{"id":"vidhyamitra:city-day:ujjain:1850-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/1850-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1850-05-15","date_display":"May 15, 1850 CE","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":1850,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396892.770833,"kali_year":4952,"ahargana":1808427.2708,"sun":{"sidereal_longitude":32.3834,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":71.8852,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.5018,"elapsed_within_tithi_degrees":3.5018},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":71.8852,"elapsed_within_degrees":5.2185},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":104.2685},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":1850,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2396892.770833,"ahargana":1808427.2708,"kali_year":4952,"ayanamsa_lahiri":21.7628,"grahas":{"sun":{"sidereal_longitude":32.061327000000006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":73.74402699999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-3.3913},"mars":{"sidereal_longitude":100.23542699999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":56.230526999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":143.25322699999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":52.75182699999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":356.086527,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":120.8204,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":300.8204,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":1850,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396892.770833,"kali_year":4952,"ahargana":1808427.2708,"sun":{"sidereal_longitude":32.3834,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":71.8852,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.5018,"elapsed_within_tithi_degrees":3.5018},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":71.8852,"elapsed_within_degrees":5.2185},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":104.2685},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.391,"elongation":39.502},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.391,"opposition_distance":140.498}},"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":"05:46","sunsetLocal":"19:00","solarNoonLocal":"12:23","dayLengthHours":13.241744180697959,"dayLengthDisplay":"13 Hours 14 Mins 30 Secs","nightLengthDisplay":"10 Hours 45 Mins 30 Secs","moonriseLocal":"08:24","moonsetLocal":"21:55","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"14:02","startHours":12.384829984401232,"endHours":14.040048006988476,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:25","end":"09:04","startHours":7.419175916639497,"endHours":9.074393939226741,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:44","end":"12:23","startHours":10.729611961813987,"endHours":12.384829984401232,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:18","startHours":8.853698202881777,"endHours":9.295089675571708,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.315697234914667,"endHours":6.668810413066613,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.9434385117113,"endHours":12.826221457091165,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:00","end":"04:53","startHours":3.9983920032925244,"endHours":4.881174948672388,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:46","startHours":4.660479212327422,"endHours":5.763957894052252,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:28","startHours":14.591787347850891,"endHours":15.474570293230755,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.80570207475021,"endHours":19.20570207475021,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":19.00570207475021,"endHours":19.557441415612626,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.75570207475021,"endHours":20.50570207475021,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.9434385117113,"endHours":24.826221457091165,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:46","end":"07:25","startHours":5.763957894052252,"endHours":7.419175916639497,"quality":"auspicious"},{"name":"Amṛta","start":"07:25","end":"09:04","startHours":7.419175916639497,"endHours":9.074393939226741,"quality":"auspicious"},{"name":"Kāla","start":"09:04","end":"10:44","startHours":9.074393939226741,"endHours":10.729611961813987,"quality":"inauspicious"},{"name":"Śubha","start":"10:44","end":"12:23","startHours":10.729611961813987,"endHours":12.384829984401232,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"14:02","startHours":12.384829984401232,"endHours":14.040048006988476,"quality":"inauspicious"},{"name":"Udveg","start":"14:02","end":"15:42","startHours":14.040048006988476,"endHours":15.695266029575722,"quality":"inauspicious"},{"name":"Chala","start":"15:42","end":"17:21","startHours":15.695266029575722,"endHours":17.350484052162965,"quality":"neutral"},{"name":"Labha","start":"17:21","end":"19:00","startHours":17.350484052162965,"endHours":19.00570207475021,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:00","end":"20:21","startHours":19.00570207475021,"endHours":20.350484052162965,"quality":"inauspicious"},{"name":"Chala","start":"20:21","end":"21:42","startHours":20.350484052162965,"endHours":21.69526602957572,"quality":"neutral"},{"name":"Labha","start":"21:42","end":"23:02","startHours":21.69526602957572,"endHours":23.040048006988478,"quality":"auspicious"},{"name":"Amṛta","start":"23:02","end":"00:23","startHours":23.040048006988478,"endHours":24.384829984401232,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"01:44","startHours":24.384829984401232,"endHours":25.729611961813987,"quality":"inauspicious"},{"name":"Śubha","start":"01:44","end":"03:04","startHours":25.729611961813987,"endHours":27.07439393922674,"quality":"auspicious"},{"name":"Roga","start":"03:04","end":"04:25","startHours":27.07439393922674,"endHours":28.419175916639496,"quality":"inauspicious"},{"name":"Udveg","start":"04:25","end":"05:46","startHours":28.419175916639496,"endHours":29.763957894052254,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:46","end":"06:46","startHours":5.763957894052252,"endHours":6.763957894052252,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:46","end":"07:46","startHours":6.763957894052252,"endHours":7.763957894052252,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:46","end":"08:46","startHours":7.763957894052252,"endHours":8.763957894052252,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:46","end":"09:46","startHours":8.763957894052252,"endHours":9.763957894052252,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:46","end":"10:46","startHours":9.763957894052252,"endHours":10.763957894052252,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:46","end":"11:46","startHours":10.763957894052252,"endHours":11.763957894052252,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:46","end":"12:46","startHours":11.763957894052252,"endHours":12.763957894052252,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:46","end":"13:46","startHours":12.763957894052252,"endHours":13.763957894052252,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:46","end":"14:46","startHours":13.763957894052252,"endHours":14.763957894052252,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:46","end":"15:46","startHours":14.763957894052252,"endHours":15.763957894052252,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:46","end":"16:46","startHours":15.763957894052252,"endHours":16.763957894052254,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:46","end":"17:46","startHours":16.763957894052254,"endHours":17.763957894052254,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:46","end":"18:46","startHours":17.763957894052254,"endHours":18.763957894052254,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:46","end":"19:46","startHours":18.763957894052254,"endHours":19.763957894052254,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:46","end":"20:46","startHours":19.763957894052254,"endHours":20.763957894052254,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:46","end":"21:46","startHours":20.763957894052254,"endHours":21.763957894052254,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:46","end":"22:46","startHours":21.763957894052254,"endHours":22.763957894052254,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:46","end":"23:46","startHours":22.763957894052254,"endHours":23.763957894052254,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:46","end":"00:46","startHours":23.763957894052254,"endHours":24.763957894052254,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:46","end":"01:46","startHours":24.763957894052254,"endHours":25.763957894052254,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:46","end":"02:46","startHours":25.763957894052254,"endHours":26.763957894052254,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:46","end":"03:46","startHours":26.763957894052254,"endHours":27.763957894052254,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:46","end":"04:46","startHours":27.763957894052254,"endHours":28.763957894052254,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:46","end":"05:46","startHours":28.763957894052254,"endHours":29.763957894052254,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.72662986324255,"eotMinutes":3.7562009359260493,"ayanamsa":21.7628}},"calendars":{"vikram_samvat":1907,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1772,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1257,"malayalam_era":1026,"nanakshahi_year":381,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Caturthī · Vikram 1907 Rudhirodgāri · Śaka 1772 Sādhāraṇa"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 15, 1850 CE · Ujjain · Vidhyamitra","description":"May 15, 1850 CE for Ujjain: Śukla Caturthī, sūryodaya 05:46, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/1850-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/1850-05-15","sa":"https://sa.vidhyamitra.com/city/ujjain/1850-05-15","hi":"https://hi.vidhyamitra.com/city/ujjain/1850-05-15","x-default":"https://vidhyamitra.com/city/ujjain/1850-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T09:51:45.123Z","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":"2026-08-10T09:51:45.123Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T09:51:45.123Z","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"}}}