{"id":"vidhyamitra:city-day:vrindavan:1872-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1872-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1872-05-13","date_display":"May 13, 1872 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":1872,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404926.770833,"kali_year":4974,"ahargana":1816461.2708,"sun":{"sidereal_longitude":30.7621,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":94.9688,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":64.2066,"elapsed_within_tithi_degrees":4.2066},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":94.9688,"elapsed_within_degrees":1.6354},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":125.7309},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1872,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2404926.770833,"ahargana":1816461.2708,"kali_year":4974,"ayanamsa_lahiri":22.07,"grahas":{"sun":{"sidereal_longitude":30.481968999999992,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":91.644769,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":2.8805},"mars":{"sidereal_longitude":33.43906900000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":9.809969000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":93.90506900000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"venus":{"sidereal_longitude":14.951769000000013,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":270.17206899999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":55.1404,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":235.1404,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":"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":1872,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404926.770833,"kali_year":4974,"ahargana":1816461.2708,"sun":{"sidereal_longitude":30.7621,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":94.9688,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":64.2066,"elapsed_within_tithi_degrees":4.2066},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":94.9688,"elapsed_within_degrees":1.6354},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":125.7309},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.88,"elongation":64.207},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.88,"opposition_distance":115.793}},"eclipse_window_40days":[{"offset_days":10,"type":"lunar","occurs":true,"moon_latitude":1.128,"opposition_distance":0.241}]},"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":"19:00","solarNoonLocal":"12:16","dayLengthHours":13.468172048865512,"dayLengthDisplay":"13 Hours 28 Mins 05 Secs","nightLengthDisplay":"10 Hours 31 Mins 55 Secs","moonriseLocal":"09:30","moonsetLocal":"23:10","rahuKala":{"name":"Rāhu Kāla","start":"07:13","end":"08:54","startHours":7.209591502616159,"endHours":8.893113008724349,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:35","end":"12:16","startHours":10.576634514832538,"endHours":12.260156020940727,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:57","end":"15:38","startHours":13.943677527048916,"endHours":15.627199033157105,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.668643474576589,"endHours":9.117582542872107,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:27","startHours":6.087243831877366,"endHours":6.44639508651378,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.811216952645209,"endHours":12.709095089236245,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:38","startHours":3.730313723325902,"endHours":4.628191859916936,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:32","startHours":4.403722325769177,"endHours":5.52606999650797,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.50485136241831,"endHours":15.402729499009345,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.794242045373483,"endHours":19.194242045373482,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":18.994242045373483,"endHours":19.555415880742878,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.744242045373483,"endHours":20.494242045373483,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.81121695264521,"endHours":24.709095089236243,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:32","end":"07:13","startHours":5.52606999650797,"endHours":7.209591502616159,"quality":"auspicious"},{"name":"Kāla","start":"07:13","end":"08:54","startHours":7.209591502616159,"endHours":8.893113008724349,"quality":"inauspicious"},{"name":"Śubha","start":"08:54","end":"10:35","startHours":8.893113008724349,"endHours":10.576634514832538,"quality":"auspicious"},{"name":"Roga","start":"10:35","end":"12:16","startHours":10.576634514832538,"endHours":12.260156020940727,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:57","startHours":12.260156020940727,"endHours":13.943677527048916,"quality":"inauspicious"},{"name":"Chala","start":"13:57","end":"15:38","startHours":13.943677527048916,"endHours":15.627199033157105,"quality":"neutral"},{"name":"Labha","start":"15:38","end":"17:19","startHours":15.627199033157105,"endHours":17.310720539265294,"quality":"auspicious"},{"name":"Amṛta","start":"17:19","end":"19:00","startHours":17.310720539265294,"endHours":18.994242045373483,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:00","end":"20:19","startHours":18.994242045373483,"endHours":20.310720539265294,"quality":"neutral"},{"name":"Labha","start":"20:19","end":"21:38","startHours":20.310720539265294,"endHours":21.627199033157105,"quality":"auspicious"},{"name":"Amṛta","start":"21:38","end":"22:57","startHours":21.627199033157105,"endHours":22.943677527048916,"quality":"auspicious"},{"name":"Kāla","start":"22:57","end":"00:16","startHours":22.943677527048916,"endHours":24.260156020940727,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:35","startHours":24.260156020940727,"endHours":25.576634514832538,"quality":"auspicious"},{"name":"Roga","start":"01:35","end":"02:54","startHours":25.576634514832538,"endHours":26.89311300872435,"quality":"inauspicious"},{"name":"Udveg","start":"02:54","end":"04:13","startHours":26.89311300872435,"endHours":28.20959150261616,"quality":"inauspicious"},{"name":"Chala","start":"04:13","end":"05:32","startHours":28.20959150261616,"endHours":29.52606999650797,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.52606999650797,"endHours":6.52606999650797,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.52606999650797,"endHours":7.52606999650797,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.52606999650797,"endHours":8.526069996507971,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.526069996507971,"endHours":9.526069996507971,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.526069996507971,"endHours":10.526069996507971,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.526069996507971,"endHours":11.526069996507971,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.526069996507971,"endHours":12.526069996507971,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.526069996507971,"endHours":13.526069996507971,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.526069996507971,"endHours":14.526069996507971,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.526069996507971,"endHours":15.526069996507971,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.526069996507971,"endHours":16.52606999650797,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.52606999650797,"endHours":17.52606999650797,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.52606999650797,"endHours":18.52606999650797,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.52606999650797,"endHours":19.52606999650797,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.52606999650797,"endHours":20.52606999650797,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.52606999650797,"endHours":21.52606999650797,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.52606999650797,"endHours":22.52606999650797,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.52606999650797,"endHours":23.52606999650797,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.52606999650797,"endHours":24.52606999650797,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.52606999650797,"endHours":25.52606999650797,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.52606999650797,"endHours":26.52606999650797,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.52606999650797,"endHours":27.52606999650797,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.52606999650797,"endHours":28.52606999650797,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.52606999650797,"endHours":29.52606999650797,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.40681274843613,"eotMinutes":3.7534387435564067,"ayanamsa":22.07}},"calendars":{"vikram_samvat":1929,"vikram_samvatsara":"Pārthiva","saka_samvat":1794,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1279,"malayalam_era":1048,"nanakshahi_year":403,"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 Ṣaṣṭhī · Vikram 1929 Pārthiva · Śaka 1794 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's 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 13, 1872 CE · Vṛndāvana · Vidhyamitra","description":"May 13, 1872 CE for Vṛndāvana: Śukla Ṣaṣṭhī, sūryodaya 05:32, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1872-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1872-05-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/1872-05-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/1872-05-13","x-default":"https://vidhyamitra.com/city/vrindavan/1872-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:44:47.128Z","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":"2026-06-01T00:44:47.128Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:44:47.128Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}