{"id":"vidhyamitra:city-day:vrindavan:1869-12-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1869-12-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1869-12-07","date_display":"December 7, 1869 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":1869,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404038.770833,"kali_year":4971,"ahargana":1815573.2708,"sun":{"sidereal_longitude":232.8663,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":278.886,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.0197,"elapsed_within_tithi_degrees":10.0197},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.886,"elapsed_within_degrees":12.2193},"yoga":{"number":12,"name":"Dhruva","sum_longitude":151.7523},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1869,"month":12,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2404038.770833,"ahargana":1815573.2708,"kali_year":4971,"ayanamsa_lahiri":22.0361,"grahas":{"sun":{"sidereal_longitude":232.99449800000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":278.532998,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":0.2592},"mars":{"sidereal_longitude":256.650898,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":231.06199800000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":22.188198,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":281.947398,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":238.01469799999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":102.191,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":282.191,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":1869,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404038.770833,"kali_year":4971,"ahargana":1815573.2708,"sun":{"sidereal_longitude":232.8663,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":278.886,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.0197,"elapsed_within_tithi_degrees":10.0197},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.886,"elapsed_within_degrees":12.2193},"yoga":{"number":12,"name":"Dhruva","sum_longitude":151.7523},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.259,"elongation":46.02},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.259,"opposition_distance":133.98}},"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":"06:58","sunsetLocal":"17:26","solarNoonLocal":"12:12","dayLengthHours":10.465727375875423,"dayLengthDisplay":"10 Hours 27 Mins 57 Secs","nightLengthDisplay":"13 Hours 32 Mins 03 Secs","moonriseLocal":"09:55","moonsetLocal":"20:33","rahuKala":{"name":"Rāhu Kāla","start":"14:49","end":"16:07","startHours":14.810416901913234,"endHours":16.118632823897663,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:35","end":"10:53","startHours":9.577553213975524,"endHours":10.88576913595995,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:12","end":"13:30","startHours":12.193985057944378,"endHours":13.502200979928807,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:45","startHours":9.4031244243776,"endHours":9.751982003573447,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:41","startHours":7.397193344001477,"endHours":7.676279407358154,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:33","startHours":11.845127478748532,"endHours":12.542842637140227,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:34","end":"06:16","startHours":5.5656910532232775,"endHours":6.2634062116149725,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:05","end":"06:58","startHours":6.088977422017049,"endHours":6.961121370006667,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:38","startHours":13.938272953923615,"endHours":14.63598811231531,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.22684874588209,"endHours":17.62684874588209,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.42684874588209,"endHours":17.8629207198769,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.17684874588209,"endHours":18.92684874588209,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:33","startHours":23.845127478748534,"endHours":24.54284263714023,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:58","end":"08:16","startHours":6.961121370006667,"endHours":8.269337291991095,"quality":"inauspicious"},{"name":"Udveg","start":"08:16","end":"09:35","startHours":8.269337291991095,"endHours":9.577553213975524,"quality":"inauspicious"},{"name":"Chala","start":"09:35","end":"10:53","startHours":9.577553213975524,"endHours":10.88576913595995,"quality":"neutral"},{"name":"Labha","start":"10:53","end":"12:12","startHours":10.88576913595995,"endHours":12.193985057944378,"quality":"auspicious"},{"name":"Amṛta","start":"12:12","end":"13:30","startHours":12.193985057944378,"endHours":13.502200979928807,"quality":"auspicious"},{"name":"Kāla","start":"13:30","end":"14:49","startHours":13.502200979928807,"endHours":14.810416901913234,"quality":"inauspicious"},{"name":"Śubha","start":"14:49","end":"16:07","startHours":14.810416901913234,"endHours":16.118632823897663,"quality":"auspicious"},{"name":"Roga","start":"16:07","end":"17:26","startHours":16.118632823897663,"endHours":17.42684874588209,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:26","end":"19:07","startHours":17.42684874588209,"endHours":19.118632823897663,"quality":"inauspicious"},{"name":"Śubha","start":"19:07","end":"20:49","startHours":19.118632823897663,"endHours":20.810416901913236,"quality":"auspicious"},{"name":"Roga","start":"20:49","end":"22:30","startHours":20.810416901913236,"endHours":22.50220097992881,"quality":"inauspicious"},{"name":"Udveg","start":"22:30","end":"00:12","startHours":22.50220097992881,"endHours":24.193985057944378,"quality":"inauspicious"},{"name":"Chala","start":"00:12","end":"01:53","startHours":24.193985057944378,"endHours":25.88576913595995,"quality":"neutral"},{"name":"Labha","start":"01:53","end":"03:35","startHours":25.88576913595995,"endHours":27.577553213975524,"quality":"auspicious"},{"name":"Amṛta","start":"03:35","end":"05:16","startHours":27.577553213975524,"endHours":29.269337291991093,"quality":"auspicious"},{"name":"Kāla","start":"05:16","end":"06:58","startHours":29.269337291991093,"endHours":30.961121370006666,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.961121370006667,"endHours":7.961121370006667,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.961121370006667,"endHours":8.961121370006667,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.961121370006667,"endHours":9.961121370006667,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.961121370006667,"endHours":10.961121370006667,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.961121370006667,"endHours":11.961121370006667,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.961121370006667,"endHours":12.961121370006667,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.961121370006667,"endHours":13.961121370006667,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.961121370006667,"endHours":14.961121370006667,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.961121370006667,"endHours":15.961121370006667,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.961121370006667,"endHours":16.961121370006666,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.961121370006666,"endHours":17.961121370006666,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.961121370006666,"endHours":18.961121370006666,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.961121370006666,"endHours":19.961121370006666,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.961121370006666,"endHours":20.961121370006666,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.961121370006666,"endHours":21.961121370006666,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.961121370006666,"endHours":22.961121370006666,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.961121370006666,"endHours":23.961121370006666,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.961121370006666,"endHours":24.961121370006666,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.961121370006666,"endHours":25.961121370006666,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.961121370006666,"endHours":26.961121370006666,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.961121370006666,"endHours":27.961121370006666,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.961121370006666,"endHours":28.961121370006666,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.961121370006666,"endHours":29.961121370006666,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.961121370006666,"endHours":30.961121370006666,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.596254814733353,"eotMinutes":7.723696523337262,"ayanamsa":22.0361}},"calendars":{"vikram_samvat":1926,"vikram_samvatsara":"Citrabhānu","saka_samvat":1791,"saka_samvatsara":"Śukla","bengali_samvat":1276,"malayalam_era":1045,"nanakshahi_year":400,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturthī · Vikram 1926 Citrabhānu · Śaka 1791 Śukla"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 7, 1869 CE · Vṛndāvana · Vidhyamitra","description":"December 7, 1869 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 06:58, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1869-12-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1869-12-07","sa":"https://sa.vidhyamitra.com/city/vrindavan/1869-12-07","hi":"https://hi.vidhyamitra.com/city/vrindavan/1869-12-07","x-default":"https://vidhyamitra.com/city/vrindavan/1869-12-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T15:38:23.244Z","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":"2026-06-01T15:38:23.244Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T15:38:23.244Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}