{"id":"vidhyamitra:city-day:ujjain:-3137-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3137-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-08-15","date_display":"August 15, 3138 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":-3137,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575494.770833,"kali_year":-35,"ahargana":-12970.7292,"sun":{"sidereal_longitude":173.6609,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":91.9639,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":278.303,"elapsed_within_tithi_degrees":2.303},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":91.9639,"elapsed_within_degrees":11.9639},"yoga":{"number":20,"name":"Śiva","sum_longitude":265.6248},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3137,"month":8,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575494.770833,"ahargana":-12970.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8989,"grahas":{"sun":{"sidereal_longitude":173.6609,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":91.9639,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":-3.6979},"mars":{"sidereal_longitude":93.812,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":184.5173,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":6.4859,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":143.4738,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":273.6841,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":147.2517,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":327.2517,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"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":-3137,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575494.770833,"kali_year":-35,"ahargana":-12970.7292,"sun":{"sidereal_longitude":173.6609,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":91.9639,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":278.303,"elapsed_within_tithi_degrees":2.303},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":91.9639,"elapsed_within_degrees":11.9639},"yoga":{"number":20,"name":"Śiva","sum_longitude":265.6248},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.698,"elongation":81.697},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.698,"opposition_distance":98.303}},"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":"05:54","sunsetLocal":"19:08","solarNoonLocal":"12:31","dayLengthHours":13.248412840747797,"dayLengthDisplay":"13 Hours 14 Mins 54 Secs","nightLengthDisplay":"10 Hours 45 Mins 06 Secs","moonriseLocal":"00:33","moonsetLocal":"13:35","rahuKala":{"name":"Rāhu Kāla","start":"10:52","end":"12:31","startHours":10.860993523683668,"endHours":12.517045128777141,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:50","end":"17:29","startHours":15.829148338964092,"endHours":17.485199944057566,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:33","end":"09:12","startHours":7.5488903134967185,"endHours":9.204941918590194,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:26","startHours":8.984135037911063,"endHours":9.425748799269323,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:27","end":"06:48","startHours":6.444855910101069,"endHours":6.798146919187676,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:58","startHours":12.075431367418881,"endHours":12.958658890135402,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"05:01","startHours":4.126383662970204,"endHours":5.009611185686724,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:54","startHours":4.788804305007594,"endHours":5.892838708403244,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:44","end":"15:37","startHours":14.72511393556844,"endHours":15.608341458284961,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:56","end":"19:20","startHours":18.94125154915104,"endHours":19.34125154915104,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:08","end":"19:42","startHours":19.14125154915104,"endHours":19.693268750848866,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:53","end":"20:38","startHours":18.89125154915104,"endHours":20.64125154915104,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:58","startHours":24.075431367418883,"endHours":24.9586588901354,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:54","end":"07:33","startHours":5.892838708403244,"endHours":7.5488903134967185,"quality":"neutral"},{"name":"Labha","start":"07:33","end":"09:12","startHours":7.5488903134967185,"endHours":9.204941918590194,"quality":"auspicious"},{"name":"Amṛta","start":"09:12","end":"10:52","startHours":9.204941918590194,"endHours":10.860993523683668,"quality":"auspicious"},{"name":"Kāla","start":"10:52","end":"12:31","startHours":10.860993523683668,"endHours":12.517045128777141,"quality":"inauspicious"},{"name":"Śubha","start":"12:31","end":"14:10","startHours":12.517045128777141,"endHours":14.173096733870615,"quality":"auspicious"},{"name":"Roga","start":"14:10","end":"15:50","startHours":14.173096733870615,"endHours":15.829148338964092,"quality":"inauspicious"},{"name":"Udveg","start":"15:50","end":"17:29","startHours":15.829148338964092,"endHours":17.485199944057566,"quality":"inauspicious"},{"name":"Chala","start":"17:29","end":"19:08","startHours":17.485199944057566,"endHours":19.14125154915104,