{"id":"vidhyamitra:city-day:rishikesh:1876-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1876-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1876-12-21","date_display":"December 21, 1876 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":1876,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406609.770833,"kali_year":4978,"ahargana":1818144.2708,"sun":{"sidereal_longitude":247.4256,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":308.6092,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.1837,"elapsed_within_tithi_degrees":1.1837},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.6092,"elapsed_within_degrees":1.9426},"yoga":{"number":15,"name":"Vajra","sum_longitude":196.0348},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":1876,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406609.770833,"ahargana":1818144.2708,"kali_year":4978,"ayanamsa_lahiri":22.1344,"grahas":{"sun":{"sidereal_longitude":247.44836600000008,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":304.86006599999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":-1.3413},"mars":{"sidereal_longitude":203.520666,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":258.534166,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":236.04086600000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":216.161566,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":312.12906599999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":325.967,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":145.967,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"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":1876,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406609.770833,"kali_year":4978,"ahargana":1818144.2708,"sun":{"sidereal_longitude":247.4256,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":308.6092,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.1837,"elapsed_within_tithi_degrees":1.1837},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.6092,"elapsed_within_degrees":1.9426},"yoga":{"number":15,"name":"Vajra","sum_longitude":196.0348},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.341,"elongation":61.184},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.341,"opposition_distance":118.816}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"07:09","sunsetLocal":"17:22","solarNoonLocal":"12:16","dayLengthHours":10.204790841192729,"dayLengthDisplay":"10 Hours 12 Mins 17 Secs","nightLengthDisplay":"13 Hours 47 Mins 43 Secs","moonriseLocal":"10:32","moonsetLocal":"21:38","rahuKala":{"name":"Rāhu Kāla","start":"13:32","end":"14:49","startHours":13.534715031700054,"endHours":14.810313886849144,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:09","end":"08:26","startHours":7.1567207559545984,"endHours":8.43231961110369,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:42","end":"10:59","startHours":9.707918466252782,"endHours":10.983517321401871,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:53","startHours":9.537838618899569,"endHours":9.877998313605993,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:51","startHours":7.581920374337629,"endHours":7.854048130102768,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:36","startHours":11.918956481844539,"endHours":12.599275871257387,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:48","end":"06:29","startHours":5.796081977128901,"endHours":6.47640136654175,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:09","startHours":6.306321519188538,"endHours":7.1567207559545984,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:38","startHours":13.959914650083086,"endHours":14.640234039495935,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.161511597147328,"endHours":17.561511597147327,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:47","startHours":17.361511597147327,"endHours":17.786711215530357,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.111511597147327,"endHours":18.861511597147327,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:36","startHours":23.918956481844535,"endHours":24.599275871257387,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:09","end":"08:26","startHours":7.1567207559545984,"endHours":8.43231961110369,"quality":"auspicious"},{"name":"Roga","start":"08:26","end":"09:42","startHours":8.43231961110369,"endHours":9.707918466252782,"quality":"inauspicious"},{"name":"Udveg","start":"09:42","end":"10:59","startHours":9.707918466252782,"endHours":10.983517321401871,"quality":"inauspicious"},{"name":"Chala","start":"10:59","end":"12:16","startHours":10.983517321401871,"endHours":12.259116176550963,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:32","startHours":12.259116176550963,"endHours":13.534715031700054,"quality":"auspicious"},{"name":"Amṛta","start":"13:32","end":"14:49","startHours":13.534715031700054,"endHours":14.810313886849144,"quality":"auspicious"},{"name":"Kāla","start":"14:49","end":"16:05","startHours":14.810313886849144,"endHours":16.085912741998236,"quality":"inauspicious"},{"name":"Śubha","start":"16:05","end":"17:22","startHours":16.085912741998236,"endHours":17.361511597147327,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:22","end":"19:05","startHours":17.361511597147327,"endHours":19.085912741998236,"quality":"auspicious"},{"name":"Kāla","start":"19:05","end":"20:49","startHours":19.085912741998236,"endHours":20.810313886849144,"quality":"inauspicious"},{"name":"Śubha","start":"20:49","end":"22:32","startHours":20.810313886849144,"endHours":22.534715031700053,"quality":"auspicious"},{"name":"Roga","start":"22:32","end":"00:16","startHours":22.534715031700053,"endHours":24.25911617655096,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"01:59","startHours":24.25911617655096,"endHours":25.98351732140187,"quality":"inauspicious"},{"name":"Chala","start":"01:59","end":"03:42","startHours":25.98351732140187,"endHours":27.70791846625278,"quality":"neutral"},{"name":"Labha","start":"03:42","end":"05:26","startHours":27.70791846625278,"endHours":29.43231961110369,"quality":"auspicious"},{"name":"Amṛta","start":"05:26","end":"07:09","startHours":29.43231961110369,"endHours":31.1567207559546,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.1567207559545984,"endHours":8.156720755954598,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.156720755954598,"endHours":9.156720755954598,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.156720755954598,"endHours":10.156720755954598,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.156720755954598,"endHours":11.156720755954598,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.156720755954598,"endHours":12.156720755954598,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.156720755954598,"endHours":13.156720755954598,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.156720755954598,"endHours":14.156720755954598,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.156720755954598,"endHours":15.156720755954598,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.156720755954598,"endHours":16.1567207559546,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.1567207559546,"endHours":17.1567207559546,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.1567207559546,"endHours":18.1567207559546,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.1567207559546,"endHours":19.1567207559546,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.1567207559546,"endHours":20.1567207559546,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.1567207559546,"endHours":21.1567207559546,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.1567207559546,"endHours":22.1567207559546,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.1567207559546,"endHours":23.1567207559546,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.1567207559546,"endHours":24.1567207559546,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.1567207559546,"endHours":25.1567207559546,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.1567207559546,"endHours":26.1567207559546,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.1567207559546,"endHours":27.1567207559546,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.1567207559546,"endHours":28.1567207559546,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.1567207559546,"endHours":29.1567207559546,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.1567207559546,"endHours":30.1567207559546,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.1567207559546,"endHours":31.1567207559546,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.43584145108651,"eotMinutes":1.382629406942221,"ayanamsa":22.1344}},"calendars":{"vikram_samvat":1933,"vikram_samvatsara":"Virodhi","saka_samvat":1798,"saka_samvatsara":"Dhātṛ","bengali_samvat":1283,"malayalam_era":1052,"nanakshahi_year":407,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Ṣaṣṭhī · Vikram 1933 Virodhi · Śaka 1798 Dhātṛ"},"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":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 21, 1876 CE · Ṛṣikeśa · Vidhyamitra","description":"December 21, 1876 CE for Ṛṣikeśa: Śukla Ṣaṣṭhī, sūryodaya 07:09, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1876-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1876-12-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/1876-12-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/1876-12-21","x-default":"https://vidhyamitra.com/city/rishikesh/1876-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T07:39:25.187Z","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":"2026-06-01T07:39:25.187Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T07:39:25.187Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}