{"id":"vidhyamitra:city-day:rishikesh:1975-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1975-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1975-12-15","date_display":"December 15, 1975 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":1975,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2442761.770833,"kali_year":5077,"ahargana":1854296.2708,"sun":{"sidereal_longitude":238.578,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":16.0552,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":137.4772,"elapsed_within_tithi_degrees":5.4772},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":16.0552,"elapsed_within_degrees":2.7219},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.6332},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1975,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2442761.770833,"ahargana":1854296.2708,"kali_year":5077,"ayanamsa_lahiri":23.5171,"grahas":{"sun":{"sidereal_longitude":238.90909399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":17.24519399999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":1.1184},"mars":{"sidereal_longitude":59.98379399999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":248.22069399999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":351.245694,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":196.10139400000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":98.73619400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":210.4601,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.4601,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"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":1975,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2442761.770833,"kali_year":5077,"ahargana":1854296.2708,"sun":{"sidereal_longitude":238.578,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":16.0552,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":137.4772,"elapsed_within_tithi_degrees":5.4772},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":16.0552,"elapsed_within_degrees":2.7219},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.6332},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.118,"elongation":137.477},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.118,"opposition_distance":42.523}},"eclipse_window_40days":[{"offset_days":-12,"type":"solar","occurs":true,"moon_latitude":1.316,"elongation":1.826}]},"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":"07:06","sunsetLocal":"17:19","solarNoonLocal":"12:13","dayLengthHours":10.22488520569675,"dayLengthDisplay":"10 Hours 13 Mins 30 Secs","nightLengthDisplay":"13 Hours 46 Mins 30 Secs","moonriseLocal":"14:47","moonsetLocal":"04:05","rahuKala":{"name":"Rāhu Kāla","start":"08:23","end":"09:39","startHours":8.378195797304183,"endHours":9.656306448016277,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:56","end":"12:13","startHours":10.934417098728371,"endHours":12.212527749440465,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:29","end":"14:46","startHours":13.490638400152559,"endHours":14.768749050864653,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:50","startHours":9.485891694587998,"endHours":9.826721201444558,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:48","startHours":7.526122030162789,"endHours":7.798785635648035,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:33","startHours":11.871698242583907,"endHours":12.553357256297023,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:25","startHours":5.736767119165857,"endHours":6.418426132878974,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:06","startHours":6.248011379450695,"endHours":7.1000851465920904,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:36","startHours":13.916675283723258,"endHours":14.598334297436375,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.12497035228884,"endHours":17.52497035228884,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.32497035228884,"endHours":17.75100723585954,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.07497035228884,"endHours":18.82497035228884,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:33","startHours":23.871698242583907,"endHours":24.553357256297023,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:06","end":"08:23","startHours":7.1000851465920904,"endHours":8.378195797304183,"quality":"auspicious"},{"name":"Kāla","start":"08:23","end":"09:39","startHours":8.378195797304183,"endHours":9.656306448016277,"quality":"inauspicious"},{"name":"Śubha","start":"09:39","end":"10:56","startHours":9.656306448016277,"endHours":10.934417098728371,"quality":"auspicious"},{"name":"Roga","start":"10:56","end":"12:13","startHours":10.934417098728371,"endHours":12.212527749440465,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:29","startHours":12.212527749440465,"endHours":13.490638400152559,"quality":"inauspicious"},{"name":"Chala","start":"13:29","end":"14:46","startHours":13.490638400152559,"endHours":14.768749050864653,"quality":"neutral"},{"name":"Labha","start":"14:46","end":"16:03","startHours":14.768749050864653,"endHours":16.046859701576746,"quality":"auspicious"},{"name":"Amṛta","start":"16:03","end":"17:19","startHours":16.046859701576746,"endHours":17.32497035228884,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:19","end":"19:03","startHours":17.32497035228884,"endHours":19.046859701576746,"quality":"neutral"},{"name":"Labha","start":"19:03","end":"20:46","startHours":19.046859701576746,"endHours":20.768749050864653,"quality":"auspicious"},{"name":"Amṛta","start":"20:46","end":"22:29","startHours":20.768749050864653,"endHours":22.49063840015256,"quality":"auspicious"},{"name":"Kāla","start":"22:29","end":"00:13","startHours":22.49063840015256,"endHours":24.212527749440465,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:56","startHours":24.212527749440465,"endHours":25.93441709872837,"quality":"auspicious"},{"name":"Roga","start":"01:56","end":"03:39","startHours":25.93441709872837,"endHours":27.656306448016277,"quality":"inauspicious"},{"name":"Udveg","start":"03:39","end":"05:23","startHours":27.656306448016277,"endHours":29.378195797304183,"quality":"inauspicious"},{"name":"Chala","start":"05:23","end":"07:06","startHours":29.378195797304183,"endHours":31.10008514659209,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.1000851465920904,"endHours":8.10008514659209,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.10008514659209,"endHours":9.10008514659209,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.10008514659209,"endHours":10.10008514659209,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.10008514659209,"endHours":11.10008514659209,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.10008514659209,"endHours":12.10008514659209,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.10008514659209,"endHours":13.10008514659209,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.10008514659209,"endHours":14.10008514659209,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.10008514659209,"endHours":15.10008514659209,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.10008514659209,"endHours":16.10008514659209,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.10008514659209,"endHours":17.10008514659209,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.10008514659209,"endHours":18.10008514659209,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.10008514659209,"endHours":19.10008514659209,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.10008514659209,"endHours":20.10008514659209,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.10008514659209,"endHours":21.10008514659209,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.10008514659209,"endHours":22.10008514659209,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.10008514659209,"endHours":23.10008514659209,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.10008514659209,"endHours":24.10008514659209,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.10008514659209,"endHours":25.10008514659209,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.10008514659209,"endHours":26.10008514659209,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.10008514659209,"endHours":27.10008514659209,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.10008514659209,"endHours":28.10008514659209,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.10008514659209,"endHours":29.10008514659209,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.10008514659209,"endHours":30.10008514659209,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.10008514659209,"endHours":31.10008514659209,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.219992472792896,"eotMinutes":4.177935033572184,"ayanamsa":23.5171}},"calendars":{"vikram_samvat":2032,"vikram_samvatsara":"Vibhava","saka_samvat":1897,"saka_samvatsara":"Rākṣasa","bengali_samvat":1382,"malayalam_era":1151,"nanakshahi_year":506,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvādaśī · Vikram 2032 Vibhava · Śaka 1897 Rākṣasa"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 15, 1975 CE · Ṛṣikeśa · Vidhyamitra","description":"December 15, 1975 CE for Ṛṣikeśa: Śukla Dvādaśī, sūryodaya 07:06, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1975-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1975-12-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/1975-12-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/1975-12-15","x-default":"https://vidhyamitra.com/city/rishikesh/1975-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T06:49:36.135Z","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":"2026-06-01T06:49:36.135Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T06:49:36.135Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}