{"id":"vidhyamitra:city-day:ujjain:-3111-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3111-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-12-20","date_display":"December 20, 3112 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":-3111,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585118.770833,"kali_year":-9,"ahargana":-3346.7292,"sun":{"sidereal_longitude":303.1644,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":178.2011,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.0367,"elapsed_within_tithi_degrees":7.0367},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.2011,"elapsed_within_degrees":4.8678},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.3655},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3111,"month":12,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585118.770833,"ahargana":-3346.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5308,"grahas":{"sun":{"sidereal_longitude":303.1644,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":178.2011,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-0.0687},"mars":{"sidereal_longitude":18.9222,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":308.9431,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":79.5414,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":340.8305,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":251.163,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":357.3258,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":177.3258,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":-3111,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585118.770833,"kali_year":-9,"ahargana":-3346.7292,"sun":{"sidereal_longitude":303.1644,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":178.2011,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.0367,"elapsed_within_tithi_degrees":7.0367},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.2011,"elapsed_within_degrees":4.8678},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.3655},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.069,"elongation":124.963},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.069,"opposition_distance":55.037}},"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":"07:02","sunsetLocal":"17:48","solarNoonLocal":"12:25","dayLengthHours":10.75992218163573,"dayLengthDisplay":"10 Hours 45 Mins 36 Secs","nightLengthDisplay":"13 Hours 14 Mins 24 Secs","moonriseLocal":"21:31","moonsetLocal":"10:39","rahuKala":{"name":"Rāhu Kāla","start":"13:46","end":"15:06","startHours":13.761558313996652,"endHours":15.10654858670112,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:02","end":"08:23","startHours":7.036606950474321,"endHours":8.381597223178787,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:44","end":"11:04","startHours":9.726587495883255,"endHours":11.07157776858772,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:54","startHours":9.547255459522658,"endHours":9.90591953224385,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:46","startHours":7.48493704137581,"endHours":7.771868299552763,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:47","startHours":12.057903968570995,"endHours":12.775232114013379,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:36","end":"06:19","startHours":5.601950659589558,"endHours":6.3192788050319395,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:08","end":"07:02","startHours":6.139946768671344,"endHours":7.036606950474321,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:56","startHours":14.209888404898141,"endHours":14.927216550340523,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:36","end":"18:00","startHours":17.596529132110053,"endHours":17.99652913211005,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:48","end":"18:15","startHours":17.796529132110052,"endHours":18.24485922301154,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:33","end":"19:18","startHours":17.546529132110052,"endHours":19.296529132110052,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:47","startHours":24.057903968570997,"endHours":24.775232114013377,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:02","end":"08:23","startHours":7.036606950474321,"endHours":8.381597223178787,"quality":"auspicious"},{"name":"Roga","start":"08:23","end":"09:44","startHours":8.381597223178787,"endHours":9.726587495883255,"quality":"inauspicious"},{"name":"Udveg","start":"09:44","end":"11:04","startHours":9.726587495883255,"endHours":11.07157776858772,"quality":"inauspicious"},{"name":"Chala","start":"11:04","end":"12:25","startHours":11.07157776858772,"endHours":12.416568041292187,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"13:46","startHours":12.416568041292187,"endHours":13.761558313996652,"quality":"auspicious"},{"name":"Amṛta","start":"13:46","end":"15:06","startHours":13.761558313996652,"endHours":15.10654858670112,"quality":"auspicious"},{"name":"Kāla","start":"15:06","end":"16:27","startHours":15.10654858670112,"endHours":16.451538859405584,"quality":"inauspicious"},{"name":"Śubha","start":"16:27","end":"17:48","startHours":16.451538859405584,"endHours":17.796529132110052,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:48","end":"19:27","startHours":17.796529132110052,"endHours":19.451538859405588,"quality":"auspicious"},{"name":"Kāla","start":"19:27","end":"21:06","startHours":19.451538859405588,"endHours":21.10654858670112,"quality":"inauspicious"},{"name":"Śubha","start":"21:06","end":"22:46","startHours":21.10654858670112,"endHours":22.76155831399665,"quality":"auspicious"},{"name":"Roga","start":"22:46","end":"00:25","startHours":22.76155831399665,"endHours":24.416568041292187,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"02:04","startHours":24.416568041292187,"endHours":26.071577768587723,"quality":"inauspicious"},{"name":"Chala","start":"02:04","end":"03:44","startHours":26.071577768587723,"endHours":27.726587495883255,"quality":"neutral"},{"name":"Labha","start":"03:44","end":"05:23","startHours":27.726587495883255,"endHours":29.381597223178787,"quality":"auspicious"},{"name":"Amṛta","start":"05:23","end":"07:02","startHours":29.381597223178787,"endHours":31.036606950474322,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.036606950474321,"endHours":8.036606950474322,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.036606950474322,"endHours":9.036606950474322,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.036606950474322,"endHours":10.036606950474322,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.036606950474322,"endHours":11.036606950474322,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.036606950474322,"endHours":12.036606950474322,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.036606950474322,"endHours":13.036606950474322,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.036606950474322,"endHours":14.036606950474322,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.036606950474322,"endHours":15.036606950474322,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.036606950474322,"endHours":16.036606950474322,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.036606950474322,"endHours":17.036606950474322,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.036606950474322,"endHours":18.036606950474322,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.036606950474322,"endHours":19.036606950474322,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.036606950474322,"endHours":20.036606950474322,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.036606950474322,"endHours":21.036606950474322,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.036606950474322,"endHours":22.036606950474322,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.036606950474322,"endHours":23.036606950474322,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.036606950474322,"endHours":24.036606950474322,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.036606950474322,"endHours":25.036606950474322,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.036606950474322,"endHours":26.036606950474322,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.036606950474322,"endHours":27.036606950474322,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.036606950474322,"endHours":28.036606950474322,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.036606950474322,"endHours":29.036606950474322,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.036606950474322,"endHours":30.036606950474322,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.036606950474322,"endHours":31.036606950474322,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.662049439451728,"eotMinutes":1.851917522468745,"ayanamsa":-47.5308}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Pañcamī · Vikram -3054 undefined · Śaka -3189 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 20, 3112 BCE · Ujjain · Vidhyamitra","description":"December 20, 3112 BCE for Ujjain: Kṛṣṇa Pañcamī, sūryodaya 07:02, sūryāsta 17:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3111-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3111-12-20","sa":"https://sa.vidhyamitra.com/city/ujjain/-3111-12-20","hi":"https://hi.vidhyamitra.com/city/ujjain/-3111-12-20","x-default":"https://vidhyamitra.com/city/ujjain/-3111-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T07:22:36.885Z","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":"2026-09-08T07:22:36.885Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T07:22:36.885Z","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"}}}