A 4mm eyepiece used in a telescope offers high magnification, which can lead to several potential issues depending on both the telescope and observing conditions. First, it’s essential to understand that high-magnification eyepieces can quickly reach or exceed the maximum useful magnification of many telescopes. The theoretical limit typically ranges to about 50 times the telescope’s aperture in inches (or about 2 times the aperture in millimeters). For example, a 4-inch (100mm) aperture telescope’s practical limit would be about 200x.

Using a magnification too high for your telescope can result in dim, blurry, or increased shimmering images due to atmospheric disturbances and optical limits. If your telescope is small or has a short focal length, the 4mm eyepiece might be pushing it beyond its practical limits, causing issues with focusing and image clarity.

Another consideration is the seeing conditions. High magnifications exacerbate the effects of atmospheric turbulence and light pollution, making it challenging to obtain a clear image. If your observing site has poor seeing or you’re observing under unfavorable weather conditions, the 4mm eyepiece might seem to perform poorly.

Additionally, the telescope mount’s stability plays a crucial role. High magnification magnifies not only the target but also any vibrations or movements. If you are using a less sturdy mount, even the slightest movement might cause significant image instability.

Finally, consider the quality of the eyepiece itself. Eyepieces vary widely in quality, impacting the clarity and field of view. Check if the 4mm eyepiece is of decent quality, or test it against other eyepieces to ensure the issue isn’t inherent in the eyepiece design.

To summarize, the 4mm eyepiece might be problematic due to several factors: exceeding the telescope’s maximum useful magnification, poor seeing conditions, mount stability, or the quality of the eyepiece itself. Evaluate your setup against these factors to diagnose the compatibility of the eyepiece with your telescope.