Manual Calculation of Natal Quotidian Lunar

1
Hi everyone this is my first post but I was hoping someone could help me with a problem I am having with regards to calculating the direct/converse Natal Quotidian Lunars {NQL) or kinetic lunar. More specifically the demi-cycles.

The resource that I am using is Marr's Prediction I, I am accounting for precession and the subtracting BIJA as outlined in the book. I am using the swiss ephemeris and julian days for my calculations. The example in the book is given for Queen Elizabeth II (1926 Apr 1926 1h12m12s ET London) for the birth of Prince Charles (1948 Nov 14).

Below is my data for each cycle chart after I have done the method as given in the book contrasted with the data gotten from the book. Because the direct and converse Moon wanted calculates to the same value (based on my application of the steps) (except 1' difference for the converse) I don't think I need to add my exact steps cause it seems to be fine. The Moon is what I start with to get the date.
My direct NQL data:
Moon: 11Gem28
Date: 1948 Oct 21 19h35m15s UT
London AC: 27Gem13
Marr's direct NQL data:
Moon: 11Gem28
Date 1948 Oct 21 19h35 ET (19h34m32s UT)
London AC: 26Gem

My converse NQL data:
Moon: 9Lib59
Date: 1903 Oct 19 11h48m43s UT
London AC: 22Sag
Marr's converse NQL data:
Moon: 9Lib58
Date 1903 Oct 19 11h46m UT
London AC: 21Sag

My direct demi-NQL data:
Moon: 11Sag28
Date 1948 Nov 03 14h13m34s UT
London AC: 28Aqu24
Marr's direct demi-NQL data:
Moon: 11Sag56
Date: 1948 Nove 03 15h03m UT
London AC: 7Pis

My converse demi-NQL data:
Moon: 9Ari59
Date: 1903 Oct 06 11h14m27s UT
London MC: 2Lib46
Marr's converse demi-NQL data:
Moon: 9Ari31
Date: 1903 Oct 06 10h22m UT
London MC 18Vir
There is such a large discrepancy between the demi Moons which shows when getting the corresponding AC/MCs cause and hour difference gives completely different planets at the angles. I should add that in the book the time of the demi-returns is all that is quoted the charts are not reproduced so I got those longitudes myself. I also have seen that my demi-NQL AC/MCs do not tally with those given by the POLARIS program but again my main NQL AC/MCs are the same. I have no idea what I am doing wrong, have I missed something entirely.

In my understanding of demi cycles whatever is the longitude wanted for the main cycle (which will be a conjunction with this degree) the demi is an opposition so hence I have 11Gem28 for the main NQL and 11Sag28 for the demi-NQL is this wrong?

Any help will be much appreciated, thank you.

Re: Manual Calculation of Natal Quotidian Lunar

3
Thank you Ouranos for the book rec.

The book doesn't go into calculation details for the NQL but it turns out that the BIJA for the demi cycle needs to be recalculated similar to the main cycle's. So the opposition is employed once to get the right BIJA and then when the new progressed moon is gotten to add 180 and that's what you search for.