Let’s look at important things here –
Mars - Mars represents our will power, courage, ability to take actions, aggressive nature, anger, our fighting ability, brother, male friends, a boy friend for a girl, a soldier, an athlete and real estate etc.
Uttara Ashadha Nakshatra - It is a nakshatra of career driven people. People who look for authority in life and are highly ambitious. Please check this link to get more information on Uttara Ashadha Nakshatra - https://www.astrosaxena.com/uanaksh.
Sagittarius - As Uttara 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.
Capricorn - As Uttara Ashadha is also 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.
Sun - As Sun rules Uttara Ashadha, Sun's position and dignity is important to know about the overall functioning of any planet in Uttara Ashadha.
Jupiter - As Jupiter rules Sagittarius, their position and dignity is important to know about the overall functioning of any planet in Uttara Ashadha/Sagittarius.
Saturn - As Saturn rules Capricorn, their position and dignity is important to know about the overall functioning of any planet in Uttara Ashadha/Capricorn
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 Mars in Uttara Ashadha Nakshatra – Now, Mars is in a nakshatra which is career oriented or ambitious by nature. As Mars basic nature is also about being a go-getter and active/ambitious, this can show a person who is highly ambitious and active in matters of career, authority and recognition. It is more so in Capricorn portion of Uttara Ashadha because it is sign of authority & recognition itself and Mars is also exalted in Capricorn. In Sagittarius, Mars and Uttara Ashadha energy can be driven towards gaining and sharing knowledge. We can say that their ambition is only limited up to gaining and sharing knowledge but Mars in Capricorn/Uttara Ashadha person would love to get authority and recognition out of the higher education. In Capricorn portion, they can be very hard working too which means they deserve what they achieve in their career. In Capricorn section, success may be delayed due to Saturn's lordship. They can also be inclined towards working in Govt or Legal Field as Sagittarius and Capricorn both represent Law. As Mars is in excellent dignity in both signs and as Uttara Ashadha lord Sun is also Mars's best friend, Mars is very powerful here. In Sagittarius section, again the problem can be there fundamentalist views on religions and belief system whereas in Capricorn section, person can be open towards different views, beliefs and thoughts as Mars is exalted there.
Role of Sun – Sun placement is important to guide Mars in right direction as it is lord of Uttara Ashadha
Role of Jupiter - Also, Jupiter placement is important to guide Mars in right direction, being Sagittarius lord.
Role of Saturn - Also, Saturn placement is important to guide Mars in right direction, being Capricorn 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 Mars in Uttara 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 Mars in Uttara Ashadha can work in a chart.
Hope this helps. Please post any comment or query you may have.