{"id":"vidhyamitra:city-day:ujjain:-3164-12-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3164-12-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3164-12-07","date_display":"December 7, 3165 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":-3164,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565747.770833,"kali_year":-62,"ahargana":-22717.7292,"sun":{"sidereal_longitude":290.6594,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":179.3448,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":248.6854,"elapsed_within_tithi_degrees":8.6854},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":179.3448,"elapsed_within_degrees":6.0115},"yoga":{"number":9,"name":"Śūla","sum_longitude":110.0042},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":-3164,"month":12,"day":7,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565747.770833,"ahargana":-22717.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2717,"grahas":{"sun":{"sidereal_longitude":290.6594,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"moon":{"sidereal_longitude":179.3448,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-3.714},"mars":{"sidereal_longitude":319.7751,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":281.3963,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":271.1662,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":304.0455,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":309.0905,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":303.6946,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.6946,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"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":-3164,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565747.770833,"kali_year":-62,"ahargana":-22717.7292,"sun":{"sidereal_longitude":290.6594,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":179.3448,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":248.6854,"elapsed_within_tithi_degrees":8.6854},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":179.3448,"elapsed_within_degrees":6.0115},"yoga":{"number":9,"name":"Śūla","sum_longitude":110.0042},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.714,"elongation":111.315},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.714,"opposition_distance":68.685}},"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":"06:52","sunsetLocal":"17:46","solarNoonLocal":"12:19","dayLengthHours":10.893553054835944,"dayLengthDisplay":"10 Hours 53 Mins 37 Secs","nightLengthDisplay":"13 Hours 06 Mins 23 Secs","moonriseLocal":"22:20","moonsetLocal":"11:27","rahuKala":{"name":"Rāhu Kāla","start":"15:03","end":"16:24","startHours":15.042093321653365,"endHours":16.40378745350786,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:36","end":"10:57","startHours":9.595316794235394,"endHours":10.957010926089886,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:19","end":"13:41","startHours":12.318705057944381,"endHours":13.680399189798873,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:25","end":"09:47","startHours":9.413757576654795,"endHours":9.776876011815993,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:20","end":"07:37","startHours":7.325826574477906,"endHours":7.616321322606865,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:41","startHours":11.955586622783182,"endHours":12.681823493105577,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:25","end":"06:09","startHours":5.419454789881616,"endHours":6.145691660204012,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:52","startHours":5.964132442623413,"endHours":6.871928530526408,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:52","startHours":14.13429723375037,"endHours":14.860534104072766,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.565481585362352,"endHours":17.96548158536235,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:13","startHours":17.765481585362352,"endHours":18.21937962931385,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.515481585362352,"endHours":19.265481585362352,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:41","startHours":23.95558662278318,"endHours":24.681823493105576,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:52","end":"08:14","startHours":6.871928530526408,"endHours":8.2336226623809,"quality":"inauspicious"},{"name":"Udveg","start":"08:14","end":"09:36","startHours":8.2336226623809,"endHours":9.595316794235394,"quality":"inauspicious"},{"name":"Chala","start":"09:36","end":"10:57","startHours":9.595316794235394,"endHours":10.957010926089886,"quality":"neutral"},{"name":"Labha","start":"10:57","end":"12:19","startHours":10.957010926089886,"endHours":12.318705057944381,"quality":"auspicious"},{"name":"Amṛta","start":"12:19","end":"13:41","startHours":12.318705057944381,"endHours":13.680399189798873,"quality":"auspicious"},{"name":"Kāla","start":"13:41","end":"15:03","startHours":13.680399189798873,"endHours":15.042093321653365,"quality":"inauspicious"},{"name":"Śubha","start":"15:03","end":"16:24","startHours":15.042093321653365,"endHours":16.40378745350786,"quality":"auspicious"},{"name":"Roga","start":"16:24","end":"17:46","startHours":16.40378745350786,"endHours":17.765481585362352,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:46","end":"19:24","startHours":17.765481585362352,"