ISR says birthdate of Lord Rama is 10th January 5114 BC. What about Kalki avatar?

Question

As per ISR scientific study and research, Lord Rama's birth date is calculated as 10^th january 5114 BCE. They used a software named Planetorium, simulated arrangement of planets as per Valmiki Ramayana and determined that the same arrangement of planets existed in 5114 BCE.

Note the position of stars at the time of Rama's birth that Valmiki states in Ramayana Bala Kanda, Sarga 18, Shlokas 8-11:

ततो यज्ञे समाप्ते तु ऋतूनाम् षट् समत्ययुः |
ततः च द्वादशे मासे चैत्रे नावमिके तिथौ || १-१८-८

नक्क्षत्रे अदिति दैवत्ये स्व उच्छ संस्थेषु पंचसु |
ग्रहेषु कर्कटे लग्ने वाक्पता इंदुना सह || १-१८-९

प्रोद्यमाने जगन्नाथम् सर्व लोक नमस्कृतम् |
कौसल्या अजनयत् रामम् सर्व लक्षण संयुतम् || १-१८-१०

विष्णोः अर्धम् महाभागम् पुत्रम् ऐक्ष्वाकु नंदनम् |
लोहिताक्षम् महाबाहुम् रक्त ओष्टम् दुंदुभि स्वनम् || १-१८-११

On completion of the ritual, six seasons have passed by; then in the twelfth month, i.e., in chaitra mAsa, and on the ninth day of that chaitra month [April-May], when it is punarvasu nakshatra yukta navamI tithi, i.e., when the ruling star of that ninth day is punarvasu, for which Aditi is the presiding deity; and when five of the nine planets - sUrya, kuja, guru, shukra, shani are in ucCha sthAna-s, namely, when those planets are in ascension in their respective houses - meSha, makara, karkaTa, mIna, tula - rAshI-s; and when chandra yukta guru, karkaTa lagne - Jupiter in conjuction with Moon is ascendant in Cancer, and when day is advancing, Queen Kausalya gave birth to a son with all the divine attributes like lotus-red eyes, lengthy arms, roseate lips, voice like drumbeat, and who took birth to delight the Ikshwaku dynasty and adored by all the worlds, and who is the greatly blessed epitome of Vishnu, namely Rama. [1-18-8, 9, 10, 11]

_{To summarize, the conditions were:}

1. _{9th day after New Moon in Chaitra Lunar Month}
2. _{Moon was in Punarvasu Nakshatra (20 deg Gemini to 3.20 deg Cancer)}
3. _{Sun in Aries (Su "exaltation" sign is Aries)}
4. _{Mars in Capricorn (Ma "exaltation" sign is Capricorn)}
5. _{Saturn in Libra (Sa "exaltation" sign is Libra)}
6. _{Jupiter in Cancer (Ju "exaltation" sign is Cancer)}
7. _{Venus in Pisces (Ve "exaltation" sign is Pisces)}
8. _{As soon as Moon moved closer to Jupiter and Cancer rose on the Horizon (East Direction / Lagna / First House in Vedic Astrology), Shri Rama was born}

_{Also they validated all the incidents like Bharata's date of birth, Hanuman visiting Lanka to find Seeta that time Lunar Eclipse took place. All of these dates were validated and their research concluded that Rama existed in 5114 BC.}

_{Following is the image of planets in Planetorium software when Rama took birth.}

_{Also they found the date of Mahabharata to be some 3000 BC.}

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Questions:

Current year is 2015. So 7000 years before now, Lord Rama existed and you can see the difference between Lord Rama (Treta-yuga) and Mahabharata (Dwapara-yuga) is only 2000 years scientifically. Then why Kaliyuga is lasting from 5000 years? Is this true as per Hinduism?

Also, are locations or arrangments of planets mentioned for Kalki avatar's birth or pralaya in any other purana?

If it is there, can we simulate in planetorium software and find out when Kalki will be born?

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_References:

1. _{Quora.com: When & Where was Lord Rama born and what evidence is there to substantiate this?}
2. _{sarojbala.blogspot.in: Scientific Dating of Ramayana}
3. _{sarojbala.blogspot.in: Slides on Astronomical dating of events in Ramayana}

Answer 1

In my view the above study went wrong. My opinion on this issue is as follows:

1) According to the Scientific dating conducted by many scholars, The Great War of Mahabharat between the Pandavas and the Kauravas happened in 3139 BC. The Pandavas, after winning the Mahabharat war, ruled Hastinapur for 36 years and 8 months until the beginning of kaliyug in 3102 BC.

2) Srimad Ramayana was written much earlier to Mahabharata. In the 272-289 Sections of Vana Parva of Mahabharata, the story of Sri Rama was narrated to Yuddhistara by Sage Markandeya. Though the story contains minor variations compared to the story told in the Srimad Ramayana, those episodes describe the story of Sri Rama in full. As the story of Sri Rama was narrated in full to Yuddhisthira in Mahabharata, we can safely conclude that Srimad Ramayana was written much earlier to Mahabharata.

3) The story of Srimad Ramayana ends with Sri Rama's coronation as the King of Kosala Kingdom. Sage Valmiki describes in the concluding chapter of Yuddha Kanda that having enjoyed the kingship for ten thousand years, Sri Rama performed a hundred horse-sacrifices. It was described very briefly about the happy life of the people of Kosala kingdom during the reign of Sri Rama.

सर्वे लक्षणसम्पन्नाः सर्वे धर्मपरायणाः || दशवर्षसहस्राणि रामो राज्यमकारयत् | (Yuddha Kanda 128 Sarga 106 Sloka)

"All the people were endowed with excellent characteristics. All were engaged in virtue. Rama was engaged in the kingship thus **for Ten thousand years."

4) If we take 3102 BC as the basis for the Mahabharata dating, then at least 10,000 years are to be added, assuming that Mahabharata immediately followed Sri Rama, to 3102 BC for getting the age of Sri Rama. Thus, we will get 13,102 BC. That means atleast 15,000 years back Srimad Ramayana might have written.

This was the available calculation.