You are perfectly correct, Ronald ....

Oct 20, 2009,15:35 PM
 

... and I should have made that clear in the article. I had thought about that complex of questions, but decided against including it in the article, since I thought it to be already confusing enough. smile

It is clear that the medieval conception of the cosmos as an eternal wheelwork created by God, continuing according to the same dynamics forever, is completely false. When the huge astronomical clocks of the former centuries had the task to demonstrate the divine care in assembling the finest detail of the celestial system, modern astronomical timepieces can but show an idealised depiction of the nature.

All planets and moons within the solar system are rotating on elliptical orbits, rather than circular. Of course this affects the accuracy of all astronomical displays. Sometimes, watches add a so-called equation of time indication, which does at least take into account the Earth's elliptical orbit around the Sun. However, the Moon's deviation from the perfect circle remains unattended. As a consequence, the value for the synodic month that I used in the article is but a mean value.

To complicate things even further, the various gravitational influences from the bodies in the solar system lead to a general reduction of orbital speeds: the Earth is getting slower, making the year longer. Also its own rotation, responsible for the solar day, is becoming slower. Some 900 million years ago, a day lasted about 19 hours, instead of 24, like today. A siderical month lasted only 23 days. Currently, the Moon is increasing its distance from Earth by about 4 centimeters per year. This, too, adds over the eons and to a substantial deviation from the fixed values that are depicted by a set of wheels. Already now, the differences in the sequence of what we ccould call "time units" (hours, days, months, years) are apparent, when ancient reports on solar eclipses are contradictory to modern calculations, based on today's values of orbital intervals.

However, I think this leads into a rather philosophical discussion: What is the purpose of an astronomical timepiece? Does it make sense to depict the cosmic system in a way that it is only valid in the very moment of the model's creation, while it becomes increasingly wrong in every minute? Could be a nice discussion here ....

Regards,
Marcus

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Ticket to the Moon: Ulysse Nardin's "Moonstruck", Part I

 
 By: Marcus Hanke : October 19th, 2009-15:39
A Ticket to the Moon Ulysse Nardin's "Moonstruck" Part I: The quest for astronomical accuracy by Marcus Hanke (c) text and pictures, if not noted otherwise, Marcus Hanke and PuristSPro, October 2009 (c) Ulysse Nardin Many years ago, Ludwig Oechslin explai...  

Fantastic stuff...

 
 By: aaronm : October 19th, 2009-18:48
I shall have to read it a second time to make sure I understood all of it. I hate to get all practical, but I do have one question about the watch, will it be easier to set than the trilogy pieces? A

Well, I think the Trilogy pieces do not deserve ....

 
 By: Marcus Hanke : October 20th, 2009-06:53
... that bad reputation as being so difficult to set. For the perpetual, which is famed for its ease of use, I would always need the manual, since I forget the correct order of setting the indications. The Trilogy pieces are completely set by their crown,... 

A good report, Marcus. Besides marketing ploys, there are...

 
 By: Ronald Held : October 20th, 2009-10:02
problems with claiming high accuracies. I am not at home, but I know that the mean lunar synodic period has secular time varying terms. That is, the quoted number is accurate(to some error) at a specific epoch. Over thousand to hundreds of thousand of yea... 

You are perfectly correct, Ronald ....

 
 By: Marcus Hanke : October 20th, 2009-15:35
... and I should have made that clear in the article. I had thought about that complex of questions, but decided against including it in the article, since I thought it to be already confusing enough. It is clear that the medieval conception of the cosmos... 

Seeing as periodic terms are usually not even considered, Almost everyone...

 
 By: Ronald Held : October 21st, 2009-02:49
would not even think about them, much less the secular terms. I thought of having someone design a 3D Moon with the proper libration and shadowing, but I could not afford to have it made.

Too pity ...

