RULE NO. 10
HELIOCENTRIC LATITUDE OF SATURN UNITS OF 1'21".2

I have found the value of 1'21".2; where I have it from I do not recall any more. This value produces in 1937 the extreme tops and bottoms, and if you recall the Wheat movements of 1937, you know that it was a question of 40c to 50c from a bottom to a top, or from a top tot a bottom.

Unfortunately, I have not used that rule any farther since I found it on June 6, 1938, as my date of entry shows. We shall find soon by adding the value mentioned above through these years up to date and see whether or not it still gives these extreme tops and bottoms.
We take the Nautical Almanac of 1937 and open page 201. In the middle of the page, we find a column marked "Heliocentric Latitude of Saturn", given every 8 days. In an adjoining column, we have the variation of the movement per day. This enables us by adding this variation two times to March 29, 1937, to arrive at the proper Latitude for March 31, 1937, which was the top for Wheat.

March 29, shows that the Heliocentric Latitude at Midnight on that day in Greenwich was –2*12'29".0, that the variation per day was 2".39. This latter value
we add twice, and we obtain:
2*12'29".0
2".39
2".39
2*12'33".78

To make the work easy, we shall call this value 2*12'34".

We also shall add a straight 1'20" instead of the very exact value of 1'21".2 to facilitate the work. However, as you will note, in nine months' time we are off a few seconds in Saturn's latitudinal motion.

March 31 1937
2*12'34" top for Wheat in 1937.
Add: 2'40"
2*15'14" bottom June 7, 1938
Add: 1'20"
2*16'34" major top July 16, 1937
Add: 2'40"
2*19'14" major bottom Oct. 7, 1937
Add: 1'20"
2*20'34" major bottom Nov. 24, 1937

At this place, we are off six times 1".2, or 7".2 all told. Therefore, the value should be 2*20'41".2. To this we add 1'21".2 which gives us2*22'2".4. The date is January 5, 1938, which was a top. Adding again 1'21".2 brings us to 2*23'23".6, or to February 25, 1938, which was an important top.
If we would continue with these values we get the following dates: April 28, July 5, September 27, in 1938.

In 1939, you will note that between June 7 and June 15 the direct motion in Saturn's Latitude changes direction at 2*29'15".2. It starts to go backward. The motion per day is very slow and only by February 27, 1940 do we find one of these points crossed. The next value backward, by deducting from the
February 27, 1940 value, we find May 18, 1940.

However, in order to get the in-between movements which were very important we have to divide our value 1'21".2 into half, and us the value of 40".6.
This we begin to apply from February 25, 1938, on. Therefore, adding 40".6 to the value of 2*23'23".6, which is equal to February 25, 1938, we obtain 2*24'24".2,
which belongs to March 28, 1938, an important bottom. There seems to be continuity in this cycle which is of great value.