{"id":"vidhyamitra:city-day:ujjain:-3181-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3181-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-10-16","date_display":"October 16, 3182 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":-3181,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559485.770833,"kali_year":-79,"ahargana":-28979.7292,"sun":{"sidereal_longitude":236.679,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":113.7945,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.1155,"elapsed_within_tithi_degrees":9.1155},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":113.7945,"elapsed_within_degrees":7.1278},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.4734},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3181,"month":10,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559485.770833,"ahargana":-28979.7292,"kali_year":-79,"ayanamsa_lahiri":-48.5112,"grahas":{"sun":{"sidereal_longitude":236.679,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":113.7945,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false,"latitude":-1.4123},"mars":{"sidereal_longitude":269.2282,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":228.1818,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":125.4673,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":284.0754,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":124.2025,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":275.4855,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":95.4855,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"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":-3181,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559485.770833,"kali_year":-79,"ahargana":-28979.7292,"sun":{"sidereal_longitude":236.679,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":113.7945,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.1155,"elapsed_within_tithi_degrees":9.1155},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":113.7945,"elapsed_within_degrees":7.1278},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.4734},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.412,"elongation":122.884},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.412,"opposition_distance":57.116}},"eclipse_window_40days":[]},"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:14","sunsetLocal":"18:10","solarNoonLocal":"12:12","dayLengthHours":11.935900389392382,"dayLengthDisplay":"11 Hours 56 Mins 09 Secs","nightLengthDisplay":"12 Hours 03 Mins 51 Secs","moonriseLocal":"21:19","moonsetLocal":"10:41","rahuKala":{"name":"Rāhu Kāla","start":"10:42","end":"12:12","startHours":10.704650291806269,"endHours":12.196637840480317,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:11","end":"16:40","startHours":15.180612937828412,"endHours":16.67260048650246,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:43","end":"09:13","startHours":7.720675194458173,"endHours":9.21266274313222,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:25","startHours":9.01373106997568,"endHours":9.41159441628876,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:44","end":"07:03","startHours":6.7260168286754745,"endHours":7.044307505725938,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:36","startHours":11.798774494167239,"endHours":12.594501186793396,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:38","end":"05:26","startHours":4.637234260531808,"endHours":5.432960953157966,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:14","startHours":5.234029280001427,"endHours":6.228687645784126,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"14:59","startHours":14.185954572045713,"endHours":14.981681264671872,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:58","end":"18:22","startHours":17.964588035176508,"endHours":18.364588035176507,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:10","end":"18:40","startHours":18.164588035176507,"endHours":18.661917218067856,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:55","end":"19:40","startHours":17.914588035176507,"endHours":19.664588035176507,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:36","startHours":23.798774494167237,"endHours":24.594501186793398,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:14","end":"07:43","startHours":6.228687645784126,"endHours":7.720675194458173,"quality":"neutral"},{"name":"Labha","start":"07:43","end":"09:13","startHours":7.720675194458173,"endHours":9.21266274313222,"quality":"auspicious"},{"name":"Amṛta","start":"09:13","end":"10:42","startHours":9.21266274313222,"endHours":10.704650291806269,"quality":"auspicious"},{"name":"Kāla","start":"10:42","end":"12:12","startHours":10.704650291806269,"endHours":12.196637840480317,"quality":"inauspicious"},{"name":"Śubha","start":"12:12","end":"13:41","startHours":12.196637840480317,"endHours":13.688625389154364,"quality":"auspicious"},{"name":"Roga","start":"13:41","end":"15:11","startHours":13.688625389154364,"endHours":15.180612937828412,"quality":"inauspicious"},{"name":"Udveg","start":"15:11","end":"16:40","startHours":15.180612937828412,"endHours":16.67260048650246,"quality":"inauspicious"},{"name":"Chala","start":"16:40","end":"18:10","startHours":16.67260048650246,"endHours":18.164588035176507,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:10","end":"19:40","