 0.00042". The actuators have a range of
approximately 1" which means you must rotate the stepper motors
1200 turns to move the lead screws through 0.5"! Even if you have
the fortitude to spin all three stepper motors this much by hand,
good luck keeping count!
- ) By eye, find the rough position of the tertiary by focusing
the ART on the direct image of the secondary dimple. To align the
dimple on the ART crosshairs in the horizontal direction rotate
the tertiary mount. To align the dimple on the ART crosshairs in
the vertical direction rotate the tertiary in its mount. The
tertiary actuators are arranged at the vertices of an equilateral
triangle on the back of the mirror. One leg of this triangle is
parallel to the horizon. The easiest way to rotate the mirror to
place the dimple in the correct vertical position on the ART is to
move only the top actuator. Alternatively, you can move both of
the bottom actuators in equal amounts.
- ) With the Panasonic CCD video camera on the ART, mark on the
TV screen the initial location of the secondary dimple. Also mark
the location of the ART crosshairs. Rotate the instrument rotator
90, 180, and 270 degrees, marking the location of the dimple at
each rotation angle. The pattern of dimple locations will be a
circle on the screen. Below we will refer to this circle as the
alignment "error circle". If the camera is exactly on the rotator
axis, then the error circle will be centered on the ART
crosshairs. If the camera is off the rotator axis, then the error
circle will be displaced from the ART crosshairs. In either case,
the center of the error circle is the location of the rotator's
axis of rotation. Measure on the TV screen the diameter of the
error circle. If you have measured the dimple location at the four
rotator angles above, then you will have two estimates of the
error circle diameter. Take the average of the two measurements as
the estimate of the error circle diameter.
- ) Move the image of the secondary dimple to the center of the
error circle by use of the tertiary rotator and the tertiary
actuators as was done in step 9. Remeasure the diameter of the
error circle by repeating the measurements of the secondary dimple
positions at 0, 90, 180, and 270 degrees. This step might have to
be repeated in order to ensure that a minimum error circle has
been achieved. Error circles as small as 0.05" on the TV screen
are possible without excessive effort. This is approximately the
diameter of the image of the secondary dimple itself. If this is
not the case, then don't panic yet. This could be the result of
incorrect tertiary pistoning which we will deal with in step 17.
- ) Change the focus on the ART to view the back-reflection from
the secondary. The back-reflection is an image of the front of the
ART which is seen reflected back through the tertiary and
secondary mirrors. Its image on the TV screen is much larger than
the image of the secondary dimple, approximately 0.5" in diameter.
In the back-reflection image there is a pattern of rectangles that
form a cross-hair pattern. With the current sensitivity limits of
the Panasonic CCD it is fairly difficult to see this pattern on
the TV screen. At its best focus it is just possible to make it
out. If this pattern can be seen, use it to estimate the center of
the back-reflection image. Otherwise, you're on your own to make
your best eyeball estimate of the back-reflection image position.
The secondary mirror mount is designed to rotate the secondary
around its center of mass. This is close enough to the mirror
vertex that for small angles of tilt, the direct image of the
secondary dimple is not moved appreciably. Unlike the direct image
of the secondary, the back-reflection of the ART telescope is
sensitive to the both the translation and the tilt of the
secondary. This means that the error circle for the
back-reflection will be as big or bigger than the error circle for
the direct dimple image. The goal for this next two steps is to
minimize the back-reflection error circle without increasing the
error circle of the direct dimple image.
- ) In a manner similar to that used for the direct dimple error
circle, measure the diameter of the back-reflection error circle
and determine its center. Note that in principal the
back-reflection and direct dimple error circles are concentric.
Therefore, knowing the center of one should be sufficient, but it
doesn't hurt to have another measure of the instrument rotator's
axes position.
- ) Using a host session to the secondary controller, tilt the
secondary until the back-reflection is centered on the
back-reflection error circle just measured.
- ) After the tilting of the secondary, remeasure the size of
the back-reflection error circle. If the mirror was tilted
properly, then this error circle should be significantly smaller
than before.
