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Now I'm achieving the up-to-date TLE from the celestrak.com and tle.info

However, for some analysis in the past, I need old TLE files, to make my calculations more accurate.

Is there a way to obtain the archived TLE data? Is there a way to do it via URL (to be able to load from the script, like celestrak.com/cgi-bin/TLE.pl?CATNR=40052&DATE=...)?

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Celestrak

For some selected groups of satellites, Celestrak has already-built group definitions of satellite archives at https://www.celestrak.com/NORAD/elements/

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Space-Track

Another option is to subscribe to Space-Track.org. You have to register using your name and e-mail address, then verify, but it is a straightforward process. Make sure to read all of the instructions and rules first.

Read the USER AGREEMENT first!

Then at least browse everything else.

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You can read more about using Space-Track in this answer

One you are registered and logged in, select TLE search from the top menu:

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Then enter the satellite number (21639 for example) and click all of the options shown below, and you will get all of the TLEs so far for March, 2018.

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If you click the blue API button, it will build a URL for you and then open it in a new tab. You can save that URL and alter it or rebuild it later with Python.

You can also save the data in the new tab directly from File->Save on your browser.

Read the instructions in more depth if you want to try to do this automatically from a script. Visit HowTo from the Help menu: https://www.space-track.org/documentation#/howto

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Finally

Remember you need to use your personal log-in before you can access the site, even using a script, and remember to

Follow All Rules

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