startHours":18.164588035176507,"endHours":19.67260048650246,"quality":"inauspicious"},{"name":"Udveg","start":"19:40","end":"21:11","startHours":19.67260048650246,"endHours":21.18061293782841,"quality":"inauspicious"},{"name":"Chala","start":"21:11","end":"22:41","startHours":21.18061293782841,"endHours":22.688625389154364,"quality":"neutral"},{"name":"Labha","start":"22:41","end":"00:12","startHours":22.688625389154364,"endHours":24.196637840480317,"quality":"auspicious"},{"name":"Amṛta","start":"00:12","end":"01:42","startHours":24.196637840480317,"endHours":25.704650291806267,"quality":"auspicious"},{"name":"Kāla","start":"01:42","end":"03:13","startHours":25.704650291806267,"endHours":27.21266274313222,"quality":"inauspicious"},{"name":"Śubha","start":"03:13","end":"04:43","startHours":27.21266274313222,"endHours":28.720675194458174,"quality":"auspicious"},{"name":"Roga","start":"04:43","end":"06:14","startHours":28.720675194458174,"endHours":30.228687645784127,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:14","end":"07:14","startHours":6.228687645784126,"endHours":7.228687645784126,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:14","end":"08:14","startHours":7.228687645784126,"endHours":8.228687645784126,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:14","end":"09:14","startHours":8.228687645784126,"endHours":9.228687645784126,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:14","end":"10:14","startHours":9.228687645784126,"endHours":10.228687645784126,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:14","end":"11:14","startHours":10.228687645784126,"endHours":11.228687645784126,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:14","end":"12:14","startHours":11.228687645784126,"endHours":12.228687645784126,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:14","end":"13:14","startHours":12.228687645784126,"endHours":13.228687645784126,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:14","end":"14:14","startHours":13.228687645784126,"endHours":14.228687645784126,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:14","end":"15:14","startHours":14.228687645784126,"endHours":15.228687645784126,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:14","end":"16:14","startHours":15.228687645784126,"endHours":16.228687645784127,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:14","end":"17:14","startHours":16.228687645784127,"endHours":17.228687645784127,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:14","end":"18:14","startHours":17.228687645784127,"endHours":18.228687645784127,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:14","end":"19:14","startHours":18.228687645784127,"endHours":19.228687645784127,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:14","end":"20:14","startHours":19.228687645784127,"endHours":20.228687645784127,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:14","end":"21:14","startHours":20.228687645784127,"endHours":21.228687645784127,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:14","end":"22:14","startHours":21.228687645784127,"endHours":22.228687645784127,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:14","end":"23:14","startHours":22.228687645784127,"endHours":23.228687645784127,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:14","end":"00:14","startHours":23.228687645784127,"endHours":24.228687645784127,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:14","end":"01:14","startHours":24.228687645784127,"endHours":25.228687645784127,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:14","end":"02:14","startHours":25.228687645784127,"endHours":26.228687645784127,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:14","end":"03:14","startHours":26.228687645784127,"endHours":27.228687645784127,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:14","end":"04:14","startHours":27.228687645784127,"endHours":28.228687645784127,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:14","end":"05:14","startHours":28.228687645784127,"endHours":29.228687645784127,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:14","end":"06:14","startHours":29.228687645784127,"endHours":30.228687645784127,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.23933284779308,"eotMinutes":15.04772957118102,"ayanamsa":-48.5112}},"calendars":{"vikram_samvat":-3124,"saka_samvat":-3259,"bengali_samvat":-3774,"malayalam_era":-4005,"nanakshahi_year":-4650,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Pañcamī · Vikram -3124 undefined · Śaka -3259 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"ujjain"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 16, 3182 BCE · Ujjain · Vidhyamitra","description":"October 16, 3182 BCE for Ujjain: Kṛṣṇa Pañcamī, sūryodaya 06:14, sūryāsta 18:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3181-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3181-10-16","sa":"https://sa.vidhyamitra.com/city/ujjain/-3181-10-16","hi":"https://hi.vidhyamitra.com/city/ujjain/-3181-10-16","x-default":"https://vidhyamitra.com/city/ujjain/-3181-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-07T22:41:28.499Z","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":"2026-09-07T22:41:28.499Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-07T22:41:28.499Z","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"}}}