endHours":19.40378745350786,"quality":"inauspicious"},{"name":"Śubha","start":"19:24","end":"21:03","startHours":19.40378745350786,"endHours":21.042093321653365,"quality":"auspicious"},{"name":"Roga","start":"21:03","end":"22:41","startHours":21.042093321653365,"endHours":22.680399189798873,"quality":"inauspicious"},{"name":"Udveg","start":"22:41","end":"00:19","startHours":22.680399189798873,"endHours":24.318705057944378,"quality":"inauspicious"},{"name":"Chala","start":"00:19","end":"01:57","startHours":24.318705057944378,"endHours":25.957010926089886,"quality":"neutral"},{"name":"Labha","start":"01:57","end":"03:36","startHours":25.957010926089886,"endHours":27.595316794235394,"quality":"auspicious"},{"name":"Amṛta","start":"03:36","end":"05:14","startHours":27.595316794235394,"endHours":29.233622662380903,"quality":"auspicious"},{"name":"Kāla","start":"05:14","end":"06:52","startHours":29.233622662380903,"endHours":30.871928530526407,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:52","end":"07:52","startHours":6.871928530526408,"endHours":7.871928530526408,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:52","end":"08:52","startHours":7.871928530526408,"endHours":8.871928530526407,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:52","end":"09:52","startHours":8.871928530526407,"endHours":9.871928530526407,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:52","end":"10:52","startHours":9.871928530526407,"endHours":10.871928530526407,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:52","end":"11:52","startHours":10.871928530526407,"endHours":11.871928530526407,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:52","end":"12:52","startHours":11.871928530526407,"endHours":12.871928530526407,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:52","end":"13:52","startHours":12.871928530526407,"endHours":13.871928530526407,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:52","end":"14:52","startHours":13.871928530526407,"endHours":14.871928530526407,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:52","end":"15:52","startHours":14.871928530526407,"endHours":15.871928530526407,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:52","end":"16:52","startHours":15.871928530526407,"endHours":16.871928530526407,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:52","end":"17:52","startHours":16.871928530526407,"endHours":17.871928530526407,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:52","end":"18:52","startHours":17.871928530526407,"endHours":18.871928530526407,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:52","end":"19:52","startHours":18.871928530526407,"endHours":19.871928530526407,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:52","end":"20:52","startHours":19.871928530526407,"endHours":20.871928530526407,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:52","end":"21:52","startHours":20.871928530526407,"endHours":21.871928530526407,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:52","end":"22:52","startHours":21.871928530526407,"endHours":22.871928530526407,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:52","end":"23:52","startHours":22.871928530526407,"endHours":23.871928530526407,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:52","end":"00:52","startHours":23.871928530526407,"endHours":24.871928530526407,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:52","end":"01:52","startHours":24.871928530526407,"endHours":25.871928530526407,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:52","end":"02:52","startHours":25.871928530526407,"endHours":26.871928530526407,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:52","end":"03:52","startHours":26.871928530526407,"endHours":27.871928530526407,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:52","end":"04:52","startHours":27.871928530526407,"endHours":28.871928530526407,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:52","end":"05:52","startHours":28.871928530526407,"endHours":29.871928530526407,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:52","end":"06:52","startHours":29.871928530526407,"endHours":30.871928530526407,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.636161770837926,"eotMinutes":7.723696523337262,"ayanamsa":-48.2717}},"calendars":{"vikram_samvat":-3107,"saka_samvat":-3242,"bengali_samvat":-3757,"malayalam_era":-3988,"nanakshahi_year":-4633,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Ṣaṣṭhī · Vikram -3107 undefined · Śaka -3242 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":"ujjain"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 7, 3165 BCE · Ujjain · Vidhyamitra","description":"December 7, 3165 BCE for Ujjain: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:52, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3164-12-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3164-12-07","sa":"https://sa.vidhyamitra.com/city/ujjain/-3164-12-07","hi":"https://hi.vidhyamitra.com/city/ujjain/-3164-12-07","x-default":"https://vidhyamitra.com/city/ujjain/-3164-12-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T12:07:31.053Z","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":"2026-09-06T12:07:31.053Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T12:07:31.053Z","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"}}}