{"id":"vidhyamitra:city-day:ujjain:-3173-08-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3173-08-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3173-08-16","date_display":"August 16, 3174 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":-3173,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562346.770833,"kali_year":-71,"ahargana":-26118.7292,"sun":{"sidereal_longitude":174.9641,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":15.5874,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":200.6234,"elapsed_within_tithi_degrees":8.6234},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":15.5874,"elapsed_within_degrees":2.2541},"yoga":{"number":15,"name":"Vajra","sum_longitude":190.5515},"karana":{"half_tithi_index":33,"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":-3173,"month":8,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":562346.770833,"ahargana":-26118.7292,"kali_year":-71,"ayanamsa_lahiri":-48.4018,"grahas":{"sun":{"sidereal_longitude":174.9641,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":15.5874,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":-4.2718},"mars":{"sidereal_longitude":9.515,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":164.6755,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":349.2571,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":214.493,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":208.677,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":123.896,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":303.896,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":-3173,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562346.770833,"kali_year":-71,"ahargana":-26118.7292,"sun":{"sidereal_longitude":174.9641,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":15.5874,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":200.6234,"elapsed_within_tithi_degrees":8.6234},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":15.5874,"elapsed_within_degrees":2.2541},"yoga":{"number":15,"name":"Vajra","sum_longitude":190.5515},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.272,"elongation":159.377},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.272,"opposition_distance":20.623}},"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":13.235470286609967,"dayLengthDisplay":"13 Hours 14 Mins 08 Secs","nightLengthDisplay":"10 Hours 45 Mins 52 Secs","moonriseLocal":"20:12","moonsetLocal":"07:34","rahuKala":{"name":"Rāhu Kāla","start":"12:31","end":"14:10","startHours":12.513597593285539,"endHours":14.168031379111785,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:33","end":"09:12","startHours":7.550296235806802,"endHours":9.204730021633047,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:52","end":"12:31","startHours":10.859163807459293,"endHours":12.513597593285539,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:26","startHours":8.984138850189549,"endHours":9.425321193076547,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:27","end":"06:48","startHours":6.447340378589304,"endHours":6.800286252898903,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:57","startHours":12.07241525039854,"endHours":12.954779936172537,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"05:01","startHours":4.13113307843256,"endHours":5.013497764206559,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:54","startHours":4.7929065927630585,"endHours":5.895862449980556,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:43","end":"15:36","startHours":14.719509307720536,"endHours":15.601873993494534,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:56","end":"19:20","startHours":18.931332736590523,"endHours":19.33133273659052,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:08","end":"19:41","startHours":19.131332736590522,"endHours":19.68281066519927,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:53","end":"20:38","startHours":18.881332736590522,"endHours":20.631332736590522,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:57","startHours":24.07241525039854,"endHours":24.95477993617254,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:54","end":"07:33","startHours":5.895862449980556,"endHours":7.550296235806802,"quality":"auspicious"},{"name":"Amṛta","start":"07:33","end":"09:12","startHours":7.550296235806802,"endHours":9.204730021633047,"quality":"auspicious"},{"name":"Kāla","start":"09:12","end":"10:52","startHours":9.204730021633047,"endHours":10.859163807459293,"quality":"inauspicious"},{"name":"Śubha","start":"10:52","end":"12:31","startHours":10.859163807459293,"endHours":12.513597593285539,"quality":"auspicious"},{"name":"Roga","start":"12:31","end":"14:10","startHours":12.513597593285539,"endHours":14.168031379111785,"quality":"inauspicious"},{"name":"Udveg","start":"14:10","end":"15:49","startHours":14.168031379111785,"endHours":15.82246516493803,"quality":"inauspicious"},{"name":"Chala","start":"15:49","end":"17:29","startHours":15.82246516493803,"endHours":17.476898950764276,"quality":"neutral"},{"name":"Labha","start":"17:29","end":"19:08","startHours":17.476898950764276,"endHours":19.131332736590522,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:08","end":"20:29","startHours":19.131332736590522,"endHours":20.476898950764276,"quality":"inauspicious"},{"