{"id":"vidhyamitra:city-day:rishikesh:1976-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1976-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1976-12-21","date_display":"December 21, 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1976,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2443133.770833,"kali_year":5078,"ahargana":1854668.2708,"sun":{"sidereal_longitude":245.4986,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":246.1366,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.638,"elapsed_within_tithi_degrees":0.638},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":246.1366,"elapsed_within_degrees":6.1366},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.6351},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":1976,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2443133.770833,"ahargana":1854668.2708,"kali_year":5078,"ayanamsa_lahiri":23.5313,"grahas":{"sun":{"sidereal_longitude":245.77298100000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":245.095281,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":3.7023},"mars":{"sidereal_longitude":238.64048100000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":266.30968099999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":28.59678100000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":290.267381,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":112.88318100000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":190.7497,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":10.7497,"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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1976,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2443133.770833,"kali_year":5078,"ahargana":1854668.2708,"sun":{"sidereal_longitude":245.4986,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":246.1366,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.638,"elapsed_within_tithi_degrees":0.638},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":246.1366,"elapsed_within_degrees":6.1366},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.6351},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.702,"elongation":0.638},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.702,"opposition_distance":179.362}},"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":10.204900196418695,"dayLengthDisplay":"10 Hours 12 Mins 18 Secs","nightLengthDisplay":"13 Hours 47 Mins 42 Secs","moonriseLocal":"07:08","moonsetLocal":"17:18","rahuKala":{"name":"Rāhu Kāla","start":"14:49","end":"16:05","startHours":14.810341225655637,"endHours":16.085953750207974,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:42","end":"10:59","startHours":9.70789112744629,"endHours":10.983503651998626,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:32","startHours":12.259116176550965,"endHours":13.534728701103301,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:53","startHours":9.537809457505979,"endHours":9.877972797386601,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:51","startHours":7.581870253192395,"endHours":7.854000925096894,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:36","startHours":11.91895283667034,"endHours":12.599279516431587,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:48","end":"06:29","startHours":5.7960127188191235,"endHours":6.47633939858037,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:09","startHours":6.306257728640058,"endHours":7.156666078341616,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:38","startHours":13.95993287595408,"endHours":14.640259555715325,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.16156627476031,"endHours":17.56156627476031,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:47","startHours":17.36156627476031,"endHours":17.78677044961109,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.11156627476031,"endHours":18.86156627476031,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:36","startHours":23.91895283667034,"endHours":24.599279516431583,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:09","end":"08:26","startHours":7.156666078341616,"endHours":8.432278602893954,"quality":"inauspicious"},{"name":"Udveg","start":"08:26","end":"09:42","startHours":8.432278602893954,"endHours":9.70789112744629,"quality":"inauspicious"},{"name":"Chala","start":"09:42","end":"10:59","startHours":9.70789112744629,"endHours":10.983503651998626,"quality":"neutral"},{"name":"Labha","start":"10:59","end":"12:16","startHours":10.983503651998626,"endHours":12.259116176550965,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:32","startHours":12.259116176550965,"endHours":13.534728701103301,"quality":"auspicious"},{"name":"Kāla","start":"13:32","end":"14:49","startHours":13.534728701103301,"endHours":14.810341225655637,"quality":"inauspicious"},{"name":"Śubha","start":"14:49","end":"16:05","startHours":14.810341225655637,"endHours":16.085953750207974,"quality":"auspicious"},{"name":"Roga","start":"16:05","end":"17:22","startHours":16.085953750207974,"endHours":17.36156627476031,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:22","end":"19:05","startHours":17.36156627476031,"endHours":19.085953750207974,"quality":"inauspicious"},{"name":"Śubha","start":"19:05","end":"20:49","startHours":19.085953750207974,"endHours":20.810341225655637,"quality":"auspicious"},{"name":"Roga","start":"20:49","end":"22:32","startHours":20.810341225655637,"endHours":22.534728701103298,"quality":"inauspicious"},{"name":"Udveg","start":"22:32","end":"00:16","startHours":22.534728701103298,"endHours":24.25911617655096,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:59","startHours":24.25911617655096,"endHours":25.983503651998625,"quality":"neutral"},{"name":"Labha","start":"01:59","end":"03:42","startHours":25.983503651998625,"endHours":27.70789112744629,"quality":"auspicious"},{"name":"Amṛta","start":"03:42","end":"05:26","startHours":27.70789112744629,"endHours":29.432278602893952,"quality":"auspicious"},{"name":"Kāla","start":"05:26","end":"07:09","startHours":29.432278602893952,"endHours":31.156666078341615,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.156666078341616,"endHours":8.156666078341615,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.156666078341615,"endHours":9.156666078341615,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.156666078341615,"endHours":10.156666078341615,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.156666078341615,"endHours":11.156666078341615,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.156666078341615,"endHours":12.156666078341615,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.156666078341615,"endHours":13.156666078341615,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.156666078341615,"endHours":14.156666078341615,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.156666078341615,"endHours":15.156666078341615,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.156666078341615,"endHours":16.156666078341615,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.156666078341615,"endHours":17.156666078341615,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.156666078341615,"endHours":18.156666078341615,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.156666078341615,"endHours":19.156666078341615,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.156666078341615,"endHours":20.156666078341615,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.156666078341615,"endHours":21.156666078341615,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.156666078341615,"endHours":22.156666078341615,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.156666078341615,"endHours":23.156666078341615,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.156666078341615,"endHours":24.156666078341615,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.156666078341615,"endHours":25.156666078341615,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.156666078341615,"endHours":26.156666078341615,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.156666078341615,"endHours":27.156666078341615,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.156666078341615,"endHours":28.156666078341615,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.156666078341615,"endHours":29.156666078341615,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.156666078341615,"endHours":30.156666078341615,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.156666078341615,"endHours":31.156666078341615,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Sushira","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":-23.434668988636243,"eotMinutes":1.382629406942221,"ayanamsa":23.5313}},"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 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 Pratipada · Vikram 2033 Śukla · Śaka 1898 Nala"},"festivals":[],"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":"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, 1976 CE · Ṛṣikeśa · Vidhyamitra","description":"December 21, 1976 CE for Ṛṣikeśa: Śukla Pratipada, sūryodaya 07:09, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1976-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1976-12-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/1976-12-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/1976-12-21","x-default":"https://vidhyamitra.com/city/rishikesh/1976-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T06:08:02.501Z","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":"2026-09-06T06:08:02.501Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T06:08:02.501Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}