1:365 ratio in Meccano

A 1:365 ratio can be used in astronomical clocks as the ratio stands for 1 day : 1 year.

Bert Love wrote an article in the februari 1970 Meccano Magazine about the usage of the 73t sprocket in combination with a fork piece to achieve a ratio of 1:73. In combination with a 19t/95t gearpair a 1:365 ratio could be achieved.

Recently I came across another clever approach by Ariel Verlatsky, based on non standard gears and by engaging a gear wheel with a sprocket by a chain. Based on his idea I created a version which stays a bit closer to the Meccano standard gears. It still uses the 73t sprocket.

To obtain a 1:365 ratio with gears only - and this is in my opinion by far the most elegant solution - can be achieved by means of a differential:

73 = 292/4 = 288/4 + 4/4 = ½ x (288/2 + 4/2) (the vid mistakenly mentions 4 in the denominator...)
73 = ½ x (ratio satellite left + ratio satellite right) = ½ x (288/2 + 4/2)

Number 288 can be divided in 2 x 3 x 3 x 4 x 4 or in a ratio of : 50:25 x 57:19 x 57:19 x 60:15 x 60:15. Number 4 can be represented as a ratio of 60:15. See further the vid.

The knowledge about differential equations was taken from a FAC system manual from 1959. As far as I know this solution has never been described in Meccano Magazine or any other Meccano related magazine.

More info about this subject can be found here: http://meccanokinematics.net/meccano/...
More of my projects can be found at http://meccanokinematics.net