{"id":"vidhyamitra:city-day:ujjain:-3164-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3164-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3164-12-04","date_display":"December 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565744.770833,"kali_year":-62,"ahargana":-22720.7292,"sun":{"sidereal_longitude":287.5953,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":140.0835,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.4882,"elapsed_within_tithi_degrees":8.4882},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.0835,"elapsed_within_degrees":6.7501},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.6788},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565744.770833,"ahargana":-22720.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2718,"grahas":{"sun":{"sidereal_longitude":287.5953,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":140.0835,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":-1.2565},"mars":{"sidereal_longitude":317.4688,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":276.0788,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":270.4715,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":300.2684,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":308.7325,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":303.8536,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.8536,"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":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565744.770833,"kali_year":-62,"ahargana":-22720.7292,"sun":{"sidereal_longitude":287.5953,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":140.0835,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.4882,"elapsed_within_tithi_degrees":8.4882},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.0835,"elapsed_within_degrees":6.7501},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.6788},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.257,"elongation":147.512},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.257,"opposition_distance":32.488}},"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":"06:50","sunsetLocal":"17:46","solarNoonLocal":"12:18","dayLengthHours":10.934517988367169,"dayLengthDisplay":"10 Hours 56 Mins 04 Secs","nightLengthDisplay":"13 Hours 03 Mins 56 Secs","moonriseLocal":"19:42","moonsetLocal":"09:13","rahuKala":{"name":"Rāhu Kāla","start":"09:34","end":"10:56","startHours":9.564456760673155,"endHours":10.931271509219052,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:40","end":"15:02","startHours":13.664901006310842,"endHours":15.031715754856739,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:50","end":"08:12","startHours":6.830827263581362,"endHours":8.197642012127258,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:45","startHours":9.382214794200369,"endHours":9.74669872714594,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:17","end":"07:35","startHours":7.286432179763327,"endHours":7.578019326119785,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:40","startHours":11.933602324819374,"endHours":12.66257019071052,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:22","end":"06:06","startHours":5.372891531799073,"endHours":6.101859397690218,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:55","end":"06:50","startHours":5.919617431217431,"endHours":6.830827263581362,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:51","startHours":14.120505922492807,"endHours":14.849473788383952,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.565345251948532,"endHours":17.96534525194853,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:13","startHours":17.76534525194853,"endHours":18.220950168130496,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.51534525194853,"endHours":19.26534525194853,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:40","startHours":23.933602324819375,"endHours":24.662570190710518,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:50","end":"08:12","startHours":6.830827263581362,"endHours":8.197642012127258,"quality":"inauspicious"},{"name":"Śubha","start":"08:12","end":"09:34","startHours":8.197642012127258,"endHours":9.564456760673155,"quality":"auspicious"},{"name":"Roga","start":"09:34","end":"10:56","startHours":9.564456760673155,"endHours":10.931271509219052,"quality":"inauspicious"},{"name":"Udveg","start":"10:56","end":"12:18","startHours":10.931271509219052,"endHours":12.298086257764947,"quality":"inauspicious"},{"name":"Chala","start":"12:18","end":"13:40","startHours":12.298086257764947,"endHours":13.664901006310842,"quality":"neutral"},{"name":"Labha","start":"13:40","end":"15:02","startHours":13.664901006310842,"endHours":15.031715754856739,"quality":"auspicious"},{"name":"Amṛta","start":"15:02","end":"16:24","startHours":15.031715754856739,"endHours":16.398530503402636,"quality":"auspicious"},{"name":"Kāla","start":"16:24","end":"17:46","startHours":16.398530503402636,"endHours":17.76534525194853,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:46","end":"19:24","startHours":17.76534525194853,"endHours":19.398530503402636,"quality":"auspicious"},{"name":"Amṛta","start":"19:24","end":"21:02","startHours":19.398530503402636,"endHours":21.03171575485674,"quality":"auspicious"},{"name":"Kāla","start":"21:02","end":"22:40","startHours":21.03171575485674,"endHours":22.664901006310842,"quality":"inauspicious"},{"name":"Śubha","start":"22:40","end":"00:18","startHours":22.664901006310842,"endHours":24.298086257764947,"quality":"auspicious"},{"name":"Roga","start":"00:18","end":"01:56","startHours":24.298086257764947,"endHours":25.93127150921905,"quality":"inauspicious"},{"name":"Udveg","start":"01:56","end":"03:34","startHours":25.93127150921905,"endHours":27.564456760673153,"quality":"inauspicious"},{"name":"Chala","start":"03:34","end":"05:12","startHours":27.564456760673153,"endHours":29.197642012127258,"quality":"neutral"},{"name":"Labha","start":"05:12","end":"06:50","startHours":29.197642012127258,"endHours":30.830827263581362,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:50","end":"07:50","startHours":6.830827263581362,"endHours":7.830827263581362,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:50","end":"08:50","startHours":7.830827263581362,"endHours":8.830827263581362,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:50","end":"09:50","startHours":8.830827263581362,"endHours":9.830827263581362,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:50","end":"10:50","startHours":9.830827263581362,"endHours":10.830827263581362,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:50","end":"11:50","startHours":10.830827263581362,"endHours":11.830827263581362,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:50","end":"12:50","startHours":11.830827263581362,"endHours":12.830827263581362,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:50","end":"13:50","startHours":12.830827263581362,"endHours":13.830827263581362,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:50","end":"14:50","startHours":13.830827263581362,"endHours":14.830827263581362,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:50","end":"15:50","startHours":14.830827263581362,"endHours":15.830827263581362,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:50","end":"16:50","startHours":15.830827263581362,"endHours":16.830827263581362,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:50","end":"17:50","startHours":16.830827263581362,"endHours":17.830827263581362,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:50","end":"18:50","startHours":17.830827263581362,"endHours":18.830827263581362,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:50","end":"19:50","startHours":18.830827263581362,"endHours":19.830827263581362,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:50","end":"20:50","startHours":19.830827263581362,"endHours":20.830827263581362,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:50","end":"21:50","startHours":20.830827263581362,"endHours":21.830827263581362,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:50","end":"22:50","startHours":21.830827263581362,"endHours":22.830827263581362,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:50","end":"23:50","startHours":22.830827263581362,"endHours":23.830827263581362,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:50","end":"00:50","startHours":23.830827263581362,"endHours":24.830827263581362,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:50","end":"01:50","startHours":24.830827263581362,"endHours":25.830827263581362,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:50","end":"02:50","startHours":25.830827263581362,"endHours":26.830827263581362,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:50","end":"03:50","startHours":26.830827263581362,"endHours":27.830827263581362,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:50","end":"04:50","startHours":27.830827263581362,"endHours":28.830827263581362,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:50","end":"05:50","startHours":28.830827263581362,"endHours":29.830827263581362,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:50","end":"06:50","startHours":29.830827263581362,"endHours":30.830827263581362,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.003309244802768,"eotMinutes":8.960824534103129,"ayanamsa":-48.2718}},"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 Tṛtīyā · Vikram -3107 undefined · Śaka -3242 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 4, 3165 BCE · Ujjain · Vidhyamitra","description":"December 4, 3165 BCE for Ujjain: Kṛṣṇa Tṛtīyā, sūryodaya 06:50, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3164-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3164-12-04","sa":"https://sa.vidhyamitra.com/city/ujjain/-3164-12-04","hi":"https://hi.vidhyamitra.com/city/ujjain/-3164-12-04","x-default":"https://vidhyamitra.com/city/ujjain/-3164-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T03:14:42.329Z","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":"2026-09-08T03:14:42.329Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T03:14:42.329Z","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"}}}