{"id":"vidhyamitra:city-day:ujjain:-3115-07-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3115-07-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3115-07-21","date_display":"July 21, 3116 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":-3115,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":583505.770833,"kali_year":-13,"ahargana":-4959.7292,"sun":{"sidereal_longitude":149.4185,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":175.3377,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":25.9192,"elapsed_within_tithi_degrees":1.9192},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":175.3377,"elapsed_within_degrees":2.0044},"yoga":{"number":25,"name":"Brahma","sum_longitude":324.7562},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-3115,"month":7,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":583505.770833,"ahargana":-4959.7292,"kali_year":-13,"ayanamsa_lahiri":-47.5925,"grahas":{"sun":{"sidereal_longitude":149.4185,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":175.3377,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":4.4955},"mars":{"sidereal_longitude":232.4818,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":172.3859,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":298.8051,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":139.9847,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":196.6566,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":82.7903,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":262.7903,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3115,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":583505.770833,"kali_year":-13,"ahargana":-4959.7292,"sun":{"sidereal_longitude":149.4185,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":175.3377,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":25.9192,"elapsed_within_tithi_degrees":1.9192},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":175.3377,"elapsed_within_degrees":2.0044},"yoga":{"number":25,"name":"Brahma","sum_longitude":324.7562},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.496,"elongation":25.919},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.496,"opposition_distance":154.081}},"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":"05:47","sunsetLocal":"19:19","solarNoonLocal":"12:33","dayLengthHours":13.523471528157222,"dayLengthDisplay":"13 Hours 31 Mins 24 Secs","nightLengthDisplay":"10 Hours 28 Mins 36 Secs","moonriseLocal":"07:41","moonsetLocal":"20:52","rahuKala":{"name":"Rāhu Kāla","start":"07:29","end":"09:10","startHours":7.476961567529108,"endHours":9.167395508548761,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:51","end":"12:33","startHours":10.857829449568413,"endHours":12.548263390588065,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:14","end":"15:56","startHours":14.23869733160772,"endHours":15.929131272627371,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:24","startHours":8.942004316412806,"endHours":9.392786700684715,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:43","startHours":6.35000560684934,"endHours":6.710631514266866,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"13:00","startHours":12.097481006316158,"endHours":12.999045774859972,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:59","end":"04:53","startHours":3.9833980894218257,"endHours":4.884962857965641,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:47","startHours":4.659571665829687,"endHours":5.786527626509455,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:48","end":"15:42","startHours":14.802175311947602,"endHours":15.703740080491416,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:07","end":"19:31","startHours":19.109999154666678,"endHours":19.509999154666676,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:19","end":"19:52","startHours":19.309999154666677,"endHours":19.87347713500656,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:04","end":"20:49","startHours":19.059999154666677,"endHours":20.809999154666677,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"01:00","startHours":24.09748100631616,"endHours":24.999045774859972,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:47","end":"07:29","startHours":5.786527626509455,"endHours":7.476961567529108,"quality":"auspicious"},{"name":"Kāla","start":"07:29","end":"09:10","startHours":7.476961567529108,"endHours":9.167395508548761,"quality":"inauspicious"},{"name":"Śubha","start":"09:10","end":"10:51","startHours":9.167395508548761,"endHours":10.857829449568413,"quality":"auspicious"},{"name":"Roga","start":"10:51","end":"12:33","startHours":10.857829449568413,"endHours":12.548263390588065,"quality":"inauspicious"},{"name":"Udveg","start":"12:33","end":"14:14","startHours":12.548263390588065,"endHours":14.23869733160772,"quality":"inauspicious"},{"name":"Chala","start":"14:14","end":"15:56","startHours":14.23869733160772,"endHours":15.929131272627371,"quality":"neutral"},{"name":"Labha","start":"15:56","end":"17:37","startHours":15.929131272627371,"endHours":17.619565213647025,"quality":"auspicious"},{"name":"Amṛta","start":"17:37","end":"19:19","startHours":17.619565