The second problem with all telescope mirrors is that gravity can bend or sag the glass due
to the Earths gravity.
Most telescope mirrors are supported form there flat back side. There are many ways to support
the glass to minimize the gravity warping effects.
One solution is to make the glass thick. The rule of thumb is that a mirror with a thickness to
diameter radio of 1:8 can use simple support of the back of the mirror. Mirrors
that are thin and have a ratio larger than 1:10 will need extra support to help them provide the best images.
For this Dobsonian 6”f5 plate glass mirror we see it is about ¾” thick and 6”
in diameter. Therefore the ratio is 0.75” divided by 6”
or a ratio of 1:8. So, this is good
and the mirror will only need the simplest support.
The simplest support for a mirror is 3 points at 120 degrees around the center of gravity of the
mirror. There is a radius out from the center of the mirror in which the weight
of glass on the inside of the circle will be equal to the weight of glass on the outside of the circle.
Mathematically the equation would look like this where Rin is the inside radius of the circle and
Redge is the outside radius of the mirror. The relationship of the area
of a circle is Pi times radius squared.
The weight of the glass at any radius is
= Density_of_glass * Thickness * Pi * (Rin * Rin)
The weight of the glass outside an Rin radius to
the edge of the mirror, must equal the same inside wieght.
This is
= Density_of_glass * Thickness * Pi * ((Redge * Redge) -
(Rin * Rin))
Pi and the Thickness and the Density drop out on both sides of the equation.
If you solve for Rin inside radius you get the equation
2 * (Rin * Rin) = (Redge * Redge)
or
Rin = Redge / Sqrt(2)
So you want to put three small cork dots of ¼”
diameter at Rin radius of .707 * 3" , or 2.12” out form the center
of the back of the mirror.
So, flip the glass mirror over to the uncoated side. Mark 3 places that are 120 degrees apart. Place 3 cork pads each at 120 degrees angle and 2.12" out from the center of the mirror. The
three pads will support the weight of the mirror equally when the mirror is sitting on its back in the mirror cell.