{"id":"vidhyamitra:city-day:rishikesh:1976-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1976-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1976-12-16","date_display":"December 16, 1976 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":1976,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2443128.770833,"kali_year":5078,"ahargana":1854663.2708,"sun":{"sidereal_longitude":240.3646,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":174.1064,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.7418,"elapsed_within_tithi_degrees":5.7418},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":174.1064,"elapsed_within_degrees":0.7731},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.471},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":1976,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2443128.770833,"ahargana":1854663.2708,"kali_year":5078,"ayanamsa_lahiri":23.5311,"grahas":{"sun":{"sidereal_longitude":240.682772,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":171.49677199999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-1.3075},"mars":{"sidereal_longitude":234.95367199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":260.553772,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":29.050171999999975,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":284.4471719999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":113.07017200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":191.0146,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":11.0146,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":1976,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2443128.770833,"kali_year":5078,"ahargana":1854663.2708,"sun":{"sidereal_longitude":240.3646,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":174.1064,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.7418,"elapsed_within_tithi_degrees":5.7418},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":174.1064,"elapsed_within_degrees":0.7731},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.471},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.308,"elongation":66.258},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.308,"opposition_distance":113.742}},"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":"07:07","sunsetLocal":"17:20","solarNoonLocal":"12:13","dayLengthHours":10.216513601176878,"dayLengthDisplay":"10 Hours 12 Mins 59 Secs","nightLengthDisplay":"13 Hours 47 Mins 01 Secs","moonriseLocal":"01:48","moonsetLocal":"13:25","rahuKala":{"name":"Rāhu Kāla","start":"13:30","end":"14:46","startHours":13.4972755863609,"endHours":14.774339786508008,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:07","end":"08:23","startHours":7.111954585625351,"endHours":8.38901878577246,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:40","end":"10:57","startHours":9.66608298591957,"endHours":10.94314718606668,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:50","startHours":9.495807759233289,"endHours":9.836358212605852,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.537642652341054,"endHours":7.810083015039104,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:34","startHours":11.879660932841228,"endHours":12.560761839586354,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:26","startHours":5.7497527721351,"endHours":6.430853678880226,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:07","startHours":6.260578452193944,"endHours":7.111954585625351,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:36","startHours":13.922963653076604,"endHours":14.60406455982173,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.12846818680223,"endHours":17.52846818680223,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:45","startHours":17.32846818680223,"endHours":17.754156253517934,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.07846818680223,"endHours":18.82846818680223,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:34","startHours":23.87966093284123,"endHours":24.560761839586352,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:07","end":"08:23","startHours":7.111954585625351,"endHours":8.38901878577246,"quality":"auspicious"},{"name":"Roga","start":"08:23","end":"09:40","startHours":8.38901878577246,"endHours":9.66608298591957,"quality":"inauspicious"},{"name":"Udveg","start":"09:40","end":"10:57","startHours":9.66608298591957,"endHours":10.94314718606668,"quality":"inauspicious"},{"name":"Chala","start":"10:57","end":"12:13","startHours":10.94314718606668,"endHours":12.22021138621379,"quality":"neutral"},{"name":"Labha","start":"12:13","end":"13:30","startHours":12.22021138621379,"endHours":13.4972755863609,"quality":"auspicious"},{"name":"Amṛta","start":"13:30","end":"14:46","startHours":13.4972755863609,"endHours":14.774339786508008,"quality":"auspicious"},{"name":"Kāla","start":"14:46","end":"16:03","startHours":14.774339786508008,"endHours":16.05140398665512,"quality":"inauspicious"},{"name":"Śubha","start":"16:03","end":"17:20","startHours":16.05140398665512,"endHours":17.32846818680223,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:20","end":"19:03","startHours":17.32846818680223,"endHours":19.05140398665512,"quality":"auspicious"},{"name":"Kāla","start":"19:03","end":"20:46","startHours":19.05140398665512,"endHours":20.77433978650801,"quality":"inauspicious"},{"name":"Śubha","start":"20:46","end":"22:30","startHours":20.77433978650801,"endHours":22.4972755863609,"quality":"auspicious"},{"name":"Roga","start":"22:30","end":"00:13","startHours":22.4972755863609,"endHours":24.22021138621379,"quality":"inauspicious"},{"name":"Udveg","start":"00:13","end":"01:57","startHours":24.22021138621379,"endHours":25.943147186066682,"quality":"inauspicious"},{"name":"Chala","start":"01:57","end":"03:40","startHours":25.943147186066682,"endHours":27.666082985919573,"quality":"neutral"},{"name":"Labha","start":"03:40","end":"05:23","startHours":27.666082985919573,"endHours":29.38901878577246,"quality":"auspicious"},{"name":"Amṛta","start":"05:23","end":"07:07","startHours":29.38901878577246,"endHours":31.11195458562535,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.111954585625351,"endHours":8.111954585625352,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.111954585625352,"endHours":9.111954585625352,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.111954585625352,"endHours":10.111954585625352,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.111954585625352,"endHours":11.111954585625352,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.111954585625352,"endHours":12.111954585625352,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.111954585625352,"endHours":13.111954585625352,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.111954585625352,"endHours":14.111954585625352,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.111954585625352,"endHours":15.111954585625352,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.111954585625352,"endHours":16.11195458562535,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.11195458562535,"endHours":17.11195458562535,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.11195458562535,"endHours":18.11195458562535,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.11195458562535,"endHours":19.11195458562535,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.11195458562535,"endHours":20.11195458562535,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.11195458562535,"endHours":21.11195458562535,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.11195458562535,"endHours":22.11195458562535,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.11195458562535,"endHours":23.11195458562535,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.11195458562535,"endHours":24.11195458562535,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.11195458562535,"endHours":25.11195458562535,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.11195458562535,"endHours":26.11195458562535,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.11195458562535,"endHours":27.11195458562535,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.11195458562535,"endHours":28.11195458562535,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.11195458562535,"endHours":29.11195458562535,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.11195458562535,"endHours":30.11195458562535,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.11195458562535,"endHours":31.11195458562535,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Kāladaṇḍa","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":-23.310017276560366,"eotMinutes":3.716916827172506,"ayanamsa":23.5311}},"calendars":{"vikram_samvat":2033,"vikram_samvatsara":"Śukla","saka_samvat":1898,"saka_samvatsara":"Nala","bengali_samvat":1383,"malayalam_era":1152,"nanakshahi_year":507,"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 Daśamī · Vikram 2033 Śukla · Śaka 1898 Nala"},"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 16, 1976 CE · Ṛṣikeśa · Vidhyamitra","description":"December 16, 1976 CE for Ṛṣikeśa: Kṛṣṇa Daśamī, sūryodaya 07:07, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1976-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1976-12-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/1976-12-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/1976-12-16","x-default":"https://vidhyamitra.com/city/rishikesh/1976-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:28:54.502Z","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":"2026-05-31T15:28:54.502Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:28:54.502Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}