 
 By: Marcus Hanke : October 21st, 2009-08:52
... would have been a nice piece! However, even computer algorithms used in animations and software solutions are unable to include the unforeseeable: the laterations of the Earth axis tilt, the jumpy increase of the moon distance ... universe simply does... 

I am certain it could be done at UN, but I believe the 3D Moon is not..

 
 By: Ronald Held : October 22nd, 2009-02:45
its style. You could ask them.

Post worth of outmost admiration

 
 By: Ares501 - Mr Green : October 20th, 2009-10:47
Islay definitely for this one Laphroaig is all I have at hand Will it do? So much to learn and so little time This one is keeper All the best Damian

The Astrolabium and Planetarium look good as does the

 
 By: ArthurSG : October 20th, 2009-21:00
UN Scatola winder. More info then I can digest in one sitting. And you had to show th 1815 moonphase again.... Thanks for this informative post!

Bravo, Marcus!

 
 By: dxboon : October 21st, 2009-00:07
This is a great post! I will need a couple more times reading the article before I can fully process everything I think, but my initial reading reveals a wonderfully educational and supremely interesting post! I'm not sure that my IQ qualifies me to under... 

You are too kind, Daos! ....

 
 By: Marcus Hanke : October 21st, 2009-09:01
Thanks a lot for your compliments, which, of course, I appreciate a lot I have to admit that I find it difficult very often to understand the world of watchmakers. Maybe you know these elements of popular IQ tests, wehre you see several teethed wheels, an... 

BRAVO!

 
 By: cazalea : October 21st, 2009-10:31
Your article does a great job of extending the discussion of displaying moon phases on a wrist-worn device. I will be happy when I can actually see and play with a Moonstruck, as it's not clear to me how the display really represents the changing moon and... 

You have to wait for part three ....

 
 By: Marcus Hanke : October 21st, 2009-10:39
... where I will analyse the Moonstruck functions in detail. I just wanted to keep you nervously waiting, so I didn't mention anything about it in the first article ... Regards, Marcus

Fantastic post Marcus !

 
 By: foversta : October 21st, 2009-10:53
One of the most interesting articles of the year ! Thanks ! Fr.Xavier

Thank you very much! ....

 
 By: Marcus Hanke : October 23rd, 2009-00:36
... but there are so many highly interesting posts published here, that I really have difficulties to keep track of them myself. Regards, Marcus

Great post!

 
 By: Massi : October 21st, 2009-11:38
Looking forward to the remaining parts.

Hope you will not be disappointed -nt

 
 By: Marcus Hanke : October 23rd, 2009-00:37
nt

Thanks! Great information!

 
 By: patrick_y : October 21st, 2009-13:20
Before this, I had only known of the more basic moonphase transmission ratios that would allow for a 1 day deviation every 122 years. I didn't even know about Lange & Sohne's moonphase watch had a day deviation for every 1000 years. But I'm even further a... 

Thanks! But already the "conventional" 120 years-moon phases ....

 
 By: Marcus Hanke : October 23rd, 2009-00:38
... require some effort, not only in production, but also in assembly. I would not consider them "lesser" than UN Moonstruck or the Lange. Regards, Marcus

Aarrrgh.....

 
 By: MTF : October 23rd, 2009-07:11
Herr Prof Dr Hanke, Is it jet-lag or hypoglycaemia or my Tasmanian single malt whisky? I cannot understand all of your paper Part 1 and fear the worse for Parts 2 and 3....... But, thank you anyway! The good news is that the UN +/- GMT Perpetual is dummko... 

Don't be too humble, my dear MTF ....

 
 By: Marcus Hanke : October 28th, 2009-01:06
... since I know you are playing with far more complex topics every day . But thanks a lot for the compliments, and I hope the upcoming two parts are less mathematical. Best regards, Marcus

An extraordinary post...

 
 By: tempusfugit : October 23rd, 2009-09:03
very informative. Thank you very much, Marcus. tempusfugit

Thanks a lot! -nt

 
 By: Marcus Hanke : October 28th, 2009-01:06
nt