{"id":"vidhyamitra:city-day:ujjain:-3156-10-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3156-10-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3156-10-09","date_display":"October 9, 3157 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":-3156,"month":10,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568610.770833,"kali_year":-54,"ahargana":-19854.7292,"sun":{"sidereal_longitude":230.0522,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":103.7876,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.7354,"elapsed_within_tithi_degrees":5.7354},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":103.7876,"elapsed_within_degrees":10.4543},"yoga":{"number":26,"name":"Indra","sum_longitude":333.8398},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":-3156,"month":10,"day":9,"hour":6,"minute":30,"calendar":"julian"},"julian_day":568610.770833,"ahargana":-19854.7292,"kali_year":-54,"ayanamsa_lahiri":-48.1622,"grahas":{"sun":{"sidereal_longitude":230.0522,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":103.7876,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":-3.3537},"mars":{"sidereal_longitude":40.7656,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":209.7685,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":160.764,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":230.1029,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":56.0402,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":151.9991,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":331.9991,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"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":-3156,"month":10,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568610.770833,"kali_year":-54,"ahargana":-19854.7292,"sun":{"sidereal_longitude":230.0522,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":103.7876,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.7354,"elapsed_within_tithi_degrees":5.7354},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":103.7876,"elapsed_within_degrees":10.4543},"yoga":{"number":26,"name":"Indra","sum_longitude":333.8398},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.354,"elongation":126.265},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.354,"opposition_distance":53.735}},"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":"06:11","sunsetLocal":"18:16","solarNoonLocal":"12:13","dayLengthHours":12.077919186745266,"dayLengthDisplay":"12 Hours 04 Mins 41 Secs","nightLengthDisplay":"11 Hours 55 Mins 19 Secs","moonriseLocal":"21:11","moonsetLocal":"10:25","rahuKala":{"name":"Rāhu Kāla","start":"15:15","end":"16:45","startHours":15.242063324720885,"endHours":16.751803223064044,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:12","end":"10:43","startHours":9.20310373134825,"endHours":10.71284362969141,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:44","startHours":12.222583528034567,"endHours":13.732323426377725,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:24","startHours":9.00180507823583,"endHours":9.404402384460672,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:01","startHours":6.686870567442988,"endHours":7.008948412422861,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:38","startHours":11.819986221809724,"endHours":12.62518083425941,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:34","end":"05:23","startHours":4.573234709762565,"endHours":5.37842932221225,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:11","end":"06:11","startHours":5.177130669099829,"endHours":6.183623934661934,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:02","startHours":14.235570059158778,"endHours":15.040764671608462,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.0615431214072,"endHours":18.4615431214072,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:46","startHours":18.2615431214072,"endHours":18.764789754188254,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.0115431214072,"endHours":19.7615431214072,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:38","startHours":23.819986221809728,"endHours":24.62518083425941,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:11","end":"07:42","startHours":6.183623934661934,"endHours":7.693363833005092,"quality":"inauspicious"},{"name":"Udveg","start":"07:42","end":"09:12","startHours":7.693363833005092,"endHours":9.20310373134825,"quality":"inauspicious"},{"name":"Chala","start":"09:12","end":"10:43","startHours":9.20310373134825,"endHours":10.71284362969141,"quality":"neutral"},{"name":"Labha","start":"10:43","end":"12:13","startHours":10.71284362969141,"endHours":12.222583528034567,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:44","startHours":12.222583528034567,"endHours":13.732323426377725,"quality":"auspicious"},{"name":"Kāla","start":"13:44","end":"15:15","startHours":13.732323426377725,"endHours":15.242063324720885,"quality":"inauspicious"},{"name":"Śubha","start":"15:15","end":"16:45","startHours":15.242063324720885,"endHours":16.751803223064044,"quality":"auspicious"},{"name":"Roga","start":"16:45","end":"18:16","startHours":16.751803223064044,"endHours":18.2615431214072,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:16","end":"19:45","startHours":18.2615431214072,"endHours":19.75180322306404,"quality":"inauspicious"},{"name":"Śubha","start":"19:45","end":"21:15","startHours":19.75180322306404,"endHours":21.242063324720885,"quality":"auspicious"},{"name":"Roga","start":"21:15","end":"22:44","startHours":21.242063324720885,"endHours":22.732323426377725,"quality":"inauspicious"},{"name":"Udveg","start":"22:44","end":"00:13","startHours":22.732323426377725,"endHours":24.22258352803457,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:43","startHours":24.22258352803457,"endHours":25.71284362969141,"quality":"neutral"},{"name":"Labha","start":"01:43","end":"03:12","startHours":25.71284362969141,"endHours":27.20310373134825,"quality":"auspicious"},{"name":"Amṛta","start":"03:12","end":"04:42","startHours":27.20310373134825,"endHours":28.693363833005094,"quality":"auspicious"},{"name":"Kāla","start":"04:42","end":"06:11","startHours":28.693363833005094,"endHours":30.183623934661934,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:11","end":"07:11","startHours":6.183623934661934,"endHours":7.183623934661934,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:11","end":"08:11","startHours":7.183623934661934,"endHours":8.183623934661934,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:11","end":"09:11","startHours":8.183623934661934,"endHours":9.183623934661934,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:11","end":"10:11","startHours":9.183623934661934,"endHours":10.183623934661934,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:11","end":"11:11","startHours":10.183623934661934,"endHours":11.183623934661934,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:11","end":"12:11","startHours":11.183623934661934,"endHours":12.183623934661934,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:11","end":"13:11","startHours":12.183623934661934,"endHours":13.183623934661934,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:11","end":"14:11","startHours":13.183623934661934,"endHours":14.183623934661934,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:11","end":"15:11","startHours":14.183623934661934,"endHours":15.183623934661934,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:11","end":"16:11","startHours":15.183623934661934,"endHours":16.183623934661934,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:11","end":"17:11","startHours":16.183623934661934,"endHours":17.183623934661934,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:11","end":"18:11","startHours":17.183623934661934,"endHours":18.183623934661934,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:11","end":"19:11","startHours":18.183623934661934,"endHours":19.183623934661934,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:11","end":"20:11","startHours":19.183623934661934,"endHours":20.183623934661934,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:11","end":"21:11","startHours":20.183623934661934,"endHours":21.183623934661934,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:11","end":"22:11","startHours":21.183623934661934,"endHours":22.183623934661934,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:11","end":"23:11","startHours":22.183623934661934,"endHours":23.183623934661934,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:11","end":"00:11","startHours":23.183623934661934,"endHours":24.183623934661934,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:11","end":"01:11","startHours":24.183623934661934,"endHours":25.183623934661934,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:11","end":"02:11","startHours":25.183623934661934,"endHours":26.183623934661934,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:11","end":"03:11","startHours":26.183623934661934,"endHours":27.183623934661934,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:11","end":"04:11","startHours":27.183623934661934,"endHours":28.183623934661934,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:11","end":"05:11","startHours":28.183623934661934,"endHours":29.183623934661934,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:11","end":"06:11","startHours":29.183623934661934,"endHours":30.183623934661934,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-0.7515995881934437,"eotMinutes":13.49098831792595,"ayanamsa":-48.1622}},"calendars":{"vikram_samvat":-3099,"saka_samvat":-3234,"bengali_samvat":-3749,"malayalam_era":-3980,"nanakshahi_year":-4625,"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 -3099 undefined · Śaka -3234 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 October 9, 3157 BCE · Ujjain · Vidhyamitra","description":"October 9, 3157 BCE for Ujjain: Kṛṣṇa Pañcamī, sūryodaya 06:11, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3156-10-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3156-10-09","sa":"https://sa.vidhyamitra.com/city/ujjain/-3156-10-09","hi":"https://hi.vidhyamitra.com/city/ujjain/-3156-10-09","x-default":"https://vidhyamitra.com/city/ujjain/-3156-10-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T03:53:39.685Z","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":"2026-08-12T03:53:39.685Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T03:53:39.685Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}