{"id":"vidhyamitra:city-day:ujjain:2048-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2048-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2048-05-15","date_display":"May 15, 2048 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":2048,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469211.770833,"kali_year":5150,"ahargana":1880746.2708,"sun":{"sidereal_longitude":30.2436,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":56.6392,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":26.3957,"elapsed_within_tithi_degrees":2.3957},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.6392,"elapsed_within_degrees":3.3059},"yoga":{"number":7,"name":"Sukarma","sum_longitude":86.8828},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":2048,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469211.770833,"ahargana":1880746.2708,"kali_year":5150,"ayanamsa_lahiri":24.5287,"grahas":{"sun":{"sidereal_longitude":30.37401,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":53.919010000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":0.9633},"mars":{"sidereal_longitude":233.84811000000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":46.08521000000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":40.25241,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":26.02580999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":260.26751,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":249.0118,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":69.0118,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"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":2048,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469211.770833,"kali_year":5150,"ahargana":1880746.2708,"sun":{"sidereal_longitude":30.2436,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":56.6392,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":26.3957,"elapsed_within_tithi_degrees":2.3957},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.6392,"elapsed_within_degrees":3.3059},"yoga":{"number":7,"name":"Sukarma","sum_longitude":86.8828},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.963,"elongation":26.396},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.963,"opposition_distance":153.604}},"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":"05:45","sunsetLocal":"19:01","solarNoonLocal":"12:23","dayLengthHours":13.25901157499598,"dayLengthDisplay":"13 Hours 15 Mins 32 Secs","nightLengthDisplay":"10 Hours 44 Mins 28 Secs","moonriseLocal":"07:13","moonsetLocal":"20:42","rahuKala":{"name":"Rāhu Kāla","start":"10:44","end":"12:23","startHours":10.727453537526735,"endHours":12.384829984401232,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:42","end":"17:21","startHours":15.699582878150228,"endHours":17.356959325024725,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:25","end":"09:04","startHours":7.412700643777739,"endHours":9.070077090652237,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:17","startHours":8.849093564402303,"endHours":9.291060616902168,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:40","startHours":6.307783012528073,"endHours":6.6613566545279665,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.942862931901367,"endHours":12.826797036901098,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:59","end":"04:52","startHours":3.987455986903777,"endHours":4.871390091903509,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:45","startHours":4.650406565653576,"endHours":5.755324196903241,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:29","startHours":14.594665246900561,"endHours":15.478599351900293,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.814335771899223,"endHours":19.214335771899222,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:34","startHours":19.014335771899223,"endHours":19.566794587524054,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.764335771899223,"endHours":20.514335771899223,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.942862931901367,"endHours":24.826797036901098,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:45","end":"07:25","startHours":5.755324196903241,"endHours":7.412700643777739,"quality":"neutral"},{"name":"Labha","start":"07:25","end":"09:04","startHours":7.412700643777739,"endHours":9.070077090652237,"quality":"auspicious"},{"name":"Amṛta","start":"09:04","end":"10:44","startHours":9.070077090652237,"endHours":10.727453537526735,"quality":"auspicious"},{"name":"Kāla","start":"10:44","end":"12:23","startHours":10.727453537526735,"endHours":12.384829984401232,"quality":"inauspicious"},{"name":"Śubha","start":"12:23","end":"14:03","startHours":12.384829984401232,"endHours":14.04220643127573,"quality":"auspicious"},{"name":"Roga","start":"14:03","end":"15:42","startHours":14.04220643127573,"endHours":15.699582878150228,"quality":"inauspicious"},{"name":"Udveg","start":"15:42","end":"17:21","startHours":15.699582878150228,"endHours":17.356959325024725,"quality":"inauspicious"},{"name":"Chala","start":"17:21","end":"19:01","startHours":17.356959325024725,"endHours":19.014335771899223,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:01","end":"20:21","startHours":19.014335771899223,"endHours":20.356959325024725,"quality":"inauspicious"},{"name":"Udveg","start