{"id":"vidhyamitra:city-day:rishikesh:2119-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2119-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2119-12-15","date_display":"December 15, 2119 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":2119,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495356.770833,"kali_year":5221,"ahargana":1906891.2708,"sun":{"sidereal_longitude":236.2592,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":34.3769,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":158.1176,"elapsed_within_tithi_degrees":2.1176},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.3769,"elapsed_within_degrees":7.7102},"yoga":{"number":21,"name":"Siddha","sum_longitude":270.6361},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2119,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495356.770833,"ahargana":1906891.2708,"kali_year":5221,"ayanamsa_lahiri":25.5286,"grahas":{"sun":{"sidereal_longitude":236.950779,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":35.19507900000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":4.4997},"mars":{"sidereal_longitude":237.31347900000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":235.52897900000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":53.722578999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":200.38127899999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":49.141778999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":303.7239,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.7239,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2119,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495356.770833,"kali_year":5221,"ahargana":1906891.2708,"sun":{"sidereal_longitude":236.2592,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":34.3769,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":158.1176,"elapsed_within_tithi_degrees":2.1176},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.3769,"elapsed_within_degrees":7.7102},"yoga":{"number":21,"name":"Siddha","sum_longitude":270.6361},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.5,"elongation":158.118},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.5,"opposition_distance":21.882}},"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":"07:06","sunsetLocal":"17:19","solarNoonLocal":"12:13","dayLengthHours":10.22460427738875,"dayLengthDisplay":"10 Hours 13 Mins 29 Secs","nightLengthDisplay":"13 Hours 46 Mins 31 Secs","moonriseLocal":"15:53","moonsetLocal":"05:38","rahuKala":{"name":"Rāhu Kāla","start":"10:56","end":"12:13","startHours":10.934452214766871,"endHours":12.212527749440465,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:46","end":"16:03","startHours":14.768678818787652,"endHours":16.046754353461246,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:23","end":"09:39","startHours":8.378301145419684,"endHours":9.656376680093278,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:50","startHours":9.485966608803466,"endHours":9.82678675138309,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:48","startHours":7.526250788970621,"endHours":7.798906903034322,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:33","startHours":11.87170760686084,"endHours":12.55334789202009,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:25","startHours":5.736945040427591,"endHours":6.41858532558684,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:06","startHours":6.248175254297028,"endHours":7.10022561074609,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:36","startHours":13.91662846233859,"endHours":14.59826874749784,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.12482988813484,"endHours":17.52482988813484,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.32482988813484,"endHours":17.75085506635937,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.07482988813484,"endHours":18.82482988813484,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:33","startHours":23.87170760686084,"endHours":24.55334789202009,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:06","end":"08:23","startHours":7.10022561074609,"endHours":8.378301145419684,"quality":"neutral"},{"name":"Labha","start":"08:23","end":"09:39","startHours":8.378301145419684,"endHours":9.656376680093278,"quality":"auspicious"},{"name":"Amṛta","start":"09:39","end":"10:56","startHours":9.656376680093278,"endHours":10.934452214766871,"quality":"auspicious"},{"name":"Kāla","start":"10:56","end":"12:13","startHours":10.934452214766871,"endHours":12.212527749440465,"quality":"inauspicious"},{"name":"Śubha","start":"12:13","end":"13:29","startHours":12.212527749440465,"endHours":13.490603284114059,"quality":"auspicious"},{"name":"Roga","start":"13:29","end":"14:46","startHours":13.490603284114059,"endHours":14.768678818787652,"quality":"inauspicious"},{"name":"Udveg","start":"14:46","end":"16:03","startHours":14.768678818787652,"endHours":16.046754353461246,"quality":"inauspicious"},{"name":"Chala","start":"16:03","end":"17:19","startHours":16.046754353461246,"endHours":17.32482988813484,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:19","end":"19:03","startHours":17.32482988813484,"endHours":19.046754353461246,"quality":"inauspicious"},{"name":"Udveg","start":"19:03","end":"20:46","startHours":19.046754353461246,"endHours":20.768678818787652,"quality":"inauspicious"},{"name":"Chala","start":"20:46","end":"22:29","startHours":20.768678818787652,"endHours":22.49060328411406,"quality":"neutral"},{"name":"Labha","start":"22:29","end":"00:13","startHours":22.49060328411406,"endHours":24.212527749440465,"quality":"auspicious"},{"name":"Amṛta","start":"00:13","end":"01:56","startHours":24.212527749440465,"endHours":25.93445221476687,"quality":"auspicious"},{"name":"Kāla","start":"01:56","end":"03:39","startHours":25.93445221476687,"endHours":27.656376680093278,"quality":"inauspicious"},{"name":"Śubha","start":"03:39","end":"05:23","startHours":27.656376680093278,"endHours":29.378301145419684,"quality":"auspicious"},{"name":"Roga","start":"05:23","end":"07:06","startHours":29.378301145419684,"endHours":31.10022561074609,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.10022561074609,"endHours":8.10022561074609,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.10022561074609,"endHours":9.10022561074609,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.10022561074609,"endHours":10.10022561074609,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.10022561074609,"endHours":11.10022561074609,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.10022561074609,"endHours":12.10022561074609,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.10022561074609,"endHours":13.10022561074609,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.10022561074609,"endHours":14.10022561074609,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.10022561074609,"endHours":15.10022561074609,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.10022561074609,"endHours":16.10022561074609,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.10022561074609,"endHours":17.10022561074609,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.10022561074609,"endHours":18.10022561074609,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.10022561074609,"endHours":19.10022561074609,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.10022561074609,"endHours":20.10022561074609,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.10022561074609,"endHours":21.10022561074609,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.10022561074609,"endHours":22.10022561074609,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.10022561074609,"endHours":23.10022561074609,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.10022561074609,"endHours":24.10022561074609,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.10022561074609,"endHours":25.10022561074609,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.10022561074609,"endHours":26.10022561074609,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.10022561074609,"endHours":27.10022561074609,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.10022561074609,"endHours":28.10022561074609,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.10022561074609,"endHours":29.10022561074609,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.10022561074609,"endHours":30.10022561074609,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.10022561074609,"endHours":31.10022561074609,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Gada","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":-23.223015750053033,"eotMinutes":4.177935033572184,"ayanamsa":25.5286}},"calendars":{"vikram_samvat":2176,"vikram_samvatsara":"Nandana","saka_samvat":2041,"saka_samvatsara":"Pramāthi","bengali_samvat":1526,"malayalam_era":1295,"nanakshahi_year":650,"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 Caturdaśī · Vikram 2176 Nandana · Śaka 2041 Pramāthi"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","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 15, 2119 CE · Ṛṣikeśa · Vidhyamitra","description":"December 15, 2119 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 07:06, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2119-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2119-12-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/2119-12-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/2119-12-15","x-default":"https://vidhyamitra.com/city/rishikesh/2119-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:29:55.677Z","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":"2026-06-02T03:29:55.677Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T03:29:55.677Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}