What Dr. P. V. Vartak says on Short Krishnapaksha.

Today I came across Dr. Vartak's book 'Svayambhu' He has written a lot of material about timing of Mahabharata in the book. On Short Krishnapaksha before start of war he says (Translated from Marathi) - 'Vishvaghastra Paksha or Kshayapaksha or 13 days fortnight - Such a fortnight occurred in 1962 and 1940. It occurs every 22 years. 5562 BCE was (5562 + 1962 =) 7524 years back which is a multiple of 22 so in 5562BCE a short krishnapaksha could have occured.'

I have a couple of questions! Dr. Vartak has claimed 5561 BCE as the year of war, not 5562 BCE! So a short Paksha one year back is of no use! Further, is there any truth in the 22 years' cycle? From 1962 adding 44 years we come to year 2006. I have found a 13 day Paksha in 2016 which does not fit.

I wonder whether anyone can confirm a 13 day paksha in 1962? Nautical Almanac of that year will provide exact timings of End of Purnima and End of Amavasya for all months in the year. I have no access to the data. A panchang for that year will also give the details. Is any reader able to help?