Most tracking programs use an equirectangular projection which is by far the easiest to program and shows the entire Earth at once. A 3D model is often used which helps visualize orbits but does not show the entire Earth at the same time.
Tom remembers having an easier time visualizing the orbits back in the day (1970’s) when amateurs used cardboard OSCAR Locators with overlays. This Windows program lets you visualize orbits OSCAR Locator style.
Download the OSCAR Locator from http://www.tomdoyle.org/OscarLocator
Other Apps by Tom can be downloaded via http://www.tomdoyle.org/
40 Years of Tracking OSCAR-7 https://amsat-uk.org/2014/11/09/40-years-tracking-oscar-7/