{"id":"vidhyamitra:city-day:ujjain:-0511-04-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-0511-04-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0511-04-18","date_display":"April 18, 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":4,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534522.770833,"kali_year":2591,"ahargana":946057.2708,"sun":{"sidereal_longitude":38.0475,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":229.6451,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":191.5976,"elapsed_within_tithi_degrees":11.5976},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":229.6451,"elapsed_within_degrees":2.9784},"yoga":{"number":21,"name":"Siddha","sum_longitude":267.6926},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":-511,"month":4,"day":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1534522.770833,"ahargana":946057.2708,"kali_year":2591,"ayanamsa_lahiri":-11.2197,"grahas":{"sun":{"sidereal_longitude":38.0475,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":229.6451,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":3.1066},"mars":{"sidereal_longitude":38.4407,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":52.854,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":119.6998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":71.8234,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":312.9474,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":93.333,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":273.333,"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":4,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534522.770833,"kali_year":2591,"ahargana":946057.2708,"sun":{"sidereal_longitude":38.0475,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":229.6451,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":191.5976,"elapsed_within_tithi_degrees":11.5976},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":229.6451,"elapsed_within_degrees":2.9784},"yoga":{"number":21,"name":"Siddha","sum_longitude":267.6926},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.107,"elongation":168.402},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.107,"opposition_distance":11.598}},"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":"06:05","sunsetLocal":"18:48","solarNoonLocal":"12:26","dayLengthHours":12.720636471559441,"dayLengthDisplay":"12 Hours 43 Mins 14 Secs","nightLengthDisplay":"11 Hours 16 Mins 46 Secs","moonriseLocal":"19:35","moonsetLocal":"06:50","rahuKala":{"name":"Rāhu Kāla","start":"10:51","end":"12:26","startHours":10.848922392790346,"endHours":12.439001951735275,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:37","end":"17:13","startHours":15.619161069625136,"endHours":17.209240628570065,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:40","end":"09:16","startHours":7.668763274900485,"endHours":9.258842833845415,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:28","startHours":9.04683222598609,"endHours":9.47085344170474,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:37","end":"06:57","startHours":6.608710235603866,"endHours":6.947927208178784,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:52","startHours":12.014980736016629,"endHours":12.863023167453925,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:14","startHours":4.382598853080963,"endHours":5.230641284518259,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:01","end":"06:05","startHours":5.018630676658935,"endHours":6.078683715955555,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:24","startHours":14.559108030328517,"endHours":15.407150461765813,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:36","end":"19:00","startHours":18.599320187514998,"endHours":18.999320187514996,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:48","end":"19:20","startHours":18.799320187514997,"endHours":19.329346707163307,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:33","end":"20:18","startHours":18.549320187514997,"endHours":20.299320187514997,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:52","startHours":24.014980736016632,"endHours":24.863023167453925,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:05","end":"07:40","startHours":6.078683715955555,"endHours":7.668763274900485,"quality":"neutral"},{"name":"Labha","start":"07:40","end":"09:16","startHours":7.668763274900485,"endHours":9.258842833845415,"quality":"auspicious"},{"name":"Amṛta","start":"09:16","end":"10:51","startHours":9.258842833845415,"endHours":10.848922392790346,"quality":"auspicious"},{"name":"Kāla","start":"10:51","end":"12:26","startHours":10.848922392790346,"endHours":12.439001951735275,"quality":"inauspicious"},{"name":"Śubha","start":"12:26","end":"14:02","startHours":12.439001951735275,"endHours":14.029081510680207,"quality":"auspicious"},{"name":"Roga","start":"14:02","end":"15:37","startHours":14.029081510680207,"endHours":15.619161069625136,"quality":"inauspicious"},{"name":"Udveg","start":"15:37","end":"17:13","startHours":15.619161069625136,"endHours":17.209240628570065,"quality":"inauspicious"},{"name":"Chala","start":"17:13","end":"18:48","startHours":17.209240628570065,"endHours":18.799320187514997,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:48","end":"20:13","startHours":18.799320187514997,"endHours