{"id":"vidhyamitra:city-day:rishikesh:1969-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1969-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1969-12-16","date_display":"December 16, 1969 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":1969,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440571.770833,"kali_year":5071,"ahargana":1852106.2708,"sun":{"sidereal_longitude":240.171,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":327.2209,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":87.0499,"elapsed_within_tithi_degrees":3.0499},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":327.2209,"elapsed_within_degrees":7.2209},"yoga":{"number":16,"name":"Siddhi","sum_longitude":207.3918},"karana":{"half_tithi_index":14,"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":1969,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2440571.770833,"ahargana":1852106.2708,"kali_year":5071,"ayanamsa_lahiri":23.4333,"grahas":{"sun":{"sidereal_longitude":240.474468,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":330.375368,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":0.0568},"mars":{"sidereal_longitude":307.356668,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":256.93796799999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":187.14376800000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":231.37566800000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":9.448868000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":326.4968,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":146.4968,"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":1969,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440571.770833,"kali_year":5071,"ahargana":1852106.2708,"sun":{"sidereal_longitude":240.171,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":327.2209,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":87.0499,"elapsed_within_tithi_degrees":3.0499},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":327.2209,"elapsed_within_degrees":7.2209},"yoga":{"number":16,"name":"Siddhi","sum_longitude":207.3918},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.057,"elongation":87.05},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.057,"opposition_distance":92.95}},"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":10.217789973068307,"dayLengthDisplay":"10 Hours 13 Mins 04 Secs","nightLengthDisplay":"13 Hours 46 Mins 56 Secs","moonriseLocal":"12:16","moonsetLocal":"00:10","rahuKala":{"name":"Rāhu Kāla","start":"14:46","end":"16:03","startHours":14.774658879480867,"endHours":16.051882626114406,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:40","end":"10:57","startHours":9.665763892946714,"endHours":10.942987639580252,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:30","startHours":12.22021138621379,"endHours":13.497435132847329,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:50","startHours":9.495467393395575,"endHours":9.836060392497853,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.537057648557484,"endHours":7.809532047839306,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:34","startHours":11.879618387111513,"endHours":12.560804385316068,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:26","startHours":5.748944403270531,"endHours":6.430130401475084,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:07","startHours":6.259833901923946,"endHours":7.111316399679638,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:36","startHours":13.923176381725176,"endHours":14.604362379929729,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.129106372747945,"endHours":17.529106372747943,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:45","startHours":17.329106372747944,"endHours":17.75484762162579,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.079106372747944,"endHours":18.829106372747944,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:34","startHours":23.879618387111513,"endHours":24.560804385316068,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:07","end":"08:23","startHours":7.111316399679638,"endHours":8.388540146313176,"quality":"inauspicious"},{"name":"Udveg","start":"08:23","end":"09:40","startHours":8.388540146313176,"endHours":9.665763892946714,"quality":"inauspicious"},{"name":"Chala","start":"09:40","end":"10:57","startHours":9.665763892946714,"endHours":10.942987639580252,"quality":"neutral"},{"name":"Labha","start":"10:57","end":"12:13","startHours":10.942987639580252,"endHours":12.22021138621379,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:30","startHours":12.22021138621379,"endHours":13.497435132847329,"quality":"auspicious"},{"name":"Kāla","start":"13:30","end":"14:46","startHours":13.497435132847329,"endHours":14.774658879480867,"quality":"inauspicious"},{"name":"Śubha","start":"14:46","end":"16:03","startHours":14.774658879480867,"endHours":16.051882626114406,"quality":"auspicious"},{"name":"Roga","start":"16:03","end":"17:20","startHours":16.051882626114406,"endHours":17.329106372747944,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:20","end":"19:03","startHours":17.329106372747944,"endHours":19.051882626114406,"quality":"inauspicious"},{"name":"Śubha","start":"19:03","end":"20:46","startHours":19.051882626114406,"endHours":20.774658879480867,"quality":"auspicious"},{"name":"Roga","start":"20:46","end":"22:30","startHours":20.774658879480867,"endHours":22.49743513284733,"quality":"inauspicious"},{"name":"Udveg","start":"22:30","end":"00:13","startHours":22.49743513284733,"endHours":24.22021138621379,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:57","startHours":24.22021138621379,"endHours":25.942987639580252,"quality":"neutral"},{"name":"Labha","start":"01:57","end":"03:40","startHours":25.942987639580252,"endHours":27.665763892946714,"quality":"auspicious"},{"name":"Amṛta","start":"03:40","end":"05:23","startHours":27.665763892946714,"endHours":29.388540146313176,"quality":"auspicious"},{"name":"Kāla","start":"05:23","end":"07:07","startHours":29.388540146313176,"endHours":31.111316399679637,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.111316399679638,"endHours":8.111316399679637,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.111316399679637,"endHours":9.111316399679637,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.111316399679637,"endHours":10.111316399679637,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.111316399679637,"endHours":11.111316399679637,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.111316399679637,"endHours":12.111316399679637,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.111316399679637,"endHours":13.111316399679637,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.111316399679637,"endHours":14.111316399679637,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.111316399679637,"endHours":15.111316399679637,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.111316399679637,"endHours":16.111316399679637,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.111316399679637,"endHours":17.111316399679637,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.111316399679637,"endHours":18.111316399679637,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.111316399679637,"endHours":19.111316399679637,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.111316399679637,"endHours":20.111316399679637,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.111316399679637,"endHours":21.111316399679637,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.111316399679637,"endHours":22.111316399679637,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.111316399679637,"endHours":23.111316399679637,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.111316399679637,"endHours":24.111316399679637,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.111316399679637,"endHours":25.111316399679637,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.111316399679637,"endHours":26.111316399679637,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.111316399679637,"endHours":27.111316399679637,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.111316399679637,"endHours":28.111316399679637,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.111316399679637,"endHours":29.111316399679637,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.111316399679637,"endHours":30.111316399679637,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.111316399679637,"endHours":31.111316399679637,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Saumya","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":-23.296300822351682,"eotMinutes":3.716916827172506,"ayanamsa":23.4333}},"calendars":{"vikram_samvat":2026,"vikram_samvatsara":"Dundubhi","saka_samvat":1891,"saka_samvatsara":"Saumya","bengali_samvat":1376,"malayalam_era":1145,"nanakshahi_year":500,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Aṣṭamī · Vikram 2026 Dundubhi · Śaka 1891 Saumya"},"festivals":[{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi_ingress":"Dhanu"},"precedence":5}],"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":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"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, 1969 CE · Ṛṣikeśa · Vidhyamitra","description":"December 16, 1969 CE for Ṛṣikeśa: Śukla Aṣṭamī, sūryodaya 07:07, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1969-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1969-12-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/1969-12-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/1969-12-16","x-default":"https://vidhyamitra.com/city/rishikesh/1969-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:41:00.041Z","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":"2026-06-01T20:41:00.041Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:41:00.041Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}