name":"Chala","start":"20:29","end":"21:49","startHours":20.476898950764276,"endHours":21.82246516493803,"quality":"neutral"},{"name":"Labha","start":"21:49","end":"23:10","startHours":21.82246516493803,"endHours":23.168031379111785,"quality":"auspicious"},{"name":"Amṛta","start":"23:10","end":"00:31","startHours":23.168031379111785,"endHours":24.51359759328554,"quality":"auspicious"},{"name":"Kāla","start":"00:31","end":"01:52","startHours":24.51359759328554,"endHours":25.859163807459293,"quality":"inauspicious"},{"name":"Śubha","start":"01:52","end":"03:12","startHours":25.859163807459293,"endHours":27.204730021633047,"quality":"auspicious"},{"name":"Roga","start":"03:12","end":"04:33","startHours":27.204730021633047,"endHours":28.5502962358068,"quality":"inauspicious"},{"name":"Udveg","start":"04:33","end":"05:54","startHours":28.5502962358068,"endHours":29.895862449980555,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:54","end":"06:54","startHours":5.895862449980556,"endHours":6.895862449980556,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:54","end":"07:54","startHours":6.895862449980556,"endHours":7.895862449980556,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:54","end":"08:54","startHours":7.895862449980556,"endHours":8.895862449980555,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:54","end":"09:54","startHours":8.895862449980555,"endHours":9.895862449980555,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:54","end":"10:54","startHours":9.895862449980555,"endHours":10.895862449980555,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:54","end":"11:54","startHours":10.895862449980555,"endHours":11.895862449980555,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:54","end":"12:54","startHours":11.895862449980555,"endHours":12.895862449980555,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:54","end":"13:54","startHours":12.895862449980555,"endHours":13.895862449980555,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:54","end":"14:54","startHours":13.895862449980555,"endHours":14.895862449980555,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:54","end":"15:54","startHours":14.895862449980555,"endHours":15.895862449980555,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:54","end":"16:54","startHours":15.895862449980555,"endHours":16.895862449980555,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:54","end":"17:54","startHours":16.895862449980555,"endHours":17.895862449980555,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:54","end":"18:54","startHours":17.895862449980555,"endHours":18.895862449980555,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:54","end":"19:54","startHours":18.895862449980555,"endHours":19.895862449980555,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:54","end":"20:54","startHours":19.895862449980555,"endHours":20.895862449980555,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:54","end":"21:54","startHours":20.895862449980555,"endHours":21.895862449980555,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:54","end":"22:54","startHours":21.895862449980555,"endHours":22.895862449980555,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:54","end":"23:54","startHours":22.895862449980555,"endHours":23.895862449980555,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:54","end":"00:54","startHours":23.895862449980555,"endHours":24.895862449980555,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:54","end":"01:54","startHours":24.895862449980555,"endHours":25.895862449980555,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:54","end":"02:54","startHours":25.895862449980555,"endHours":26.895862449980555,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:54","end":"03:54","startHours":26.895862449980555,"endHours":27.895862449980555,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:54","end":"04:54","startHours":27.895862449980555,"endHours":28.895862449980555,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:54","end":"05:54","startHours":28.895862449980555,"endHours":29.895862449980555,"planetary_lord":"Sun"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","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":18.63042442330043,"eotMinutes":-3.969855597132357,"ayanamsa":-48.4018}},"calendars":{"vikram_samvat":-3116,"saka_samvat":-3251,"saka_samvatsara":"Prabhava","bengali_samvat":-3766,"malayalam_era":-3997,"nanakshahi_year":-4642,"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 Dvitīyā · Vikram -3116 undefined · Śaka -3251 Prabhava"},"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 August 16, 3174 BCE · Ujjain · Vidhyamitra","description":"August 16, 3174 BCE for Ujjain: Kṛṣṇa Dvitīyā, sūryodaya 05:54, sūryāsta 19:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3173-08-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3173-08-16","sa":"https://sa.vidhyamitra.com/city/ujjain/-3173-08-16","hi":"https://hi.vidhyamitra.com/city/ujjain/-3173-08-16","x-default":"https://vidhyamitra.com/city/ujjain/-3173-08-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T10:54:44.958Z","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":"2026-08-10T10:54:44.958Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T10:54:44.958Z","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"}}}