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Hamsa, Malavya, and Gajakesari Are Three Different Happy Yogas
No text awards one yoga the title of happiest. These three have definitions. Each still needs its dasha, and a fallen planet does not qualify.

Hamsa is Jupiter's mahapurusha yoga
Hamsa yoga forms when Jupiter is in a kendra in Cancer, Sagittarius, or Pisces, its exaltation or own signs. It is one of the five mahapurusha yogas and is the usual Jupiter signature of learning, counsel, and a respected name, if Jupiter is not also ruined by the houses it rules. For a Taurus lagna Jupiter rules the 8th and 11th, so Hamsa, if the sign and kendra allow it, still carries an 8th-lord agenda. Happiness in the verse sense is not a mood guarantee. It is a strong Jupiter doing Jupiter's houses from a kendra. If the dasha of Jupiter, 16 years, never comes in the years you care about, the yoga is a structure you are not currently living.
Malavya and Gajakesari answer other questions
Malavya forms when Venus is in a kendra in Taurus, Libra, or Pisces. Comfort, art, and marriage themes gain a strong Venus. Gajakesari forms when Jupiter is in a kendra from the Moon, regardless of Jupiter's sign. A debilitated Jupiter in Capricorn can still be in a kendra from the Moon and form a thin Gajakesari. It cannot form Hamsa, because Capricorn is the fall, not an own sign or exaltation. People merge these names into one lucky heap. A chart can have Gajakesari without Malavya. It can have a strong Venus in the 3rd, which is not a kendra, and therefore no Malavya, and still have a fine Venus by sign. The happiest yoga is a headline. The definitions are the reading.
Happiness is the dasha of a sound lagna lord too
A mahapurusha yoga in a chart with a fallen lagna lord is a gift the body struggles to use. The lagna lord is the person who has to live the yoga. Ruchaka, Bhadra, and Shasha are the Mars, Mercury, and Saturn versions of the same kendra-and-dignity pattern. Any of them can be the supportive yoga in a given chart. None is universally the one that brings joy. Joy, as far as a kundli can point, is a strong lagna lord, a workable Moon, and a dasha of a planet that rules a kendra or trikona rather than only the 8th.
Frequently asked questions
Which yoga is the most auspicious?
Texts do not crown one. Hamsa, Malavya, and Gajakesari are three strong, different rules. The dasha and the lagna lord decide what you actually feel.
Does Gajakesari need Jupiter exalted?
No. It needs Jupiter in a kendra from the Moon. Exaltation belongs to Hamsa's sign test, along with Jupiter's own signs, plus a kendra from the lagna.
What are the five mahapurusha yogas?
Ruchaka for Mars, Bhadra for Mercury, Hamsa for Jupiter, Malavya for Venus, and Shasha for Saturn, each in a kendra in own or exaltation sign.
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D1, D9, D10, dashas, yogas, and transits, the same calculations referenced in this article.
