There are several index dates to determine the beginning of the Kali-Yuga. According to the Surya Siddhanta, Kali Yuga began at midnight (00:00:00 LMT) on 18 February 3102 BCE on the proleptic Julian calendar, and 23 January 3102 BCE on the proleptic Gregorian one. This date is also considered by many Hindus to be the day when Krishna left the mortal world to return to his celestial abode. Tradition says that the planets Saturn, Mars, Venus, Jupiter, Mercury as well as the Sun and the Moon were all situated near the nakshatra Revati. (According to Surya Siddhanta and Jyotisha Shastra)
With Inner Sky Electrum Synoptical Astrology Software (for Windows 7 and Windows Vista) I can display the whole celestial schema (inside: tropical zodiac, in the middle: sidereal vedic lunar mansions (Nakshatra), outermost zone: true stellar constellations along the Ecliptic).
The second horoscope demonstrates the sidereal zodiac instead of the nakshatras within the synoptical context: