Increasing the resolving power of a telescope

[Idoubt]

I have a toy telescope, very poor objective aperture like 30mm, the image is very poor.

I was wondering if I could increase it's resolving power by placing a convex lens with a larger aperture in front of the objective lens?

The larger lens should converge more light rays onto the objective giving more light.

I understand that the telescope is made for parallel rays but won't decreasing the distance to the eye piece compensate?

 

[Andy Resnick]

You are thinking mostly correctly, but the increased aberrations from doing what you suggest would likely degrade the image further.

What you really need is an increased numerical aperture (decreased f-number), and you are probably better off just getting a better telescope, rather than spending that time and money improving a poor quality instrument.