Hello again!
Maybe I have found some software that will do the job. On the website of the
Orbit Downloader the first entry of the
New Features list says:
"Grab Pro - Download RTMP protocol video". Sounds perfect, doesn't it? And somewhat beneath you can read: "100% free and no registration required."
Have no time to test it, now. But I've downloaded it already and will notify ye about my experiences.
See ye!