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Kepler, Maestlin and the orbit of Mars

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In the first version of his MC Kepler presents the periods of the planets with values of very high precision. This is well before he has access to Tycho’s data. It is most likely that he gets this information from his praeceptor Michael Maestlin.

It is presented by Maestlin in his Epitome on p343 in the 1588 version.

In this book he does not derive these values of the periods, just reports them.

They are derivable from known information of sidereal and synodic cycles. For example in the case of Mars : 42 sidereal cycles and 37 synodic cycles in 79 years. Or from the time between oppositions, i.e. for Mars 780 days.

Copernicus was not aware, as far as I know, of the values that Maestlin and Kepler later know, in such detail as presented in their books.

I would like to know when these values were first generated and by whom.

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Wow, first post! Sometimes I am amused, other times frustrated but your post warrants serious interrogation. 
Please... we’ll educated SGLrs provide some answers, as I am following this like a hawk.

Marv

Edited by Marvin Jenkins
Noticed time delay in replies.

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While I'm interested in astronomy history, I'm also a little bemused as to why someone with such a specific and highly detailed question should be posting it here and not in more academic circles. But perhaps you have already done so?  Please, this is not a criticism but it may have something in common with Marvin Jenkins' reaction. I guess it would help to know where you're coming from.

Olly

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