{"id":"vidhyamitra:city-day:rishikesh:1867-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1867-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1867-12-21","date_display":"December 21, 1867 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":1867,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2403321.770833,"kali_year":4969,"ahargana":1814856.2708,"sun":{"sidereal_longitude":246.7359,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":189.2249,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.489,"elapsed_within_tithi_degrees":2.489},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.2249,"elapsed_within_degrees":2.5582},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.9608},"karana":{"half_tithi_index":50,"name":"Bava"},"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":1867,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2403321.770833,"ahargana":1814856.2708,"kali_year":4969,"ayanamsa_lahiri":22.0086,"grahas":{"sun":{"sidereal_longitude":246.74289199999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":191.32789200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":3.3969},"mars":{"sidereal_longitude":251.66659200000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":230.24629200000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":313.03059199999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":269.98269200000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":219.29239200000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":140.1811,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.1811,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":1867,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2403321.770833,"kali_year":4969,"ahargana":1814856.2708,"sun":{"sidereal_longitude":246.7359,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":189.2249,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.489,"elapsed_within_tithi_degrees":2.489},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.2249,"elapsed_within_degrees":2.5582},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.9608},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.397,"elongation":57.511},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.397,"opposition_distance":122.489}},"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":10.205279357195575,"dayLengthDisplay":"10 Hours 12 Mins 19 Secs","nightLengthDisplay":"13 Hours 47 Mins 41 Secs","moonriseLocal":"03:01","moonsetLocal":"14:07","rahuKala":{"name":"Rāhu Kāla","start":"09:42","end":"10:59","startHours":9.70779633725207,"endHours":10.983456256901517,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:32","end":"14:49","startHours":13.53477609620041,"endHours":14.810436015849858,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:09","end":"08:26","startHours":7.156476497953176,"endHours":8.432136417602623,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:53","startHours":9.537708347965477,"endHours":9.877884326538663,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:51","startHours":7.581696471169659,"endHours":7.853837254028208,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:36","startHours":11.918940197977777,"endHours":12.599292155124148,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:48","end":"06:29","startHours":5.795772583660433,"endHours":6.476124540806804,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:09","startHours":6.3060365515202115,"endHours":7.156476497953176,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:38","startHours":13.959996069416892,"endHours":14.640348026563263,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.16175585514875,"endHours":17.56175585514875,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:47","startHours":17.36175585514875,"endHours":17.786975828365232,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.11175585514875,"endHours":18.86175585514875,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:36","startHours":23.918940197977776,"endHours":24.599292155124147,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:09","end":"08:26","startHours":7.156476497953176,"endHours":8.432136417602623,"quality":"inauspicious"},{"name":"Śubha","start":"08:26","end":"09:42","startHours":8.432136417602623,"endHours":9.70779633725207,"quality":"auspicious"},{"name":"Roga","start":"09:42","end":"10:59","startHours":9.70779633725207,"endHours":10.983456256901517,"quality":"inauspicious"},{"name":"Udveg","start":"10:59","end":"12:16","startHours":10.983456256901517,"endHours":12.259116176550965,"quality":"inauspicious"},{"name":"Chala","start":"12:16","end":"13:32","startHours":12.259116176550965,"endHours":13.53477609620041,"quality":"neutral"},{"name":"Labha","start":"13:32","end":"14:49","startHours":13.53477609620041,"endHours":14.810436015849858,"quality":"auspicious"},{"name":"Amṛta","start":"14:49","end":"16:05","startHours":14.810436015849858,"endHours":16.086095935499305,"quality":"auspicious"},{"name":"Kāla","start":"16:05","end":"17:22","startHours":16.086095935499305,"endHours":17.36175585514875,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:22","end":"19:05","startHours":17.36175585514875,"endHours":19.086095935499305,"quality":"auspicious"},{"name":"Amṛta","start":"19:05","end":"20:49","startHours":19.086095935499305,"endHours":20.810436015849856,"quality":"auspicious"},{"name":"Kāla","start":"20:49","end":"22:32","startHours":20.810436015849856,"endHours":22.53477609620041,"quality":"inauspicious"},{"name":"Śubha","start":"22:32","end":"00:16","startHours":22.53477609620041,"endHours":24.25911617655096,"quality":"auspicious"},{"name":"Roga","start":"00:16","end":"01:59","startHours":24.25911617655096,"endHours":25.983456256901516,"quality":"inauspicious"},{"name":"Udveg","start":"01:59","end":"03:42","startHours":25.983456256901516,"endHours":27.70779633725207,"quality":"inauspicious"},{"name":"Chala","start":"03:42","end":"05:26","startHours":27.70779633725207,"endHours":29.43213641760262,"quality":"neutral"},{"name":"Labha","start":"05:26","end":"07:09","startHours":29.43213641760262,"endHours":31.156476497953175,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.156476497953176,"endHours":8.156476497953175,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.156476497953175,"endHours":9.156476497953175,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.156476497953175,"endHours":10.156476497953175,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.156476497953175,"endHours":11.156476497953175,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.156476497953175,"endHours":12.156476497953175,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.156476497953175,"endHours":13.156476497953175,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.156476497953175,"endHours":14.156476497953175,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.156476497953175,"endHours":15.156476497953175,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.156476497953175,"endHours":16.156476497953175,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.156476497953175,"endHours":17.156476497953175,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.156476497953175,"endHours":18.156476497953175,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.156476497953175,"endHours":19.156476497953175,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.156476497953175,"endHours":20.156476497953175,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.156476497953175,"endHours":21.156476497953175,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.156476497953175,"endHours":22.156476497953175,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.156476497953175,"endHours":23.156476497953175,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.156476497953175,"endHours":24.156476497953175,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.156476497953175,"endHours":25.156476497953175,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.156476497953175,"endHours":26.156476497953175,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.156476497953175,"endHours":27.156476497953175,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.156476497953175,"endHours":28.156476497953175,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.156476497953175,"endHours":29.156476497953175,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.156476497953175,"endHours":30.156476497953175,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.156476497953175,"endHours":31.156476497953175,"planetary_lord":"Mercury"}],"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Chatra","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":-23.43060359312812,"eotMinutes":1.382629406942221,"ayanamsa":22.0086}},"calendars":{"vikram_samvat":1924,"vikram_samvatsara":"Vikrama","saka_samvat":1789,"saka_samvatsara":"Prabhava","bengali_samvat":1274,"malayalam_era":1043,"nanakshahi_year":398,"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 Ekādaśī · Vikram 1924 Vikrama · Śaka 1789 Prabhava"},"festivals":[{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"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":"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, 1867 CE · Ṛṣikeśa · Vidhyamitra","description":"December 21, 1867 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 07:09, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1867-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1867-12-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/1867-12-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/1867-12-21","x-default":"https://vidhyamitra.com/city/rishikesh/1867-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T16:37:53.953Z","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":"2026-06-01T16:37:53.953Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T16:37:53.953Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}