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:08","end":"20:29","startHours":19.14125154915104,"endHours":20.485199944057566,"quality":"inauspicious"},{"name":"Udveg","start":"20:29","end":"21:50","startHours":20.485199944057566,"endHours":21.82914833896409,"quality":"inauspicious"},{"name":"Chala","start":"21:50","end":"23:10","startHours":21.82914833896409,"endHours":23.173096733870615,"quality":"neutral"},{"name":"Labha","start":"23:10","end":"00:31","startHours":23.173096733870615,"endHours":24.51704512877714,"quality":"auspicious"},{"name":"Amṛta","start":"00:31","end":"01:52","startHours":24.51704512877714,"endHours":25.860993523683668,"quality":"auspicious"},{"name":"Kāla","start":"01:52","end":"03:12","startHours":25.860993523683668,"endHours":27.204941918590194,"quality":"inauspicious"},{"name":"Śubha","start":"03:12","end":"04:33","startHours":27.204941918590194,"endHours":28.548890313496717,"quality":"auspicious"},{"name":"Roga","start":"04:33","end":"05:54","startHours":28.548890313496717,"endHours":29.892838708403243,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:54","end":"06:54","startHours":5.892838708403244,"endHours":6.892838708403244,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:54","end":"07:54","startHours":6.892838708403244,"endHours":7.892838708403244,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:54","end":"08:54","startHours":7.892838708403244,"endHours":8.892838708403243,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:54","end":"09:54","startHours":8.892838708403243,"endHours":9.892838708403243,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:54","end":"10:54","startHours":9.892838708403243,"endHours":10.892838708403243,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:54","end":"11:54","startHours":10.892838708403243,"endHours":11.892838708403243,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:54","end":"12:54","startHours":11.892838708403243,"endHours":12.892838708403243,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:54","end":"13:54","startHours":12.892838708403243,"endHours":13.892838708403243,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:54","end":"14:54","startHours":13.892838708403243,"endHours":14.892838708403243,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:54","end":"15:54","startHours":14.892838708403243,"endHours":15.892838708403243,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:54","end":"16:54","startHours":15.892838708403243,"endHours":16.892838708403243,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:54","end":"17:54","startHours":16.892838708403243,"endHours":17.892838708403243,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:54","end":"18:54","startHours":17.892838708403243,"endHours":18.892838708403243,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:54","end":"19:54","startHours":18.892838708403243,"endHours":19.892838708403243,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:54","end":"20:54","startHours":19.892838708403243,"endHours":20.892838708403243,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:54","end":"21:54","startHours":20.892838708403243,"endHours":21.892838708403243,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:54","end":"22:54","startHours":21.892838708403243,"endHours":22.892838708403243,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:54","end":"23:54","startHours":22.892838708403243,"endHours":23.892838708403243,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:54","end":"00:54","startHours":23.892838708403243,"endHours":24.892838708403243,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:54","end":"01:54","startHours":24.892838708403243,"endHours":25.892838708403243,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:54","end":"02:54","startHours":25.892838708403243,"endHours":26.892838708403243,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:54","end":"03:54","startHours":26.892838708403243,"endHours":27.892838708403243,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:54","end":"04:54","startHours":27.892838708403243,"endHours":28.892838708403243,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:54","end":"05:54","startHours":28.892838708403243,"endHours":29.892838708403243,"planetary_lord":"Mars"}],"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","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.82874850587978,"eotMinutes":-4.176707726628523,"ayanamsa":-47.8989}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Navamī · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 August 15, 3138 BCE · Ujjain · Vidhyamitra","description":"August 15, 3138 BCE for Ujjain: Kṛṣṇa Navamī, sūryodaya 05:54, sūryāsta 19:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3137-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3137-08-15","sa":"https://sa.vidhyamitra.com/city/ujjain/-3137-08-15","hi":"https://hi.vidhyamitra.com/city/ujjain/-3137-08-15","x-default":"https://vidhyamitra.com/city/ujjain/-3137-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-10T08:57:53.950Z","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":"2026-09-10T08:57:53.950Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-10T08:57:53.950Z","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"}}}