{"id":"vidhyamitra:city-day:vrindavan:1900-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1900-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1900-12-15","date_display":"December 15, 1900 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":1900,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415368.770833,"kali_year":5002,"ahargana":1826903.2708,"sun":{"sidereal_longitude":240.0213,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":161.0653,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.0439,"elapsed_within_tithi_degrees":5.0439},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":161.0653,"elapsed_within_degrees":1.0653},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.0866},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1900,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2415368.770833,"ahargana":1826903.2708,"kali_year":5002,"ayanamsa_lahiri":22.4694,"grahas":{"sun":{"sidereal_longitude":240.16290800000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":162.165208,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":-3.9275},"mars":{"sidereal_longitude":136.74640799999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":221.895708,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":241.123608,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":208.67620799999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":254.42400799999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":221.873,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":41.873,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":"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":1900,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415368.770833,"kali_year":5002,"ahargana":1826903.2708,"sun":{"sidereal_longitude":240.0213,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":161.0653,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.0439,"elapsed_within_tithi_degrees":5.0439},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":161.0653,"elapsed_within_degrees":1.0653},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.0866},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.927,"elongation":78.956},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.927,"opposition_distance":101.044}},"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":"07:03","sunsetLocal":"17:28","solarNoonLocal":"12:15","dayLengthHours":10.413149389166101,"dayLengthDisplay":"10 Hours 24 Mins 47 Secs","nightLengthDisplay":"13 Hours 35 Mins 13 Secs","moonriseLocal":"01:04","moonsetLocal":"13:02","rahuKala":{"name":"Rāhu Kāla","start":"09:39","end":"10:57","startHours":9.64979373548227,"endHours":10.951437409128033,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:33","end":"14:51","startHours":13.554724756419558,"endHours":14.85636843006532,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:03","end":"08:21","startHours":7.046506388190745,"endHours":8.348150061836508,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:49","startHours":9.476241245662836,"endHours":9.823346225301705,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:45","startHours":7.4803876127393325,"endHours":7.758071596450429,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:36","startHours":11.905976103134927,"endHours":12.600186062412666,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:39","end":"06:21","startHours":5.658086469635265,"endHours":6.3522964289130055,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:11","end":"07:03","startHours":6.17874393909357,"endHours":7.046506388190745,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:41","startHours":13.988605980968146,"endHours":14.682815940245886,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.259655777356848,"endHours":17.659655777356846,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.459655777356847,"endHours":17.893537001905436,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.209655777356847,"endHours":18.959655777356847,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:36","startHours":23.905976103134925,"endHours":24.600186062412668,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:03","end":"08:21","startHours":7.046506388190745,"endHours":8.348150061836508,"quality":"inauspicious"},{"name":"Śubha","start":"08:21","end":"09:39","startHours":8.348150061836508,"endHours":9.64979373548227,"quality":"auspicious"},{"name":"Roga","start":"09:39","end":"10:57","startHours":9.64979373548227,"endHours":10.951437409128033,"quality":"inauspicious"},{"name":"Udveg","start":"10:57","end":"12:15","startHours":10.951437409128033,"endHours":12.253081082773797,"quality":"inauspicious"},{"name":"Chala","start":"12:15","end":"13:33","startHours":12.253081082773797,"endHours":13.554724756419558,"quality":"neutral"},{"name":"Labha","start":"13:33","end":"14:51","startHours":13.554724756419558,"endHours":14.85636843006532,"quality":"auspicious"},{"name":"Amṛta","start":"14:51","end":"16:09","startHours":14.85636843006532,"endHours":16.158012103711084,"quality":"auspicious"},{"name":"Kāla","start":"16:09","end":"17:28","startHours":16.158012103711084,"endHours":17.459655777356847,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:28","end":"19:09","startHours":17.459655777356847,"endHours":19.158012103711084,"quality":"auspicious"},{"name":"Amṛta","start":"19:09","end":"20:51","startHours":19.158012103711084,"endHours":20.856368430065324,"quality":"auspicious"},{"name":"Kāla","start":"20:51","end":"22:33","startHours":20.856368430065324,"endHours":22.55472475641956,"quality":"inauspicious"},{"name":"Śubha","start":"22:33","end":"00:15","startHours":22.55472475641956,"endHours":24.253081082773797,"quality":"auspicious"},{"name":"Roga","start":"00:15","end":"01:57","startHours":24.253081082773797,"endHours":25.951437409128033,"quality":"inauspicious"},{"name":"Udveg","start":"01:57","end":"03:39","startHours":25.951437409128033,"endHours":27.64979373548227,"quality":"inauspicious"},{"name":"Chala","start":"03:39","end":"05:21","startHours":27.64979373548227,"endHours":29.34815006183651,"quality":"neutral"},{"name":"Labha","start":"05:21","end":"07:03","startHours":29.34815006183651,"endHours":31.046506388190746,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.046506388190745,"endHours":8.046506388190746,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.046506388190746,"endHours":9.046506388190746,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.046506388190746,"endHours":10.046506388190746,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.046506388190746,"endHours":11.046506388190746,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.046506388190746,"endHours":12.046506388190746,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.046506388190746,"endHours":13.046506388190746,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.046506388190746,"endHours":14.046506388190746,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.046506388190746,"endHours":15.046506388190746,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.046506388190746,"endHours":16.046506388190746,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.046506388190746,"endHours":17.046506388190746,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.046506388190746,"endHours":18.046506388190746,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.046506388190746,"endHours":19.046506388190746,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.046506388190746,"endHours":20.046506388190746,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.046506388190746,"endHours":21.046506388190746,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.046506388190746,"endHours":22.046506388190746,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.046506388190746,"endHours":23.046506388190746,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.046506388190746,"endHours":24.046506388190746,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.046506388190746,"endHours":25.046506388190746,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.046506388190746,"endHours":26.046506388190746,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.046506388190746,"endHours":27.046506388190746,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.046506388190746,"endHours":28.046506388190746,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.046506388190746,"endHours":29.046506388190746,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.046506388190746,"endHours":30.046506388190746,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.046506388190746,"endHours":31.046506388190746,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.23159126830036,"eotMinutes":4.177935033572184,"ayanamsa":22.4694}},"calendars":{"vikram_samvat":1957,"vikram_samvatsara":"Pramādī","saka_samvat":1822,"saka_samvatsara":"Śārvarī","bengali_samvat":1307,"malayalam_era":1076,"nanakshahi_year":431,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Navamī · Vikram 1957 Pramādī · Śaka 1822 Śārvarī"},"festivals":[{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi_ingress":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 December 15, 1900 CE · Vṛndāvana · Vidhyamitra","description":"December 15, 1900 CE for Vṛndāvana: Kṛṣṇa Navamī, sūryodaya 07:03, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1900-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1900-12-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/1900-12-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/1900-12-15","x-default":"https://vidhyamitra.com/city/vrindavan/1900-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:13:43.592Z","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":"2026-06-01T08:13:43.592Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:13:43.592Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}