{"id":"vidhyamitra:city-day:vrindavan:1903-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1903-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1903-08-13","date_display":"August 13, 1903 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":1903,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416339.770833,"kali_year":5005,"ahargana":1827874.2708,"sun":{"sidereal_longitude":116.2346,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":351.619,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.3844,"elapsed_within_tithi_degrees":7.3844},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.619,"elapsed_within_degrees":4.9523},"yoga":{"number":9,"name":"Śūla","sum_longitude":107.8536},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":1903,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2416339.770833,"ahargana":1827874.2708,"kali_year":5005,"ayanamsa_lahiri":22.5065,"grahas":{"sun":{"sidereal_longitude":116.60580900000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":348.645109,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false,"latitude":-0.0937},"mars":{"sidereal_longitude":192.55210899999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":134.54210899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":330.7084090000001,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":156.883509,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":283.853709,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":170.4248,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":350.4248,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":1903,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416339.770833,"kali_year":5005,"ahargana":1827874.2708,"sun":{"sidereal_longitude":116.2346,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":351.619,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.3844,"elapsed_within_tithi_degrees":7.3844},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.619,"elapsed_within_degrees":4.9523},"yoga":{"number":9,"name":"Śūla","sum_longitude":107.8536},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.094,"elongation":124.616},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.094,"opposition_distance":55.384}},"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":"05:48","sunsetLocal":"19:00","solarNoonLocal":"12:24","dayLengthHours":13.210123314712225,"dayLengthDisplay":"13 Hours 12 Mins 36 Secs","nightLengthDisplay":"10 Hours 47 Mins 24 Secs","moonriseLocal":"21:40","moonsetLocal":"10:04","rahuKala":{"name":"Rāhu Kāla","start":"14:03","end":"15:42","startHours":14.050004093309287,"endHours":15.701269507648314,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:48","end":"07:27","startHours":5.793677021614146,"endHours":7.444942435953174,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:06","end":"10:45","startHours":9.096207850292203,"endHours":10.74747326463123,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.87603912838033,"endHours":9.316376572204073,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:42","startHours":6.344098826393822,"endHours":6.696368781452814,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.958401235146518,"endHours":12.839076122793998,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:02","end":"04:55","startHours":4.032327246319182,"endHours":4.913002133966664,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:48","startHours":4.692833412054794,"endHours":5.793677021614146,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:29","startHours":14.600425898088963,"endHours":15.481100785736444,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.803800336326372,"endHours":19.20380033632637,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":19.00380033632637,"endHours":19.55422214110605,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.75380033632637,"endHours":20.50380033632637,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.958401235146518,"endHours":24.839076122793998,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:48","end":"07:27","startHours":5.793677021614146,"endHours":7.444942435953174,"quality":"auspicious"},{"name":"Roga","start":"07:27","end":"09:06","startHours":7.444942435953174,"endHours":9.096207850292203,"quality":"inauspicious"},{"name":"Udveg","start":"09:06","end":"10:45","startHours":9.096207850292203,"endHours":10.74747326463123,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:24","startHours":10.74747326463123,"endHours":12.398738678970258,"quality":"neutral"},{"name":"Labha","start":"12:24","end":"14:03","startHours":12.398738678970258,"endHours":14.050004093309287,"quality":"auspicious"},{"name":"Amṛta","start":"14:03","end":"15:42","startHours":14.050004093309287,"endHours":15.701269507648314,"quality":"auspicious"},{"name":"Kāla","start":"15:42","end":"17:21","startHours":15.701269507648314,"endHours":17.352534921987342,"quality":"inauspicious"},{"name":"Śubha","start":"17:21","end":"19:00","startHours":17.352534921987342,"endHours":19.00380033632637,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:00","end":"20:21","startHours":19.00380033632637,"endHours":20.352534921987342,"quality":"auspicious"},{"name":"Kāla","start":"20