In the 61 years between the 1900 and 1960 sidereal Aries ingresses, the right ascension of the Sun at the critical moments advanced a total of 188 seconds. Any similar catalog of consecutive solar returns or ingresses over a span of years will show this same rate of roughly 3 seconds' increase per annum. This inevitability enables us to use Midheaven longitudes as a short cut to obtaining the Sun's right ascension, since the Sun has no appreciable latitude, thus eliminating the need for trigonometry in the absence of ephemerides giving solar right ascensions. The sidereal time for elsewhere and at other times can be computed directly from it by a procedure familiar to all students. Any accurately figured-out sidereal time gives the hour angle measured westward from the meridian, of the vernal point.
Hour angles are therefore differences between right ascensions.
When there is no difference, the right ascension of a body is the same as the sidereal time at this moment of no difference. When a planet or a fixed star rises or sets precisely with the Sun, it is referred to as its cosmic rising and cosmic setting respectively. This is, therefore, the ayanamsa for this date. The sidereal longitude of the Sun, Moon, planets and fixed stars can be immediately obtained by subtracting this amount from their tropical longitudes for January 1, 1960. Unfortunately the writer has not studied the Cro-Magnon cave paintings, and is, therefore not in a position to give an opinion about them.