{"id":"vidhyamitra:city-day:ujjain:-3163-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3163-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3163-01-05","date_display":"January 5, 3164 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":-3163,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565776.770833,"kali_year":-62,"ahargana":-22688.7292,"sun":{"sidereal_longitude":320.0408,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":201.5726,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":241.5318,"elapsed_within_tithi_degrees":1.5318},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":201.5726,"elapsed_within_degrees":1.5726},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.6133},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3163,"month":1,"day":5,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565776.770833,"ahargana":-22688.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2706,"grahas":{"sun":{"sidereal_longitude":320.0408,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":201.5726,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":-4.4233},"mars":{"sidereal_longitude":342.0159,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":331.8166,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":277.5341,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":340.3437,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":312.7086,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":302.1581,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.1581,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-3163,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565776.770833,"kali_year":-62,"ahargana":-22688.7292,"sun":{"sidereal_longitude":320.0408,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":201.5726,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":241.5318,"elapsed_within_tithi_degrees":1.5318},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":201.5726,"elapsed_within_degrees":1.5726},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.6133},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.423,"elongation":118.468},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.423,"opposition_distance":61.532}},"eclipse_window_40days":[{"offset_days":-5,"type":"lunar","occurs":true,"moon_latitude":-0.952,"opposition_distance":0.355}]},"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":"07:11","sunsetLocal":"17:54","solarNoonLocal":"12:32","dayLengthHours":10.708553808809826,"dayLengthDisplay":"10 Hours 42 Mins 31 Secs","nightLengthDisplay":"13 Hours 17 Mins 29 Secs","moonriseLocal":"22:18","moonsetLocal":"10:59","rahuKala":{"name":"Rāhu Kāla","start":"12:32","end":"13:53","startHours":12.538312843736051,"endHours":13.87688206983728,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:31","end":"09:52","startHours":8.522605165432365,"endHours":9.861174391533593,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:12","end":"12:32","startHours":11.199743617634823,"endHours":12.538312843736051,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:41","end":"10:02","startHours":9.682698494720096,"endHours":10.03965028834709,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.630225681364879,"endHours":7.915787116266475,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:54","startHours":12.181361050109057,"endHours":12.895264637363045,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:28","startHours":5.7562287648231605,"endHours":6.470132352077148,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:11","startHours":6.291656455263651,"endHours":7.184035939331137,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:02","startHours":14.32307181187102,"endHours":15.036975399125009,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:42","end":"18:06","startHours":17.692589748140964,"endHours":18.092589748140963,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:54","end":"18:20","startHours":17.892589748140963,"endHours":18.338779490174705,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:39","end":"19:24","startHours":17.642589748140963,"endHours":19.392589748140963,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:54","startHours":24.181361050109057,"endHours":24.895264637363045,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:31","startHours":7.184035939331137,"endHours":8.522605165432365,"quality":"auspicious"},{"name":"Amṛta","start":"08:31","end":"09:52","startHours":8.522605165432365,"endHours":9.861174391533593,"quality":"auspicious"},{"name":"Kāla","start":"09:52","end":"11:12","startHours":9.861174391533593,"endHours":11.199743617634823,"quality":"inauspicious"},{"name":"Śubha","start":"11:12","end":"12:32","startHours":11.199743617634823,"endHours":12.538312843736051,"quality":"auspicious"},{"name":"Roga","start":"12:32","end":"13:53","startHours":12.538312843736051,"endHours":13.87688206983728,"quality":"inauspicious"},{"name":"Udveg","start":"13:53","end":"15:13","startHours":13.87688206983728,"endHours":15.215451295938507,"quality":"inauspicious"},{"name":"Chala","start":"15:13","end":"16:33","startHours":15.215451295938507,"endHours":16.554020522039735,"quality":"neutral"},{"name":"Labha","start":"16:33","end":"17:54","startHours":16.554020522039735,"endHours":17.892589748140963,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:54","end":"19:33","startHours":17.892589748140963,"endHours":19.554020522039735,"quality":"inauspicious"},{"name":"Chala","start":"19:33","end":"21:13","startHours":19.554020522039735,"endHours":21.215451295938507,"quality":"neutral"},{"name":"Labha","start":"21:13","end":"22:53","startHours":21.215451295938507,"endHours":22.87688206983728,"quality":"auspicious"},{"name":"Amṛta","start":"22:53","end":"00:32","startHours":22.87688206983728,"endHours":24.53831284373605,"quality":"auspicious"},{"name":"Kāla","start":"00:32","end":"02:12","startHours":24.53831284373605,"endHours":26.199743617634823,"quality":"inauspicious"},{"name":"Śubha","start":"02:12","end":"03:52","startHours":26.199743617634823,"endHours":27.861174391533595,"quality":"auspicious"},{"name":"Roga","start":"03:52","end":"05:31","startHours":27.861174391533595,"endHours":29.522605165432367,"quality":"inauspicious"},{"name":"Udveg","start":"05:31","end":"07:11","startHours":29.522605165432367,"endHours":31.18403593933114,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.184035939331137,"endHours":8.184035939331137,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.184035939331137,"endHours":9.184035939331137,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.184035939331137,"endHours":10.184035939331137,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.184035939331137,"endHours":11.184035939331137,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.184035939331137,"endHours":12.184035939331137,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.184035939331137,"endHours":13.184035939331137,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.184035939331137,"endHours":14.184035939331137,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.184035939331137,"endHours":15.184035939331137,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.184035939331137,"endHours":16.18403593933114,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18403593933114,"endHours":17.18403593933114,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18403593933114,"endHours":18.18403593933114,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18403593933114,"endHours":19.18403593933114,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18403593933114,"endHours":20.18403593933114,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18403593933114,"endHours":21.18403593933114,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18403593933114,"endHours":22.18403593933114,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18403593933114,"endHours":23.18403593933114,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18403593933114,"endHours":24.18403593933114,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18403593933114,"endHours":25.18403593933114,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18403593933114,"endHours":26.18403593933114,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18403593933114,"endHours":27.18403593933114,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18403593933114,"endHours":28.18403593933114,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18403593933114,"endHours":29.18403593933114,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18403593933114,"endHours":30.18403593933114,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18403593933114,"endHours":31.18403593933114,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.424647162993406,"eotMinutes":-5.452770624163118,"ayanamsa":-48.2706}},"calendars":{"vikram_samvat":-3106,"saka_samvat":-3241,"bengali_samvat":-3756,"malayalam_era":-3987,"nanakshahi_year":-4632,"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 Ṣaṣṭhī · Vikram -3106 undefined · Śaka -3241 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 January 5, 3164 BCE · Ujjain · Vidhyamitra","description":"January 5, 3164 BCE for Ujjain: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:11, sūryāsta 17:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3163-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3163-01-05","sa":"https://sa.vidhyamitra.com/city/ujjain/-3163-01-05","hi":"https://hi.vidhyamitra.com/city/ujjain/-3163-01-05","x-default":"https://vidhyamitra.com/city/ujjain/-3163-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T13:42:18.889Z","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":"2026-09-08T13:42:18.889Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T13:42:18.889Z","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"}}}