:21","end":"21:42","startHours":20.352534921987342,"endHours":21.701269507648316,"quality":"inauspicious"},{"name":"Śubha","start":"21:42","end":"23:03","startHours":21.701269507648316,"endHours":23.050004093309287,"quality":"auspicious"},{"name":"Roga","start":"23:03","end":"00:24","startHours":23.050004093309287,"endHours":24.398738678970258,"quality":"inauspicious"},{"name":"Udveg","start":"00:24","end":"01:45","startHours":24.398738678970258,"endHours":25.747473264631232,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:06","startHours":25.747473264631232,"endHours":27.096207850292203,"quality":"neutral"},{"name":"Labha","start":"03:06","end":"04:27","startHours":27.096207850292203,"endHours":28.444942435953173,"quality":"auspicious"},{"name":"Amṛta","start":"04:27","end":"05:48","startHours":28.444942435953173,"endHours":29.793677021614144,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:48","end":"06:48","startHours":5.793677021614146,"endHours":6.793677021614146,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:48","end":"07:48","startHours":6.793677021614146,"endHours":7.793677021614146,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:48","end":"08:48","startHours":7.793677021614146,"endHours":8.793677021614146,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:48","end":"09:48","startHours":8.793677021614146,"endHours":9.793677021614146,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:48","end":"10:48","startHours":9.793677021614146,"endHours":10.793677021614146,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:48","end":"11:48","startHours":10.793677021614146,"endHours":11.793677021614146,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:48","end":"12:48","startHours":11.793677021614146,"endHours":12.793677021614146,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:48","end":"13:48","startHours":12.793677021614146,"endHours":13.793677021614146,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:48","end":"14:48","startHours":13.793677021614146,"endHours":14.793677021614146,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:48","end":"15:48","startHours":14.793677021614146,"endHours":15.793677021614146,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:48","end":"16:48","startHours":15.793677021614146,"endHours":16.793677021614144,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:48","end":"17:48","startHours":16.793677021614144,"endHours":17.793677021614144,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:48","end":"18:48","startHours":17.793677021614144,"endHours":18.793677021614144,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:48","end":"19:48","startHours":18.793677021614144,"endHours":19.793677021614144,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:48","end":"20:48","startHours":19.793677021614144,"endHours":20.793677021614144,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:48","end":"21:48","startHours":20.793677021614144,"endHours":21.793677021614144,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:48","end":"22:48","startHours":21.793677021614144,"endHours":22.793677021614144,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:48","end":"23:48","startHours":22.793677021614144,"endHours":23.793677021614144,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:48","end":"00:48","startHours":23.793677021614144,"endHours":24.793677021614144,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:48","end":"01:48","startHours":24.793677021614144,"endHours":25.793677021614144,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:48","end":"02:48","startHours":25.793677021614144,"endHours":26.793677021614144,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:48","end":"03:48","startHours":26.793677021614144,"endHours":27.793677021614144,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:48","end":"04:48","startHours":27.793677021614144,"endHours":28.793677021614144,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:48","end":"05:48","startHours":28.793677021614144,"endHours":29.793677021614144,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.090657912277436,"eotMinutes":-4.561520738215509,"ayanamsa":22.5065}},"calendars":{"vikram_samvat":1960,"vikram_samvatsara":"Nala","saka_samvat":1825,"saka_samvatsara":"Śobhana","bengali_samvat":1310,"malayalam_era":1079,"nanakshahi_year":434,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Pañcamī · Vikram 1960 Nala · Śaka 1825 Śobhana"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 August 13, 1903 CE · Vṛndāvana · Vidhyamitra","description":"August 13, 1903 CE for Vṛndāvana: Kṛṣṇa Pañcamī, sūryodaya 05:48, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1903-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1903-08-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/1903-08-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/1903-08-13","x-default":"https://vidhyamitra.com/city/vrindavan/1903-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T01:28:12.516Z","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":"2026-06-01T01:28:12.516Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T01:28:12.516Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}