{"id":"vidhyamitra:city-day:vrindavan:2101-05-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2101-05-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-05-12","date_display":"May 12, 2101 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2101,"month":5,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488565.770833,"kali_year":5203,"ahargana":1900100.2708,"sun":{"sidereal_longitude":25.72,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":186.3744,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":160.6544,"elapsed_within_tithi_degrees":4.6544},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":186.3744,"elapsed_within_degrees":13.0411},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.0945},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2101,"month":5,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488565.770833,"ahargana":1900100.2708,"kali_year":5203,"ayanamsa_lahiri":25.2689,"grahas":{"sun":{"sidereal_longitude":25.94754499999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":186.35974499999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-4.0026},"mars":{"sidereal_longitude":324.6552449999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":37.295045000000016,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":201.962045,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":42.414244999999994,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":187.61484500000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":303.5437,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.5437,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2101,"month":5,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488565.770833,"kali_year":5203,"ahargana":1900100.2708,"sun":{"sidereal_longitude":25.72,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":186.3744,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":160.6544,"elapsed_within_tithi_degrees":4.6544},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":186.3744,"elapsed_within_degrees":13.0411},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.0945},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.003,"elongation":160.654},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.003,"opposition_distance":19.346}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:32","sunsetLocal":"18:59","solarNoonLocal":"12:16","dayLengthHours":13.44078109129839,"dayLengthDisplay":"13 Hours 26 Mins 27 Secs","nightLengthDisplay":"10 Hours 33 Mins 33 Secs","moonriseLocal":"17:20","moonsetLocal":"04:34","rahuKala":{"name":"Rāhu Kāla","start":"13:56","end":"15:37","startHours":13.94051797508449,"endHours":15.620615611496788,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:32","end":"07:13","startHours":5.540029793022996,"endHours":7.220127429435295,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:54","end":"10:35","startHours":8.900225065847593,"endHours":10.580322702259892,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:07","startHours":8.676212047659288,"endHours":9.1242380840359,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:28","startHours":6.100062338493762,"endHours":6.458483167595053,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.812394302295578,"endHours":12.708446375048803,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:45","end":"04:39","startHours":3.747925647516544,"endHours":4.6439777202697705,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:32","startHours":4.419964702081463,"endHours":5.540029793022996,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.500550520555258,"endHours":15.396602593308485,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.780810884321387,"endHours":19.180810884321385,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.980810884321386,"endHours":19.54084342979215,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.730810884321386,"endHours":20.480810884321386,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.812394302295576,"endHours":24.708446375048805,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:32","end":"07:13","startHours":5.540029793022996,"endHours":7.220127429435295,"quality":"auspicious"},{"name":"Roga","start":"07:13","end":"08:54","startHours":7.220127429435295,"endHours":8.900225065847593,"quality":"inauspicious"},{"name":"Udveg","start":"08:54","end":"10:35","startHours":8.900225065847593,"endHours":10.580322702259892,"quality":"inauspicious"},{"name":"Chala","start":"10:35","end":"12:16","startHours":10.580322702259892,"endHours":12.26042033867219,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:56","startHours":12.26042033867219,"endHours":13.94051797508449,"quality":"auspicious"},{"name":"Amṛta","start":"13:56","end":"15:37","startHours":13.94051797508449,"endHours":15.620615611496788,"quality":"auspicious"},{"name":"Kāla","start":"15:37","end":"17:18","startHours":15.620615611496788,"endHours":17.300713247909087,"quality":"inauspicious"},{"name":"Śubha","start":"17:18","end":"18:59","startHours":17.300713247909087,"endHours":18.980810884321386,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:59","end":"20:18","startHours":18.980810884321386,"endHours":20.300713247909087,"quality":"auspicious"},{"name":"Kāla","start":"20:18","end":"21:37","startHours":20.300713247909087,"endHours":21.62061561149679,"quality":"inauspicious"},{"name":"Śubha","start":"21:37","end":"22:56","startHours":21.62061561149679,"endHours":22.94051797508449,"quality":"auspicious"},{