Sanskrit verses with English translation from Maharishi Parasara. Read the full classical treatise on AstroFusion Learning.
धूमो व्यतीपातः परिवेश उपकेतुरिन्द्रचापः कलशूलिनौ च । गुलिकोऽर्धयमे समुद्दिश्य उपग्रहाः प्रकीर्तिताः ॥
dhūmo vyatīpātaḥ pariveśa upaketur indracāpaḥ kala-śūlinau ca | guliko 'rdha-yame samuddiśya upagrahaḥ prakīrtitāḥ ||
Dhuma, Vyatipata, Parivesha, Upaketu, Indrachapa, Kala, Yamaghanta and Gulika — these eight are the Upagrahas (subsidiary planets); Gulika is computed from half of Yama (Saturn).
रविस्फुटाच्चतुर्थं तु धूमः ख्यातो मनीषिभिः । द्वादशाद्धूमहीनो यो व्यतीपातः प्रकीर्तितः ॥
ravisphuṭāc caturthaṃ tu dhūmaḥ khyāto manīṣibhiḥ | dvādaśād dhūma hīno yo vyatīpātaḥ prakīrtitaḥ ||
Four signs computed forward from the true longitude of the Sun is known as Dhuma; that same Dhuma deducted from twelve signs gives what is declared as Vyatipata.
व्यतीपाताच्च षष्ठं तु परिवेशः प्रकीर्तितः । चापस्तस्य विपर्यासो वेता तस्मात्त्रिंशांशकात् ॥
vyatīpātāc ca ṣaṣṭhaṃ tu pariveśaḥ prakīrtitaḥ | cāpas tasya viparyāso vetā tasmāt triṃśāṃśakāt ||
Six signs beyond Vyatipata stands Parivesha; its inversion (deducted from twelve signs) yields Chapa (Indrachapa); thirty degrees counted from Chapa stands Upaketu.