- ) Return the ART focus to the direct dimple image and
remeasure the diameter of the direct dimple error circle. If the
secondary tilts were large, then its likely that this error circle
has increased a little. If this is the case, then you should
reiterate step 11. When the back-reflection error circle has about
the same diameter as the direct dimple error circle, you have done
everything you can hope to accomplish with tilts of the secondary
and tertiary mirrors. It is rather important here to record the
secondary tilts and tertiary actuator positions.
- ) At this point what we have accomplished to to make sure that
the optical beam from the tertiary towards the ART is parallel to
the instrument rotator axis and in a vertical plane that goes
through the rotator axis (see Figure
1). The optical axis can still be above or below the rotator
axis by the size of the radius of the residual error circle at the
end of step 16. This alignment error is corrected by pistoning the
tertiary to the correct position. The tertiary is pistoned in or
out by moving all of the actuators by an equal amount. Recall from
the discussion in step 8 that it takes a large number of turns to
piston the tertiary any significant distance. In fact, since the
tertiary pistons at an angle of 45 degrees to the optical axis,
this problem is worse than what we have already stated by a factor
of cos(45). For instance, one revolution of the tertiary actuators
moves the mirror up or down by 0.00042 * cos(45) = 0.0003".
Therefore, to move the mirror up 0.05" takes 168 turns of all
three stepper motors. Note here that we currently have not
measured the TV image scale when the ART is mounted to the Nasmyth
port, but from estimates of the size of the dimple it appears to
be close to 1:1 imaging. Therefore, if at the end of step 16 you
have a residual error circle with a radius of 0.05" on the TV
screen, then you will need to piston the tertiary by approximately
168 turns to decrease this radius and properly align the optical
axis. Remember that pistoning the mirror out moves the image up
and pistoning it in moves the image down. As before, you want to
move the mirror so as to move the dimple towards the center of its
error circle. As before, you will probably want to reiterate this
step after moving and re-measuring the error circle.
Alignment of the primary mirror
Overview
At the end of step 17 the secondary and tertiary mirrors have been
aligned with each other. The translation of the secondary is
approximately lined up with the primary, assuming that the optical
axis of the primary is close to the center of the Cassegrain hole.
Because we have now constrained the positions of the other optical
elements, we can now use on-sky imaging to define the best tilt and
translation of the primary with respect to the secondary.
The primary mirror adjustments will come in two stages. The first
stage will align the mirrors well enough to attain good on-axis
imaging and should be easily accomplished in a single night of
observing or less. This stage requires only that the primary be
tilted in its mirror cell. No translations of the primary will be
required for this stage to be accomplished. We know this because it
has been possible in the past to achieve good on-axis imaging by
means of only tilting the secondary once it has been properly
translated to the mechanical center of the Cassegrain hole. There is
no optical difference between this and tilts of the primary.
We have two options about how to go about the second stage of the
alignment. This stage will consist of using off-axis imaging to
determine the true optical center of the primary with respect to the
current primary position. The imaging required to accomplish this
task can be taken within about 1/2 night of observing. The mirror
adjustments can then be made at a later time in one of two ways.
Either the primary itself can be translated and tilted to new
corrected values, or the realignment of the secondary and tertiary
can be redone with the the secondary in step 5 translated to the
calculated position of the optical center of the primary. Which of
these two options will be easier to accomplish will depend on which
direction we believe the primary needs to be translated to. If the
translational motion is all or primarily in the direction of the
transverse axis, then it will be easier to take the first option. If
we are required to move the primary in the direction of the Nasmyth
axis, then it will probably be easier to take the second option.
Stage 1: Obtaining good on-axis images
The adjustments for the first stage are relatively easy. The
primary mirror can be tilted by adjustments of the hard-point
positions on the Primary Mirror Support System. The hard-points
positions are adjusted by screwing them in or out. The adjustment
screw pitches are 20 tpi. The hard points are located 42.45" away
from the center of the Cassegrain hole in an equilateral triangle
pattern. Each motion of a hard-point tilts the mirror about an axis
that goes through the opposing two hard-points. The distance between
a hard-point and its axis of revolution on the mirror is 63.675" (see
Figure 2). One revolution of the
hard-point screws is a 0.05" motion of the mirror, which is
equivalent to a tilt of 0.05/63.675 = 0.00079 radians = 162
arcseconds. We ought to be able to adjust the position of these
screws to about 1/10 of a turn, which is to within a 16 arcsecond
precision. The procedure for these adjustments is given below.
