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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.
Dhanishtha Nakshatra - It is a nakshatra related with wealth, luxury and lavish life. It is also a nakshatra related with music. Also, it is a nakshatra of celibacy. Please check this link for more info on Dhanishtha Nakshatra - https://www.astrosaxena.com/Dhannaksh.
Capricorn - As Dhanishtha is part of Capricorn sign, Capricorn and things represented by Capricorn are also important here. Capricorn is the 10th sign of zodiac belt, hence it represents many things related with 10th house of horoscope like Law and Order, Government, Authority, Organisation, Discipline etc. Besides it also represents World outside your home and people, Fear and Anxiety etc. Capricorn is consisted of next 2 and half Nakshatra, i.e. Uttar-Ashadha, Shravana and Dhanishtha. Capricorn is ruled by Saturn and that's why it represents Fear and Anxiety.
Aquarius - As Dhanishtha is also a part of Aquarius sign, Aquarius and things represented by Aquarius are also important here. Aquarius is 11th sign of zodiac belt, hence it signifies the things and energy related with 11th house of horoscope, such as Gains, Desires, Hopes and Wishes, Large Organisations, Network Circles etc. Besides this, Aquarius also represents Scientific Thinking & Research, Uplifting the Society, Higher Goals & Rewards for all. Aquarius is made of another set of 2 and half Nakshatra, i.e. Dhanishtha, Satabhisha and Purva-Bhadrapada. Aquarius Lord is Saturn & Rahu.
Mars - As Mars rules Dhanishtha, Mars's position and dignity is important to know about the overall functioning of any planet in Dhanishtha.
Saturn & Rahu - As Saturn rules Capricorn & Aquarius and Rahu co-rules Aquarius, their position and dignity is important to know about the overall functioning of any planet in Dhanishtha/Capricorn and Dhanishtha/Aquarius.
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 Dhanishtha Nakshatra – Here, Jupiter is in Nakshatra of friend Mars but in both signs Capriicorn/Aquarius, it is losing its dignity. So, we can say that this position of Jupiter is challenging one, especially in matters of relationships. As Dhanishtha is nakshatra of finance, wealth, luxury/conveniences and assets etc, Jupiter can expand materialistic benefits of the person. This person can become very rich but wealth will grow gradually as it is in Saturn sign. These people can be guide or consultants in matters of finance and assets related matters. This nakshatra is also closely connected with Music/Dance as Flutes/Drums are its pictorial representation. So, they can have good creative abilities and they can also be teachers or guides to others in such creative pursuits. This position can give them real big houses or they can be real estate brokers etc. It is one of the best placement for materialistic gains.
But at the same time, Dhanishtha is nakshatra of Celibacy and Marital Discord. As Jupiter is karaka of Married Life, this position can either create a situation where person doesn't want to get in to marriage or relationship kind of thing or even if they get into it, then it can lead to many conflicts or disagreement in relationship. So, for marriage matters, it may not be a good position. At the same time, person can become a relationship counselor.
Role of Mars – Mars placement is important to guide Jupiter in right direction, being Dhanishtha Lord.
Role of Saturn & Rahu - Also, Saturn-Rahu placement is important to guide Jupiter in right direction, being Capricorn & Aquarius lords.
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 Dhanishtha. 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 Dhanishtha can work in a chart.