213647025,"endHours":19.309999154666677,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:19","end":"20:37","startHours":19.309999154666677,"endHours":20.619565213647025,"quality":"neutral"},{"name":"Labha","start":"20:37","end":"21:56","startHours":20.619565213647025,"endHours":21.929131272627373,"quality":"auspicious"},{"name":"Amṛta","start":"21:56","end":"23:14","startHours":21.929131272627373,"endHours":23.238697331607717,"quality":"auspicious"},{"name":"Kāla","start":"23:14","end":"00:33","startHours":23.238697331607717,"endHours":24.548263390588065,"quality":"inauspicious"},{"name":"Śubha","start":"00:33","end":"01:51","startHours":24.548263390588065,"endHours":25.857829449568413,"quality":"auspicious"},{"name":"Roga","start":"01:51","end":"03:10","startHours":25.857829449568413,"endHours":27.16739550854876,"quality":"inauspicious"},{"name":"Udveg","start":"03:10","end":"04:29","startHours":27.16739550854876,"endHours":28.47696156752911,"quality":"inauspicious"},{"name":"Chala","start":"04:29","end":"05:47","startHours":28.47696156752911,"endHours":29.786527626509454,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.786527626509455,"endHours":6.786527626509455,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.786527626509455,"endHours":7.786527626509455,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.786527626509455,"endHours":8.786527626509455,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.786527626509455,"endHours":9.786527626509455,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.786527626509455,"endHours":10.786527626509455,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.786527626509455,"endHours":11.786527626509455,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.786527626509455,"endHours":12.786527626509455,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.786527626509455,"endHours":13.786527626509455,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.786527626509455,"endHours":14.786527626509455,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.786527626509455,"endHours":15.786527626509455,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.786527626509455,"endHours":16.786527626509454,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.786527626509454,"endHours":17.786527626509454,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.786527626509454,"endHours":18.786527626509454,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.786527626509454,"endHours":19.786527626509454,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.786527626509454,"endHours":20.786527626509454,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.786527626509454,"endHours":21.786527626509454,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.786527626509454,"endHours":22.786527626509454,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.786527626509454,"endHours":23.786527626509454,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.786527626509454,"endHours":24.786527626509454,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.786527626509454,"endHours":25.786527626509454,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.786527626509454,"endHours":26.786527626509454,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.786527626509454,"endHours":27.786527626509454,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.786527626509454,"endHours":28.786527626509454,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.786527626509454,"endHours":29.786527626509454,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.910352419938896,"eotMinutes":-6.049803435283957,"ayanamsa":-47.5925}},"calendars":{"vikram_samvat":-3058,"saka_samvat":-3193,"bengali_samvat":-3708,"malayalam_era":-3939,"nanakshahi_year":-4584,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Tṛtīyā · Vikram -3058 undefined · Śaka -3193 undefined"},"festivals":[{"id":"varaha-jayanti","name":"Varāha Jayantī","name_sanskrit":"वराह जयन्ती","tradition":"Vaishnava","associated_deity":"Varāha (3rd daśāvatāra of Krishna)","deity_avatara_index":12,"significance":"Varāha lifted Bhū-Devī from the cosmic ocean.","vrata":false,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":4,"sources":["Bhāgavata 3.13"]},{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi_ingress":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Varāha Jayantī · Kanyā Saṅkrānti (Mahālaya begins) is not live yet; Somavāra (Monday) — 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 July 21, 3116 BCE · Ujjain · Vidhyamitra","description":"July 21, 3116 BCE for Ujjain: Śukla Tṛtīyā, sūryodaya 05:47, sūryāsta 19:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3115-07-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3115-07-21","sa":"https://sa.vidhyamitra.com/city/ujjain/-3115-07-21","hi":"https://hi.vidhyamitra.com/city/ujjain/-3115-07-21","x-default":"https://vidhyamitra.com/city/ujjain/-3115-07-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T20:38:26.765Z","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":"2026-08-10T20:38:26.765Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T20:38:26.765Z","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"}}}