Seems you're encountering an issue with missing libraries, specifically libvips and libcfitsio, which are dependencies of PyVips. Here are some steps i resolve this error on Ubuntu 20.04:

1. Ensure Required Dependencies Are Installed

Since you're missing the libvips and libcfitsio libraries, you can install these dependencies using the package manager.

Step 1: Install libvips

You can install libvips via the package manager:

sudo apt update
sudo apt install libvips-dev

Step 2: Install libcfitsio

The error also mentions libcfitsio.so.5, which is part of the CFITSIO library (used for reading/writing astronomical data). Install this dependency with:

sudo apt install libcfitsio-dev

2. Verify the Installation

After installing both libvips-dev and libcfitsio-dev, check if the necessary libraries are installed in the correct locations.

ldconfig -p | grep vips

This command should show something like:

libvips.so.42 (libc6,x86-64) => /usr/lib/x86_64-linux-gnu/libvips.so.42

3. Check Library Paths

If you still encounter errors, it could be that the installed libraries are not in your LD_LIBRARY_PATH. You can manually add the path where the libraries are located.

export LD_LIBRARY_PATH=/usr/lib/x86_64-linux-gnu:$LD_LIBRARY_PATH

You can add this to your ~/.bashrc or ~/.zshrc for persistence.

4. Reinstall PyVips via PIP

If the above steps don't resolve the issue, try reinstalling PyVips:

pip uninstall pyvips
pip install pyvips

5. Using Conda to Manage Dependencies

If you're using a Conda environment, you can install libvips through Conda. This ensures that the dependencies are installed in your environment.

conda install -c conda-forge pyvips

Make sure your Conda environment is activated while doing this.

Still im not sure wether its work for you or not, there are so many thing happening behind the scene.