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Let’s look at important things here –
Jupiter - It is the most benefic planet and it represents all the auspicious things like Knowledge, Wisdom, Law, Guru, Spirituality, Religion, Philosophy, Literature, Elderly People and Children etc. For a girl, Jupiter also represents Husband.
Purva Ashadha Nakshatra - It is a nakshatra of higher education, analysis and research. It is also nakshatra of giving care to others. For more information on Purva Ashadha Nakshatra, please read this - https://www.astrosaxena.com/panaksh .
Sagittarius - As Purva Ashadha is part of Sagittarius sign, Sagittarius and things represented by Sagittarius are important here. Sagittarius is the 9th sign of Zodiac Belt, hence it represents many things related with the 9th house of horoscope like Religion, Knowledge, Wisdom, Higher Learnings, Gurus, Teachings from your Father etc. Besides it also represents Coaching, Universities, Professors and Preachers, Higher Wisdom, Written Law of the Land etc. Sagittarius has 2 and half nakshatra which are Mula, Purva-Ashadha and Uttara-Ashadha. Sagittarius' lord is Jupiter.
Venus - As Venus rules Purva Ashadha, Venus's position and dignity is important to know about the overall functioning of any planet in Purva Ashadha.
Jupiter - As Jupiter rules Sagittarius, their position and dignity is important to know about the overall functioning of any planet in Purva Ashadha/Sagittarius.
Houses Involved – Also, we can’t afford to forget the houses involved as a planet can be ruling different houses and sitting in different house for every person as per ascendant and planet’s position. To know overall affect, we have to consider the houses involved as those areas of life are being impacted.
Interpretation of Jupiter in Purva Ashadha Nakshatra – Now, Jupiter is in own sign but it is in enemy nakshatra ruled by Venus. So, it again gets into an average position. It is a nakshatra of higher or specified education. It is like someone doing post-graduation or Doctorate. So, when knowledge-giving Jupiter is in this nakshatra, it can expand someone's knowledge to a different level altogether. Jupiter in any nakshatra in Sagittarius will be seen as a knowledgeable and learned person. Now, it is not necessary that it should be an academic education and person should have degrees to prove his knowledge. It is just that person attains knowledge at higher level by any means. As it is also nakshatra of rationalization, it shows that someone can be very good at decision making or rationalizing things. They can be very good at reasoning. They can easily work in any knowledge sharing field as teacher/professor or counselor/guides. As Jupiter is in Venus ruled nakshatra, it can enhance person's creativity and wealth too.
Same ability of reasoning and rationalizing things can be seen as knit-picking trait in relationship and can lead to some conflicts and disputes there. Also, as Jupiter is in nakshatra of enemy Venus, it is enough to feel frustrated in relationship.
Role of Venus – Venus placement is important to guide Jupiter in right direction, being Purva Ashadha's lord.
Role of Jupiter - As we are interpreting Jupiter only, we need not to look at Jupiter's position separately as Sagittarius's lord.
Other Factors – And of course, we need to consider conjunction, aspects, house lordship, house position and dashas etc to know the exact results of Jupiter in Purva Ashadha. So, we always need to take a holistic view of chart rather than just 1 planetary position.
Conclusion – So, this is how I see Jupiter in Purva Ashadha can work in a chart.