{"id":"vidhyamitra:city-day:rishikesh:2039-12-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2039-12-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-19","date_display":"December 19, 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":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466141.770833,"kali_year":5141,"ahargana":1877676.2708,"sun":{"sidereal_longitude":242.1079,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":286.4704,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.3625,"elapsed_within_tithi_degrees":8.3625},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":286.4704,"elapsed_within_degrees":6.4704},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.5783},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466141.770833,"ahargana":1877676.2708,"kali_year":5141,"ayanamsa_lahiri":24.4113,"grahas":{"sun":{"sidereal_longitude":242.56000599999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":289.562006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":-3.6757},"mars":{"sidereal_longitude":82.31640600000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":232.4398060000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":155.37470600000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":203.05150600000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":165.91790600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":51.6752,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.6752,"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":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466141.770833,"kali_year":5141,"ahargana":1877676.2708,"sun":{"sidereal_longitude":242.1079,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":286.4704,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.3625,"elapsed_within_tithi_degrees":8.3625},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":286.4704,"elapsed_within_degrees":6.4704},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.5783},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.676,"elongation":44.362},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.676,"opposition_distance":135.638}},"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":"07:08","sunsetLocal":"17:21","solarNoonLocal":"12:15","dayLengthHours":10.207963879846181,"dayLengthDisplay":"10 Hours 12 Mins 29 Secs","nightLengthDisplay":"13 Hours 47 Mins 31 Secs","moonriseLocal":"10:00","moonsetLocal":"20:46","rahuKala":{"name":"Rāhu Kāla","start":"08:25","end":"09:41","startHours":8.41549970565554,"endHours":9.691495190636314,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:58","end":"12:15","startHours":10.967490675617086,"endHours":12.243486160597858,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:31","end":"14:48","startHours":13.519481645578631,"endHours":14.795477130559403,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:52","startHours":9.521362459305543,"endHours":9.861627921967083,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:50","startHours":7.564836049001692,"endHours":7.837048419130924,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:35","startHours":11.903220697936318,"endHours":12.583751623259397,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.7784423700286105,"endHours":6.458973295351689,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:08","startHours":6.288840564020919,"endHours":7.139504220674768,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:38","startHours":13.944813473905555,"endHours":14.625344399228634,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.14746810052095,"endHours":17.54746810052095,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:46","startHours":17.34746810052095,"endHours":17.772799928847874,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.09746810052095,"endHours":18.84746810052095,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:35","startHours":23.90322069793632,"endHours":24.583751623259396,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:08","end":"08:25","startHours":7.139504220674768,"endHours":8.41549970565554,"quality":"auspicious"},{"name":"Kāla","start":"08:25","end":"09:41","startHours":8.41549970565554,"endHours":9.691495190636314,"quality":"inauspicious"},{"name":"Śubha","start":"09:41","end":"10:58","startHours":9.691495190636314,"endHours":10.967490675617086,"quality":"auspicious"},{"name":"Roga","start":"10:58","end":"12:15","startHours":10.967490675617086,"endHours":12.243486160597858,"quality":"inauspicious"},{"name":"Udveg","start":"12:15","end":"13:31","startHours":12.243486160597858,"endHours":13.519481645578631,"quality":"inauspicious"},{"name":"Chala","start":"13:31","end":"14:48","startHours":13.519481645578631,"endHours":14.795477130559403,"quality":"neutral"},{"name":"Labha","start":"14:48","end":"16:04","startHours":14.795477130559403,"endHours":16.071472615540177,"quality":"auspicious"},{"name":"Amṛta","start":"16:04","end":"17:21","startHours":16.071472615540177,"endHours":17.34746810052095,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:21","end":"19:04","startHours":17.34746810052095,"endHours":19.071472615540177,"quality":"neutral"},{"name":"Labha","start":"19:04","end":"20:48","startHours":19.071472615540177,"endHours":20.795477130559405,"quality":"auspicious"},{"name":"Amṛta","start":"20:48","end":"22:31","startHours":20.795477130559405,"endHours":22.51948164557863,"quality":"auspicious"},{"name":"Kāla","start":"22:31","end":"00:15","startHours":22.51948164557863,"endHours":24.243486160597858,"quality":"inauspicious"},{"name":"Śubha","start":"00:15","end":"01:58","startHours":24.243486160597858,"endHours":25.967490675617086,"quality":"auspicious"},{"name":"Roga","start":"01:58","end":"03:41","startHours":25.967490675617086,"endHours":27.691495190636314,"quality":"inauspicious"},{"name":"Udveg","start":"03:41","end":"05:25","startHours":27.691495190636314,"endHours":29.41549970565554,"quality":"inauspicious"},{"name":"Chala","start":"05:25","end":"07:08","startHours":29.41549970565554,"endHours":31.139504220674766,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.139504220674768,"endHours":8.139504220674768,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.139504220674768,"endHours":9.139504220674768,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.139504220674768,"endHours":10.139504220674768,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.139504220674768,"endHours":11.139504220674768,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.139504220674768,"endHours":12.139504220674768,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.139504220674768,"endHours":13.139504220674768,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.139504220674768,"endHours":14.139504220674768,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.139504220674768,"endHours":15.139504220674768,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.139504220674768,"endHours":16.139504220674766,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.139504220674766,"endHours":17.139504220674766,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.139504220674766,"endHours":18.139504220674766,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.139504220674766,"endHours":19.139504220674766,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.139504220674766,"endHours":20.139504220674766,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.139504220674766,"endHours":21.139504220674766,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.139504220674766,"endHours":22.139504220674766,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.139504220674766,"endHours":23.139504220674766,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.139504220674766,"endHours":24.139504220674766,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.139504220674766,"endHours":25.139504220674766,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.139504220674766,"endHours":26.139504220674766,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.139504220674766,"endHours":27.139504220674766,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.139504220674766,"endHours":28.139504220674766,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.139504220674766,"endHours":29.139504220674766,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.139504220674766,"endHours":30.139504220674766,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.139504220674766,"endHours":31.139504220674766,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","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":-23.401811592648105,"eotMinutes":2.3204303641286352,"ayanamsa":24.4113}},"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 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 Caturthī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 19, 2039 CE · Ṛṣikeśa · Vidhyamitra","description":"December 19, 2039 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 07:08, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2039-12-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2039-12-19","sa":"https://sa.vidhyamitra.com/city/rishikesh/2039-12-19","hi":"https://hi.vidhyamitra.com/city/rishikesh/2039-12-19","x-default":"https://vidhyamitra.com/city/rishikesh/2039-12-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:26:20.945Z","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":"2026-06-01T03:26:20.945Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:26:20.945Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}