BPHS (Brihat Parāshara Horā Shāstra) mentions many non-luminoius planets in -3. They are five upa-grahas, followed by Kāla-velā, Ardha-prahara, Mrityu, Yamaghanta and Gulika (Mandi), followed by Prāna-pada.
Non-Luminous Sub-planets
Five non-luminous sub-planets are known as Arkadoshas or blemishes of the Sun, which obstruct the astrological light of the Sun and are therefore Aprakaasha. They are Dhooma, Vyatipāta, Parivesha, Indrachāpa and Shikhi (a type of Ketu). All these five non-luminous planets are computed from the longitude of Sun, described in BPHS. If these non-luminous planets are conjunct with Sun then the result is Vamsha-nāsha, if they are conjunct with Moon then the result is Ayu-nāsha, and if they are conjunct with Lagna then the result is Gyāna-nāsha. But if they are influenced with exalted, moola-trikona or svagrihi planets, then these ill effects are reduced or suppressed. In my own chart, the result was Vamsha-nāsha and Ayu-nāsha. Ayu-nāsha (loss of longevity)was warded off by dint of very difficult Tapasyā ordered and guided by an enlightened sādhu (I did not care for longevity, but I followed his instructions due to devotion to him). Due to Vamsha-nāsha in my chart, I always kept away from matrimony. As from Gyāna-nāsha (loss of wisdom), I have watched it in a large number of horoscopes, and found that such persons may possess worldly intelligence but fail to discern the inner reality and in actual life fail to recognize and appreciate the good ethical values in others.
Jātaka-alamkaram provides the list of exaltation, moola-trikona and own sign of these five upagrahas, cited in English version of BPHS by Santhanam.
Kāla-velā, Ardha-prahara, Mrityu, Yamaghanta and Gulika (Mandi)
Day and Night are both divided into eight parts each, five of which are lorded by Sun (Kāla), Mercury (Ardha-prahara or Ardha-yāma), Mars (Mrityu), Jupiter (Yamaghanta) and Saturn (Gulika or Mandi), add "velā" to all these names for their respective durations. Parts of Day or Night lorded by Moon and Venus are not listed in BPHS due to loss of verses, but Jataka-Parijata calls them Paridhi and Kodanda respectively. According to Jātaka-Parijāta, the parts of Rāhu and Ketu are respectively Pāta and Upaketu, but it is wrong because even according to Jātaka-Parijāta (as in BPHS) the eighth part of Day and of Night has no lord and is not inauspicious, and therefore there is no part of Day or Night to be lorded by Rāhu or Ketu.
In Mithila, all these seven parts of Day or Night are called Ardha-praharas and their computations differ from those described in BPHS. In many other parts of India, the computations and nomenclature are different, which have no grounding in ancient classics.
Among all these parts of Day and Night, Gulika has a special role, its onset time is used as Ishta-kāla to cast chart of Gulika-lagna. Gulika is also called Māndi according to BPHS, Jātaka-Parijāta, etc. Jātaka-Parijāta calls them "upagrahas" while BPHS calls them "velā", such as Kāla-velā. Jātaka-alamkaram provides signs owned by these velās/upagrahas as follows :-
Kāla-velā (Sun) : Capricorn (Makara)
Ardha-prahara (Mercury) : Gemini (Mithuna)
Mrityu (Mars) : Scorpio (Vrishchika)
Yamaghanta (Jupiter) : Sagittarius (Dhanu)
Gulika or Mandi (Saturn) : Aquarius (Kumbha)
There are two errors in Jātaka-alamkaram :- Kāla-velā is the part owned by Sun and therefore its own sign must be Leo (Simha). Similarly, the principal own sign of Mars is not Vrishchika (Scorpio) but Mesha (Aries). Othe three are correct in the aforementioned list of Jātaka-alamkaram.
According to BPHS, the fruit of Gulika is auspicious if the longitude of Gulika as computed from the onset tile of Gulika-velā falls in upachaya houses (3 or 6 or 10 or 11 th houses). In all other houses, Gulika is harmful. Hence, only in one third cases Gulika is auspicious.
Although BPHS, Jataka-Parijata, etc state that Gulika is same as Mandi, some astrologers compute them differently, although putting them in same signs, as in JHora software. But those who follows classics should regard Mandi as another name of Gulika.