{"id":"vidhyamitra:city-day:rishikesh:2039-12-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2039-12-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-12","date_display":"December 12, 2039 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":2039,"month":12,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466134.770833,"kali_year":5141,"ahargana":1877669.2708,"sun":{"sidereal_longitude":234.9272,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":186.7403,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.8131,"elapsed_within_tithi_degrees":11.8131},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":186.7403,"elapsed_within_degrees":0.0736},"yoga":{"number":5,"name":"Śobhana","sum_longitude":61.6675},"karana":{"half_tithi_index":51,"name":"Bālava"},"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":2039,"month":12,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466134.770833,"ahargana":1877669.2708,"kali_year":5141,"ayanamsa_lahiri":24.411,"grahas":{"sun":{"sidereal_longitude":235.43967399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":184.95157399999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":3.1973},"mars":{"sidereal_longitude":84.38257399999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":221.675474,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":154.70287400000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":194.643374,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":165.481174,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":52.0461,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":232.0461,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2039,"month":12,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466134.770833,"kali_year":5141,"ahargana":1877669.2708,"sun":{"sidereal_longitude":234.9272,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":186.7403,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.8131,"elapsed_within_tithi_degrees":11.8131},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":186.7403,"elapsed_within_degrees":0.0736},"yoga":{"number":5,"name":"Śobhana","sum_longitude":61.6675},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.197,"elongation":48.187},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.197,"opposition_distance":131.813}},"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":"07:04","sunsetLocal":"17:19","solarNoonLocal":"12:11","dayLengthHours":10.24080517603293,"dayLengthDisplay":"10 Hours 14 Mins 27 Secs","nightLengthDisplay":"13 Hours 45 Mins 33 Secs","moonriseLocal":"03:13","moonsetLocal":"14:26","rahuKala":{"name":"Rāhu Kāla","start":"08:21","end":"09:38","startHours":8.3494999079691,"endHours":9.629600554973216,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:55","end":"12:11","startHours":10.909701201977333,"endHours":12.18980184898145,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:28","end":"14:45","startHours":13.469902495985565,"endHours":14.750003142989682,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:48","startHours":9.458920468706001,"endHours":9.800280641240432,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:46","startHours":7.496099476633022,"endHours":7.7691876146605665,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:32","startHours":11.848441676447017,"endHours":12.531162021515879,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:23","startHours":5.703958570827259,"endHours":6.3866789158961215,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:04","startHours":6.215998829628906,"endHours":7.069399260964984,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.896602711653603,"endHours":14.579323056722465,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.110204436997915,"endHours":17.510204436997913,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:44","startHours":17.310204436997914,"endHours":17.736904652665952,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.060204436997914,"endHours":18.810204436997914,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:32","startHours":23.848441676447017,"endHours":24.531162021515875,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:04","end":"08:21","startHours":7.069399260964984,"endHours":8.3494999079691,"quality":"auspicious"},{"name":"Kāla","start":"08:21","end":"09:38","startHours":8.3494999079691,"endHours":9.629600554973216,"quality":"inauspicious"},{"name":"Śubha","start":"09:38","end":"10:55","startHours":9.629600554973216,"endHours":10.909701201977333,"quality":"auspicious"},{"name":"Roga","start":"10:55","end":"12:11","startHours":10.909701201977333,"endHours":12.18980184898145,"quality":"inauspicious"},{"name":"Udveg","start":"12:11","end":"13:28","startHours":12.18980184898145,"endHours":13.469902495985565,"quality":"inauspicious"},{"name":"Chala","start":"13:28","end":"14:45","startHours":13.469902495985565,"endHours":14.750003142989682,"quality":"neutral"},{"name":"Labha","start":"14:45","end":"16:02","startHours":14.750003142989682,"endHours":16.030103789993795,"quality":"auspicious"},{"name":"Amṛta","start":"16:02","end":"17:19","startHours":16.030103789993795,"endHours":17.310204436997914,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:19","end":"19:02","startHours":17.310204436997914,"endHours":19.0301037899938,"quality":"neutral"},{"name":"Labha","start":"19:02","end":"20:45","startHours":19.0301037899938,"endHours":20.75000314298