{"id":"vidhyamitra:city-day:varanasi:-3171-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3171-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-07-29","date_display":"July 29, 3172 BCE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3171,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563059.770833,"kali_year":-69,"ahargana":-25405.7292,"sun":{"sidereal_longitude":157.707,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":49.8279,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":252.1209,"elapsed_within_tithi_degrees":0.1209},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":49.8279,"elapsed_within_degrees":9.8279},"yoga":{"number":16,"name":"Siddhi","sum_longitude":207.5349},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":-3171,"month":7,"day":29,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563059.770833,"ahargana":-25405.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3745,"grahas":{"sun":{"sidereal_longitude":157.707,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":49.8279,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":-2.6616},"mars":{"sidereal_longitude":57.8651,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":143.8621,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":65.2283,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":162.8997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":226.7307,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":86.1178,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":266.1178,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3171,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563059.770833,"kali_year":-69,"ahargana":-25405.7292,"sun":{"sidereal_longitude":157.707,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":49.8279,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":252.1209,"elapsed_within_tithi_degrees":0.1209},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":49.8279,"elapsed_within_degrees":9.8279},"yoga":{"number":16,"name":"Siddhi","sum_longitude":207.5349},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.662,"elongation":107.879},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.662,"opposition_distance":72.121}},"eclipse_window_40days":[]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:16","sunsetLocal":"18:52","solarNoonLocal":"12:04","dayLengthHours":13.60772305437528,"dayLengthDisplay":"13 Hours 36 Mins 28 Secs","nightLengthDisplay":"10 Hours 23 Mins 32 Secs","moonriseLocal":"22:49","moonsetLocal":"10:56","rahuKala":{"name":"Rāhu Kāla","start":"15:28","end":"17:10","startHours":15.472798370352924,"endHours":17.17376375214983,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:40","end":"10:22","startHours":8.668936843165284,"endHours":10.369902224962194,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:04","end":"13:46","startHours":12.070867606759105,"endHours":13.771832988556014,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:54","startHours":8.442141458925697,"endHours":8.895732227404872,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:50","end":"06:12","startHours":5.833994540170434,"endHours":6.196867154953775,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:31","startHours":11.61727683827993,"endHours":12.52445837523828,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:22","startHours":3.4526430056547603,"endHours":4.359824542613112,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:16","startHours":4.133029158373525,"endHours":5.267006079571464,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:15","startHours":14.338821449154983,"endHours":15.246002986113334,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.674729133946744,"endHours":19.074729133946743,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:27","startHours":18.874729133946744,"endHours":19.441717594545715,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.624729133946744,"endHours":20.374729133946744,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:31","startHours":23.617276838279928,"endHours":24.524458375238282,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:16","end":"06:58","startHours":5.267006079571464,"endHours":6.967971461368374,"quality":"inauspicious"},{"name":"Udveg","start":"06:58","end":"08:40","startHours":6.967971461368374,"endHours":8.668936843165284,"quality":"inauspicious"},{"name":"Chala","start":"08:40","end":"10:22","startHours":8.668936843165284,"endHours":10.369902224962194,"quality":"neutral"},{"name":"Labha","start":"10:22","end":"12:04","startHours":10.369902224962194,"endHours":12.070867606759105,"quality":"auspicious"},{"name":"Amṛta","start":"12:04","end":"13:46","startHours":12.070867606759105,"endHours":13.771832988556014,"quality":"auspicious"},{"name":"Kāla","start":"13:46","end":"15:28","startHours":13.771832988556014,"endHours":15.472798370352924,"quality":"inauspicious"},{"name":"Śubha","start":"15:28","end":"17:10","startHours":15.472798370352924,"endHours":17.17376375214983,"quality":"auspicious"},{"name":"Roga","start":"17:10","end":"18:52","startHours":17.17376375214983,"endHours":18.874729133946744,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:52","end":"20:10","startHours":18.874729133946744,"endHours":20.173763752149835,"quality":"inauspicious"},{"name":"Śubha","start":"20:10","end":"21:28","startHours":20.173763752149835,"endHours":21.472798370352923,"quality":"auspicious"},{"name":"Roga","start":"21:28","end":"22:46","startHours":21.472798370352923,"endHours":22.771832988556014,"quality":"inauspicious"},{"name":"Udveg","start":"22:46","end":"00:04","startHours":22.771832988556014,"endHours":24.070867606759105,"quality":"inauspicious"},{"name":"Chala","start":"00:04","end":"01:22","startHours":24.070867606759105,"endHours":25.369902224962196,"quality":"neutral"},{"name":"Labha","start":"01:22","end":"02:40","startHours":25.369902224962196,"endHours":26.668936843165284,"quality":"auspicious"},{"name":"Amṛta","start":"02:40","end":"03:58","startHours":26.668936843165284,"endHours":27.967971461368375,"quality":"auspicious"},{"name":"Kāla","start":"03:58","end":"05:16","startHours":27.967971461368375,"endHours":29.267006079571466,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.267006079571464,"endHours":6.267006079571464,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.267006079571464,"endHours":7.267006079571464,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.267006079571464,"endHours":8.267006079571464,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.267006079571464,"endHours":9.267006079571464,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.267006079571464,"endHours":10.267006079571464,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.267006079571464,"endHours":11.267006079571464,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.267006079571464,"endHours":12.267006079571464,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.267006079571464,"endHours":13.267006079571464,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.267006079571464,"endHours":14.267006079571464,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.267006079571464,"endHours":15.267006079571464,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.267006079571464,"endHours":16.267006079571466,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.267006079571466,"endHours":17.267006079571466,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.267006079571466,"endHours":18.267006079571466,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.267006079571466,"endHours":19.267006079571466,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.267006079571466,"endHours":20.267006079571466,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.267006079571466,"endHours":21.267006079571466,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.267006079571466,"endHours":22.267006079571466,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.267006079571466,"endHours":23.267006079571466,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.267006079571466,"endHours":24.267006079571466,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.267006079571466,"endHours":25.267006079571466,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.267006079571466,"endHours":26.267006079571466,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.267006079571466,"endHours":27.267006079571466,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.267006079571466,"endHours":28.267006079571466,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.267006079571466,"endHours":29.267006079571466,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.043205049610364,"eotMinutes":-6.147656405546237,"ayanamsa":-48.3745}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Saptamī · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 29, 3172 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"July 29, 3172 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Saptamī, sūryodaya 05:16, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3171-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3171-07-29","sa":"https://sa.vidhyamitra.com/city/varanasi/-3171-07-29","hi":"https://hi.vidhyamitra.com/city/varanasi/-3171-07-29","x-default":"https://vidhyamitra.com/city/varanasi/-3171-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T09:17:39.029Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-09-12T09:17:39.029Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T09:17:39.029Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}