{"id":"vidhyamitra:city-day:ujjain:-0511-05-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-0511-05-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0511-05-03","date_display":"May 3, 512 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":-511,"month":5,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534537.770833,"kali_year":2591,"ahargana":946072.2708,"sun":{"sidereal_longitude":52.3308,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":55.7208,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":3.3901,"elapsed_within_tithi_degrees":3.3901},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.7208,"elapsed_within_degrees":2.3875},"yoga":{"number":9,"name":"Śūla","sum_longitude":108.0516},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-511,"month":5,"day":3,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1534537.770833,"ahargana":946072.2708,"kali_year":2591,"ayanamsa_lahiri":-11.2191,"grahas":{"sun":{"sidereal_longitude":52.3308,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":55.7208,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false,"latitude":-2.6949},"mars":{"sidereal_longitude":49.8938,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":65.1951,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":121.639,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":90.0841,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":313.4035,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":92.5383,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":272.5383,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"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":-511,"month":5,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534537.770833,"kali_year":2591,"ahargana":946072.2708,"sun":{"sidereal_longitude":52.3308,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":55.7208,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":3.3901,"elapsed_within_tithi_degrees":3.3901},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.7208,"elapsed_within_degrees":2.3875},"yoga":{"number":9,"name":"Śūla","sum_longitude":108.0516},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.695,"elongation":3.39},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.695,"opposition_distance":176.61}},"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":"05:53","sunsetLocal":"18:54","solarNoonLocal":"12:24","dayLengthHours":13.014305278005732,"dayLengthDisplay":"13 Hours 00 Mins 51 Secs","nightLengthDisplay":"10 Hours 59 Mins 09 Secs","moonriseLocal":"06:06","moonsetLocal":"19:08","rahuKala":{"name":"Rāhu Kāla","start":"09:08","end":"10:46","startHours":9.141280539189882,"endHours":10.768068698940597,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:01","end":"15:39","startHours":14.021645018442031,"endHours":15.648433178192747,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:53","end":"07:31","startHours":5.887704219688448,"endHours":7.514492379439165,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.924375451223119,"endHours":9.358185627156644,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:26","end":"06:47","startHours":6.429966939605354,"endHours":6.777015080352173,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.96104668275779,"endHours":12.82866703462484,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:09","end":"05:01","startHours":4.15246351595435,"endHours":5.020083867821399,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:53","startHours":4.803178779854637,"endHours":5.887704219688448,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:26","startHours":14.563907738358935,"endHours":15.431528090225983,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.70200949769418,"endHours":19.10200949769418,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:27","startHours":18.90200949769418,"endHours":19.444272217611086,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.65200949769418,"endHours":20.40200949769418,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.96104668275779,"endHours":24.828667034624836,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:53","end":"07:31","startHours":5.887704219688448,"endHours":7.514492379439165,"quality":"inauspicious"},{"name":"Śubha","start":"07:31","end":"09:08","startHours":7.514492379439165,"endHours":9.141280539189882,"quality":"auspicious"},{"name":"Roga","start":"09:08","end":"10:46","startHours":9.141280539189882,"endHours":10.768068698940597,"quality":"inauspicious"},{"name":"Udveg","start":"10:46","end":"12:24","startHours":10.768068698940597,"endHours":12.394856858691314,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"14:01","startHours":12.394856858691314,"endHours":14.021645018442031,"quality":"neutral"},{"name":"Labha","start":"14:01","end":"15:39","startHours":14.021645018442031,"endHours":15.648433178192747,"quality":"auspicious"},{"name":"Amṛta","start":"15:39","end":"17:17","startHours":15.648433178192747,"endHours":17.275221337943464,"quality":"auspicious"},{"name":"Kāla","start":"17:17","end":"18:54","startHours":17.275221337943464,"endHours":18.90200949769418,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:54","end":"20:17","startHours":18.90200949769418,"endHours":20.275221337943464,"quality":"auspicious"},{"name":"Amṛta","start":"20:17","end":"21:39","startHours":20.275221337943464,"endHours":21.648433178192747,"quality":"auspicious"},{"name":"Kāla","start":"21:39","end":"23:01","startHours":21.648433178192747,"endHours":23.02164501844203,"quality":"inauspicious"},{"name":"Śubha","start":"23:01","end":"00:24","startHours":23.02164501844203,"endHours":24.394856858691313,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"01:46","startHours":24.394856858691313,"endHours":25.768068698940596,"quality":"inauspicious"},{"name":"Udveg","start":"01:46","end":"03:08","startHours":25.768068698940596,"endHours":27.141280539189882,"quality":"inauspicious"},{"name":"Chala","start":"03:08","end":"04:31","startHours":27.141280539189882,"endHours":28.514492379439165,"quality":"neutral"},{"name":"Labha","start":"04:31","end":"05:53","startHours":28.514492379439165,"endHours":29.887704219688448,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.887704219688448,"endHours":6.887704219688448,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.887704219688448,"endHours":7.887704219688448,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.887704219688448,"endHours":8.887704219688448,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.887704219688448,"endHours":9.887704219688448,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.887704219688448,"endHours":10.887704219688448,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.887704219688448,"endHours":11.887704219688448,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.887704219688448,"endHours":12.887704219688448,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.887704219688448,"endHours":13.887704219688448,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.887704219688448,"endHours":14.887704219688448,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.887704219688448,"endHours":15.887704219688448,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.887704219688448,"endHours":16.887704219688448,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.887704219688448,"endHours":17.887704219688448,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.887704219688448,"endHours":18.887704219688448,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.887704219688448,"endHours":19.887704219688448,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.887704219688448,"endHours":20.887704219688448,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.887704219688448,"endHours":21.887704219688448,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.887704219688448,"endHours":22.887704219688448,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.887704219688448,"endHours":23.887704219688448,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.887704219688448,"endHours":24.887704219688448,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.887704219688448,"endHours":25.887704219688448,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.887704219688448,"endHours":26.887704219688448,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.887704219688448,"endHours":27.887704219688448,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.887704219688448,"endHours":28.887704219688448,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.887704219688448,"endHours":29.887704219688448,"planetary_lord":"Mercury"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.160312596242417,"eotMinutes":3.154588478521171,"ayanamsa":-11.2191}},"calendars":{"vikram_samvat":-454,"saka_samvat":-589,"bengali_samvat":-1104,"malayalam_era":-1335,"nanakshahi_year":-1980,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Pratipada · Vikram -454 undefined · Śaka -589 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 May 3, 512 BCE · Ujjain · Vidhyamitra","description":"May 3, 512 BCE for Ujjain: Śukla Pratipada, sūryodaya 05:53, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-0511-05-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-0511-05-03","sa":"https://sa.vidhyamitra.com/city/ujjain/-0511-05-03","hi":"https://hi.vidhyamitra.com/city/ujjain/-0511-05-03","x-default":"https://vidhyamitra.com/city/ujjain/-0511-05-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:10:38.514Z","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":"2026-08-10T13:10:38.514Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:10:38.514Z","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"}}}