Nagaraj,

It may also be a good idea to use 'Tropical' , 'Sidereal' in the names of the two traditions since that indicates the method difference rather than giving scope for questions such as which part of the world Mesopotamia or Greece is the origin of western Astrology or whether the so called Vedic Astrology has got to do with the Vedas (alone) or not etc.

There is also sidereal astrology in the " West," so that is not really a good marker of the difference. Also, at the time of Greek influence on Indian astronomy the two zodiacs more or less coincided, so there was no difference between sidereal and tropical (this applies to both Indian/South Asian astrology and to "Mediterranean" astrology). The date of when that happened will depend of exactly where one considers the beginning of Aries (the constellation) to be.

Horoscopic astrology was mainly imported into India and then adapted, as shown by the Yāvana Jataka.

Luis