Ok so the big circle is 100 pixel diameter and the orbiting ones should be 25 of diameter and a 5 pixels separation which leads that the orbiting circles should be placed on the circumference of a helping circle (lets named it X-circle) of a radius of 100/2 + 25/2 + 5 = 67.5 and concentric with the 100 pixel circle.
now you know where to place the orbits, but you need to put them at equal distances between each others to do this you need to make the following calculation where "n" is the number of orbiting circuits required. you could use the following pseudocode
if you try it on a piece of paper by hand you will get a clear idea, have fun with that