Astrology has been done on Earth for centuries, based on the position of the planets with respect to the constellations.
Has anyone given thought to what astrology (whether you believe in it or not) would be like on Mars? Earth would be like any other planet (Mercury, Venus, Jupiter, Saturn), and there would be two moons to contend with.
From a very limited knowledge of astrology, the location and time of a person's birth, and the current location and time, plus where the planets are in the sky at those points has some predictive capacity.
Personality traits, for example, might be discerned from the location of the planets (knowing exact place and time of birth on Earth). Astrology, from my understanding, is subjective, but perhaps someone with a better knowledge of the topic might be able to help.
Looking up the influence of Mars on an Earthbound astrology chart turns up things like,
"Mars is associated with passion and sex drive" and "Mars symbolizes raw energy, action, and self-assertion,"
and with Venus:
"Venus has dual rulership over Libra and Taurus. As a result, Venus represents two main areas of our life: love and money,"
It isn't clear how those were figured out. If Mars is colonized, people might bring traditions from Earth, and astrology might be one of them. So, at one point, people might ask "What is the influence of Earth in your astrological sign?"
If astrology was to evolve by indigenous beings, it might look completely different (see @Anton-Sherwood's answer), but how would humans adapt Earthly astrology to Mars?