968,"quality":"auspicious"},{"name":"Amṛta","start":"20:45","end":"22:28","startHours":20.75000314298968,"endHours":22.469902495985565,"quality":"auspicious"},{"name":"Kāla","start":"22:28","end":"00:11","startHours":22.469902495985565,"endHours":24.18980184898145,"quality":"inauspicious"},{"name":"Śubha","start":"00:11","end":"01:55","startHours":24.18980184898145,"endHours":25.909701201977335,"quality":"auspicious"},{"name":"Roga","start":"01:55","end":"03:38","startHours":25.909701201977335,"endHours":27.629600554973216,"quality":"inauspicious"},{"name":"Udveg","start":"03:38","end":"05:21","startHours":27.629600554973216,"endHours":29.3494999079691,"quality":"inauspicious"},{"name":"Chala","start":"05:21","end":"07:04","startHours":29.3494999079691,"endHours":31.069399260964985,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:04","end":"08:04","startHours":7.069399260964984,"endHours":8.069399260964984,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:04","end":"09:04","startHours":8.069399260964984,"endHours":9.069399260964984,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:04","end":"10:04","startHours":9.069399260964984,"endHours":10.069399260964984,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:04","end":"11:04","startHours":10.069399260964984,"endHours":11.069399260964984,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:04","end":"12:04","startHours":11.069399260964984,"endHours":12.069399260964984,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:04","end":"13:04","startHours":12.069399260964984,"endHours":13.069399260964984,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:04","end":"14:04","startHours":13.069399260964984,"endHours":14.069399260964984,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:04","end":"15:04","startHours":14.069399260964984,"endHours":15.069399260964984,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:04","end":"16:04","startHours":15.069399260964984,"endHours":16.069399260964985,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:04","end":"17:04","startHours":16.069399260964985,"endHours":17.069399260964985,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:04","end":"18:04","startHours":17.069399260964985,"endHours":18.069399260964985,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:04","end":"19:04","startHours":18.069399260964985,"endHours":19.069399260964985,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:04","end":"20:04","startHours":19.069399260964985,"endHours":20.069399260964985,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:04","end":"21:04","startHours":20.069399260964985,"endHours":21.069399260964985,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:04","end":"22:04","startHours":21.069399260964985,"endHours":22.069399260964985,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:04","end":"23:04","startHours":22.069399260964985,"endHours":23.069399260964985,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:04","end":"00:04","startHours":23.069399260964985,"endHours":24.069399260964985,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:04","end":"01:04","startHours":24.069399260964985,"endHours":25.069399260964985,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:04","end":"02:04","startHours":25.069399260964985,"endHours":26.069399260964985,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:04","end":"03:04","startHours":26.069399260964985,"endHours":27.069399260964985,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:04","end":"04:04","startHours":27.069399260964985,"endHours":28.069399260964985,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:04","end":"05:04","startHours":28.069399260964985,"endHours":29.069399260964985,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:04","end":"06:04","startHours":29.069399260964985,"endHours":30.069399260964985,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:04","end":"07:04","startHours":30.069399260964985,"endHours":31.069399260964985,"planetary_lord":"Venus"}],"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":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.04840653845062,"eotMinutes":5.541489061113115,"ayanamsa":24.411}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","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 Kṛṣṇa Ekādaśī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[{"id":"saphala-ekadashi","name":"Saphalā Ekādaśī","name_sanskrit":"सफला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Renders all undertakings fruitful (saphala).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":4},{"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":"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 12, 2039 CE · Ṛṣikeśa · Vidhyamitra","description":"December 12, 2039 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 07:04, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2039-12-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2039-12-12","sa":"https://sa.vidhyamitra.com/city/rishikesh/2039-12-12","hi":"https://hi.vidhyamitra.com/city/rishikesh/2039-12-12","x-default":"https://vidhyamitra.com/city/rishikesh/2039-12-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T11:56:11.403Z","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":"2026-06-01T11:56:11.403Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T11:56:11.403Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}