Well, a little explanation may be of help.
The terms western and eastern relate more to the concept of astrology and astronomy as perceived by the west and the east. The first issue used to beat astrologers in any discussion will be - how can you call sun a planet. The answer is - elementary watson, planet and griha are two different concepts - western and eastern. If only, astrologers had refrained from using the term planet, this confusion would never have risen.
With due respects to kepler and copernicus, the traditional vedic astrologers too knew how to calculate the transit of planets for thousands of years. For the benefit of uninformed, below is some extract from the proposed CBSE book for standard XI on indian astronomy for the course on knowledge traditions and practices in india.
"Because of the need to keep time for the proper conduct of rituals, calendrical astronomy grew more sophisticated in the late Vedic period, with the Vedāṅga Jyotiṣa of
Lagadha as its representative text (and, if we may call it so, the first extant Indian
scientific text). On the basis of its own astronomical data, it has been dated between the
12th and the 14th centuries BCE by most scholars. The length of the sidereal day (i.e. the
time taken by the earth to complete one revolution with respect to any given star) it uses
is 23 h 56 min 4.6 s, while the correct value is 23 h 56 min 4.091 s; the tiny difference is an
indication of the precision reached in that early age. The Vedāṅga Jyotiṣa also discusses solstices (ayanānta) and equinoxes (viṣuva) and uses two intercalary lunar months (adhikamāsa) to catch up with the solar calendar. In some ways, this text remains the foundation for India’s traditional luni-solar calendars.
There are many gaps in our knowledge after the above period and before the start of what has been called the golden age of Indian mathematics and astronomy. Beginning in the 5th century CE, this is the Siddhāntic era, when texts called siddhāntas were composed — a Sanskrit word meaning ‘principle’ or ‘conclusion’, but which applies here to a collection of conclusions or a
treatise. Their chief characteristics were the use of trigonometric methods and epicyclic models for the computations of planetary positions.
This quote is from a book By prof Ramakrishna Bhat - Fundamentals of astrology; "Karkataka, Vrischika and meena are brahmins, Mesha, Simha and dhanus Kshatriyas, Mithuna, tula and kumbha vaishyas, and vrishaba, kanya and makara sudras." Perhaps this answers your last statement.
In hindu astrology SUN and MOON are known as luminaries.
Planets are ll same, nothing western or eastern about it.
At this rate we will call them brahmin , kshatriya etc planets.