- ) Use the guider to place a star image in the middle of the
Nasmyth port. Choose a star which has an elevation angle of 40-60
degrees. A fairly bright star will be needed because the Panasonic
CCD sensitivity is poor.
- ) Mount the ART on the Nasmyth port with the CCD camera
attached. Move the telescope out of focus so that the primary
doughnut may be seen on the TV screen. Move the TV monitor to the
bottom of the telescope
- ) Record the initial primary tilt position by writing down the
LVDT readings for the A, B, and C sectors.
- ) Adjust the hard-point screws so that the primary doughnut is
symmetric. The secondary obscuration should be centered in the
doughnut pattern.
- ) Record the new LVDT readings. At this point the telescope
should have good on-axis imaging. For future reference, also make
sure that you record the position of the primary with respect to
the Cassegrain hole, the tilt values of the secondary, and the
positions of the tertiary actuators. Make sure that the bracket
which locks down the tertiary rotator mount is lock down tightly.
At this point, the secondary has been placed on the "neutral
point" arc (see the 3.5-m collimation report, Figure 1), where
translation misalignments cancel tilt misalignments. If the
optical axis of the primary lies at the center of the Cassegrain
hole, then we are done and no further adjustments will be needed.
The second stage of the primary alignment procedure is designed to
determine where the optical axis of the primary lies relative to
the axis of the Cassegrain hole.
Stage 2: Obtaining good off-axis images
We first need to gather the information which will enable us to
compute thetrue position and tilt of the primary's optical axis
relative to the current secondary position. We will require off-axis
images from the guider to determine where the primary's optical axis
lies. Software will be developed for the purpose of analyzing the
off-axis guider images and deducing from them where lies the optical
axis of the primary. The basis of this software is described in the
3.5-m collimation report in the section titled "Zernike coefficient
fits to off-axis images". I will not repeat this information in this
report. Here I will only be concerned with describing how to go about
acquiring the data needed for this analysis. This data can be
obtained any time after the completion of stage 1.
- ) Acquire a bright star on the guider.
- ) Record the initial rotator position angle and take a series
of guider images as the telescope is moved through focus. It is
desirable to have images on both sides of best focus. We need to
be able to define the position of best focus as well as to measure
the major-to-minor-axis ratio on each of the out of focus images.
For this second measurement, a fairly large focus range is
desirable. I estimate that five images centered on best focus
covering a range of approximately 500 microns of focus travel will
be sufficient. It is very important to record the focus position
of each image. Record the end rotator position angle after this
sequence of images has been taken. Store the series of guider
images taken for future analysis.
- ) Move the guider to a rotator position angle 90, 180, and 270
degrees from the initial rotator position angle in step 2 and take
a through-focus sequence at each rotator position angle.
- ) Let J. Morgan know where all of this data can be found! For
the initial analysis and development of the software, I will be
responsible for the analysis of the off-axis images. As I acquire
facility with this techniqueI hope to train others to do this
analysis.
The analysis of the off-axis images should give us the translation
and tilt of the primary axis relative to the Cassegrain hole axis.
With this information in hand, we will then be in a position to
decide how best to align the primary mirror. The procedure we choose
from here will depend primarily on where we need to move the primary.
If most of the motion is in the transverse direction, then it will be
relatively easy simply to move the primary using the transverse
hard-point and then to live with a small misalignment in the
orthogonal direction (the direction of the Nasmyth axis). If we are
required to move the primary a significant amount along the Nasmyth
axis (ie. more than 2 mm) then it will probably be easiest to redo
the alignment of the secondary and tertiary instead of actually
trying to move the primary in this direction. In this case, we will
need to repeat steps 2-17 given above with one difference: we will
align the secondary to the new offset position of the primary axis
rather thanto the middle of the Cassegrain hole as we did in step
5.