":"20:21","end":"21:42","startHours":20.356959325024725,"endHours":21.699582878150228,"quality":"inauspicious"},{"name":"Chala","start":"21:42","end":"23:03","startHours":21.699582878150228,"endHours":23.04220643127573,"quality":"neutral"},{"name":"Labha","start":"23:03","end":"00:23","startHours":23.04220643127573,"endHours":24.384829984401232,"quality":"auspicious"},{"name":"Amṛta","start":"00:23","end":"01:44","startHours":24.384829984401232,"endHours":25.727453537526735,"quality":"auspicious"},{"name":"Kāla","start":"01:44","end":"03:04","startHours":25.727453537526735,"endHours":27.070077090652237,"quality":"inauspicious"},{"name":"Śubha","start":"03:04","end":"04:25","startHours":27.070077090652237,"endHours":28.41270064377774,"quality":"auspicious"},{"name":"Roga","start":"04:25","end":"05:45","startHours":28.41270064377774,"endHours":29.755324196903242,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.755324196903241,"endHours":6.755324196903241,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.755324196903241,"endHours":7.755324196903241,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.755324196903241,"endHours":8.755324196903242,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.755324196903242,"endHours":9.755324196903242,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.755324196903242,"endHours":10.755324196903242,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.755324196903242,"endHours":11.755324196903242,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.755324196903242,"endHours":12.755324196903242,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.755324196903242,"endHours":13.755324196903242,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.755324196903242,"endHours":14.755324196903242,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.755324196903242,"endHours":15.755324196903242,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.755324196903242,"endHours":16.755324196903242,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.755324196903242,"endHours":17.755324196903242,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.755324196903242,"endHours":18.755324196903242,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.755324196903242,"endHours":19.755324196903242,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.755324196903242,"endHours":20.755324196903242,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.755324196903242,"endHours":21.755324196903242,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.755324196903242,"endHours":22.755324196903242,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.755324196903242,"endHours":23.755324196903242,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.755324196903242,"endHours":24.755324196903242,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.755324196903242,"endHours":25.755324196903242,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.755324196903242,"endHours":26.755324196903242,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.755324196903242,"endHours":27.755324196903242,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.755324196903242,"endHours":28.755324196903242,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.755324196903242,"endHours":29.755324196903242,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.99075087954937,"eotMinutes":3.7562009359260493,"ayanamsa":24.5287}},"calendars":{"vikram_samvat":2105,"vikram_samvatsara":"Vṛṣa","saka_samvat":1970,"saka_samvatsara":"Vibhava","bengali_samvat":1455,"malayalam_era":1224,"nanakshahi_year":579,"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 Tṛtīyā · Vikram 2105 Vṛṣa · Śaka 1970 Vibhava"},"festivals":[{"id":"akshaya-tritiya","name":"Akṣaya Tṛtīyā","name_sanskrit":"अक्षय तृतीया","tradition":"Pan-Hindu","significance":"\"Inexhaustible third\"; auspicious for any new venture.","vrata":false,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1},{"id":"parashurama-jayanti","name":"Paraśurāma Jayantī","name_sanskrit":"परशुराम जयन्ती","tradition":"Vaishnava","associated_deity":"Paraśurāma (6th daśāvatāra of Krishna)","deity_avatara_index":16,"significance":"Paraśurāma's manifestation; ciranjīvi-pratiṣṭhā. Coincides with Akṣaya Tṛtīyā.","vrata":true,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":2,"sources":["Bhāgavata 9.15-16"]},{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛṣabha"},"precedence":5}],"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":"Dedicated festival walk for Akṣaya Tṛtīyā · Paraśurāma Jayantī · Vṛṣabha Saṅkrānti is not live yet; Śukravāra (Friday) — 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, 2048 CE · Ujjain · Vidhyamitra","description":"May 15, 2048 CE for Ujjain: Śukla Tṛtīyā, sūryodaya 05:45, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2048-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2048-05-15","sa":"https://sa.vidhyamitra.com/city/ujjain/2048-05-15","hi":"https://hi.vidhyamitra.com/city/ujjain/2048-05-15","x-default":"https://vidhyamitra.com/city/ujjain/2048-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T17:54:37.967Z","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":"2026-09-11T17:54:37.967Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T17:54:37.967Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}