"name":"Roga","start":"22:56","end":"00:16","startHours":22.94051797508449,"endHours":24.26042033867219,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"01:35","startHours":24.26042033867219,"endHours":25.580322702259892,"quality":"inauspicious"},{"name":"Chala","start":"01:35","end":"02:54","startHours":25.580322702259892,"endHours":26.900225065847593,"quality":"neutral"},{"name":"Labha","start":"02:54","end":"04:13","startHours":26.900225065847593,"endHours":28.220127429435294,"quality":"auspicious"},{"name":"Amṛta","start":"04:13","end":"05:32","startHours":28.220127429435294,"endHours":29.540029793022995,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.540029793022996,"endHours":6.540029793022996,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.540029793022996,"endHours":7.540029793022996,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.540029793022996,"endHours":8.540029793022995,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.540029793022995,"endHours":9.540029793022995,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.540029793022995,"endHours":10.540029793022995,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.540029793022995,"endHours":11.540029793022995,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.540029793022995,"endHours":12.540029793022995,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.540029793022995,"endHours":13.540029793022995,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.540029793022995,"endHours":14.540029793022995,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.540029793022995,"endHours":15.540029793022995,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.540029793022995,"endHours":16.540029793022995,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.540029793022995,"endHours":17.540029793022995,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.540029793022995,"endHours":18.540029793022995,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.540029793022995,"endHours":19.540029793022995,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.540029793022995,"endHours":20.540029793022995,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.540029793022995,"endHours":21.540029793022995,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.540029793022995,"endHours":22.540029793022995,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.540029793022995,"endHours":23.540029793022995,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.540029793022995,"endHours":24.540029793022995,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.540029793022995,"endHours":25.540029793022995,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.540029793022995,"endHours":26.540029793022995,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.540029793022995,"endHours":27.540029793022995,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.540029793022995,"endHours":28.540029793022995,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.540029793022995,"endHours":29.540029793022995,"planetary_lord":"Moon"}],"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":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Kāladaṇḍa","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":18.061612482516427,"eotMinutes":3.7375796796685163,"ayanamsa":25.2689}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"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":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Caturdaśī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"festivals":[{"id":"narasimha-jayanti","name":"Narasiṁha Jayantī","name_sanskrit":"नरसिंह जयन्ती","tradition":"Vaishnava","associated_deity":"Narasiṁha (avatar of Krishna)","deity_avatara_index":14,"significance":"Bhagavān Narasiṁha manifested to protect the bhakta Prahlāda. Krishna's fierce protective form.","vrata":true,"primary_observance":"Sandhyā (twilight) abhiṣekam; recitation of Narasiṁha-Stotra","detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1,"related_chart":"narasimha","sources":["Bhāgavata Purāṇa 7.8"]},{"id":"chhinnamasta-jayanti","name":"Chhinnamastā Jayantī","name_sanskrit":"छिन्नमस्ता जयन्ती","tradition":"Shakta","associated_deity":"Devī Chhinnamastā (6th of 10 Mahāvidyās)","significance":"The 6th of the Daśa Mahāvidyās. Devī's self-decapitation form representing transcendence of ego.","vrata":false,"detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":5}],"todays_walk":{"walk":{"id":"narasimha-jayanti-walk","name":"Narasiṁha Jayantī Walk","name_sanskrit":"नरसिंह जयन्ती यात्रा","type":"festival","description":"Bhāgavata 7.8 (Prahlāda-Narasiṁha) + protective verses.","step_count":9,"url":"/walk/narasimha-jayanti-walk"},"reason":"Today is Narasiṁha Jayantī — its dedicated walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 12, 2101 CE · Vṛndāvana · Vidhyamitra","description":"May 12, 2101 CE for Vṛndāvana: Śukla Caturdaśī, sūryodaya 05:32, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2101-05-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2101-05-12","sa":"https://sa.vidhyamitra.com/city/vrindavan/2101-05-12","hi":"https://hi.vidhyamitra.com/city/vrindavan/2101-05-12","x-default":"https://vidhyamitra.com/city/vrindavan/2101-05-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T00:03:17.300Z","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":"2026-06-03T00:03:17.300Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T00:03:17.300Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}