":20.20924062857007,"quality":"inauspicious"},{"name":"Udveg","start":"20:13","end":"21:37","startHours":20.20924062857007,"endHours":21.619161069625136,"quality":"inauspicious"},{"name":"Chala","start":"21:37","end":"23:02","startHours":21.619161069625136,"endHours":23.029081510680207,"quality":"neutral"},{"name":"Labha","start":"23:02","end":"00:26","startHours":23.029081510680207,"endHours":24.43900195173528,"quality":"auspicious"},{"name":"Amṛta","start":"00:26","end":"01:51","startHours":24.43900195173528,"endHours":25.848922392790346,"quality":"auspicious"},{"name":"Kāla","start":"01:51","end":"03:16","startHours":25.848922392790346,"endHours":27.258842833845417,"quality":"inauspicious"},{"name":"Śubha","start":"03:16","end":"04:40","startHours":27.258842833845417,"endHours":28.668763274900485,"quality":"auspicious"},{"name":"Roga","start":"04:40","end":"06:05","startHours":28.668763274900485,"endHours":30.078683715955556,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:05","end":"07:05","startHours":6.078683715955555,"endHours":7.078683715955555,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:05","end":"08:05","startHours":7.078683715955555,"endHours":8.078683715955556,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:05","end":"09:05","startHours":8.078683715955556,"endHours":9.078683715955556,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:05","end":"10:05","startHours":9.078683715955556,"endHours":10.078683715955556,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:05","end":"11:05","startHours":10.078683715955556,"endHours":11.078683715955556,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:05","end":"12:05","startHours":11.078683715955556,"endHours":12.078683715955556,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:05","end":"13:05","startHours":12.078683715955556,"endHours":13.078683715955556,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:05","end":"14:05","startHours":13.078683715955556,"endHours":14.078683715955556,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:05","end":"15:05","startHours":14.078683715955556,"endHours":15.078683715955556,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:05","end":"16:05","startHours":15.078683715955556,"endHours":16.078683715955556,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:05","end":"17:05","startHours":16.078683715955556,"endHours":17.078683715955556,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:05","end":"18:05","startHours":17.078683715955556,"endHours":18.078683715955556,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:05","end":"19:05","startHours":18.078683715955556,"endHours":19.078683715955556,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:05","end":"20:05","startHours":19.078683715955556,"endHours":20.078683715955556,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:05","end":"21:05","startHours":20.078683715955556,"endHours":21.078683715955556,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:05","end":"22:05","startHours":21.078683715955556,"endHours":22.078683715955556,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:05","end":"23:05","startHours":22.078683715955556,"endHours":23.078683715955556,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:05","end":"00:05","startHours":23.078683715955556,"endHours":24.078683715955556,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:05","end":"01:05","startHours":24.078683715955556,"endHours":25.078683715955556,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:05","end":"02:05","startHours":25.078683715955556,"endHours":26.078683715955556,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:05","end":"03:05","startHours":26.078683715955556,"endHours":27.078683715955556,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:05","end":"04:05","startHours":27.078683715955556,"endHours":28.078683715955556,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:05","end":"05:05","startHours":28.078683715955556,"endHours":29.078683715955556,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:05","end":"06:05","startHours":29.078683715955556,"endHours":30.078683715955556,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.340687925958365,"eotMinutes":0.5058828958834352,"ayanamsa":-11.2197}},"calendars":{"vikram_samvat":-454,"saka_samvat":-589,"bengali_samvat":-1104,"malayalam_era":-1335,"nanakshahi_year":-1980,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa 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 Kṛṣṇa Pratipada · Vikram -454 undefined · Śaka -589 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 April 18, 512 BCE · Ujjain · Vidhyamitra","description":"April 18, 512 BCE for Ujjain: Kṛṣṇa Pratipada, sūryodaya 06:05, sūryāsta 18:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-0511-04-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-0511-04-18","sa":"https://sa.vidhyamitra.com/city/ujjain/-0511-04-18","hi":"https://hi.vidhyamitra.com/city/ujjain/-0511-04-18","x-default":"https://vidhyamitra.com/city/ujjain/-0511-04-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T22:39:22.570Z","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":"2026-08-10T22:39:22.570Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T22:39:22.570Z","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"}}}