{"id":"vidhyamitra:city-day:rishikesh:2126-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2126-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2126-12-13","date_display":"December 13, 2126 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":2126,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497911.770833,"kali_year":5228,"ahargana":1909446.2708,"sun":{"sidereal_longitude":234.4027,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":219.7221,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":345.3194,"elapsed_within_tithi_degrees":9.3194},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":219.7221,"elapsed_within_degrees":6.3888},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.1247},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":2126,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497911.770833,"ahargana":1909446.2708,"kali_year":5228,"ayanamsa_lahiri":25.6264,"grahas":{"sun":{"sidereal_longitude":235.12575900000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":218.55305899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":3.5142},"mars":{"sidereal_longitude":174.99385899999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":237.63105899999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":252.99205900000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":253.63645899999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":149.11275899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":168.3477,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":348.3477,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"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":2126,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497911.770833,"kali_year":5228,"ahargana":1909446.2708,"sun":{"sidereal_longitude":234.4027,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":219.7221,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":345.3194,"elapsed_within_tithi_degrees":9.3194},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":219.7221,"elapsed_within_degrees":6.3888},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.1247},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.514,"elongation":14.681},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.514,"opposition_distance":165.319}},"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":"07:05","sunsetLocal":"17:19","solarNoonLocal":"12:12","dayLengthHours":10.23471887858039,"dayLengthDisplay":"10 Hours 14 Mins 05 Secs","nightLengthDisplay":"13 Hours 45 Mins 55 Secs","moonriseLocal":"05:54","moonsetLocal":"16:17","rahuKala":{"name":"Rāhu Kāla","start":"10:55","end":"12:12","startHours":10.917975969353815,"endHours":12.197315829176365,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:45","end":"16:02","startHours":14.755995548821462,"endHours":16.03533540864401,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:22","end":"09:38","startHours":8.359296249708718,"endHours":9.638636109531266,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:49","startHours":9.468057461554928,"endHours":9.809214757507606,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:47","startHours":7.506403009827018,"endHours":7.779328846589162,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:32","startHours":11.856158533223685,"endHours":12.538473125129045,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:24","startHours":5.71532720607545,"endHours":6.39764179798081,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:05","startHours":6.2270631500044695,"endHours":7.079956389886169,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.903102308939761,"endHours":14.585416900845122,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.11467526846656,"endHours":17.514675268466558,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:44","startHours":17.31467526846656,"endHours":17.74112188840741,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.06467526846656,"endHours":18.81467526846656,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:32","startHours":23.856158533223685,"endHours":24.538473125129045,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:05","end":"08:22","startHours":7.079956389886169,"endHours":8.359296249708718,"quality":"neutral"},{"name":"Labha","start":"08:22","end":"09:38","startHours":8.359296249708718,"endHours":9.638636109531266,"quality":"auspicious"},{"name":"Amṛta","start":"09:38","end":"10:55","startHours":9.638636109531266,"endHours":10.917975969353815,"quality":"auspicious"},{"name":"Kāla","start":"10:55","end":"12:12","startHours":10.917975969353815,"endHours":12.197315829176365,"quality":"inauspicious"},{"name":"Śubha","start":"12:12","end":"13:29","startHours":12.197315829176365,"endHours":13.476655688998912,"quality":"auspicious"},{"name":"Roga","start":"13:29","end":"14:45","startHours":13.476655688998912,"endHours":14.755995548821462,"quality":"inauspicious"},{"name":"Udveg","start":"14:45","end":"16:02","startHours":14.755995548821462,"endHours":16.03533540864401,"quality":"inauspicious"},{"name":"Chala","start":"16:02","end":"17:19","startHours":16.03533540864401,"endHours":17.31467526846656,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:19","end":"19:02","startHours":17.31467526846656,"endHours":19.03533540864401,"quality":"inauspicious"},{"name":"Udveg","start":"19:02","end":"20:45","startHours":19.03533540864401,"endHours":20.75599554882146,"quality":"inauspicious"},{"name":"Chala","start":"20:45","end":"22:29","startHours":20.75599554882146,"endHours":22.47665568899891,"quality":"neutral"},{"name":"Labha","start":"22:29","end":"00:12","startHours":22.47665568899891,"endHours":24.197315829176365,"quality":"auspicious"},{"name":"Amṛta","start":"00:12","end":"01:55","startHours":24.197315829176365,"endHours":25.917975969353815,"quality":"auspicious"},{"name":"Kāla","start":"01:55","end":"03:38","startHours":25.917975969353815,"endHours":27.638636109531266,"quality":"inauspicious"},{"name":"Śubha","start":"03:38","end":"05:22","startHours":27.638636109531266,"endHours":29.35929624970872,"quality":"auspicious"},{"name":"Roga","start":"05:22","end":"07:05","startHours":29.35929624970872,"endHours":31.07995638988617,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.079956389886169,"endHours":8.079956389886169,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.079956389886169,"endHours":9.079956389886169,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.079956389886169,"endHours":10.079956389886169,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.079956389886169,"endHours":11.079956389886169,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.079956389886169,"endHours":12.079956389886169,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.079956389886169,"endHours":13.079956389886169,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.079956389886169,"endHours":14.079956389886169,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.079956389886169,"endHours":15.079956389886169,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.079956389886169,"endHours":16.07995638988617,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.07995638988617,"endHours":17.07995638988617,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.07995638988617,"endHours":18.07995638988617,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.07995638988617,"endHours":19.07995638988617,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.07995638988617,"endHours":20.07995638988617,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.07995638988617,"endHours":21.07995638988617,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.07995638988617,"endHours":22.07995638988617,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.07995638988617,"endHours":23.07995638988617,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.07995638988617,"endHours":24.07995638988617,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.07995638988617,"endHours":25.07995638988617,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.07995638988617,"endHours":26.07995638988617,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.07995638988617,"endHours":27.07995638988617,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.07995638988617,"endHours":28.07995638988617,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.07995638988617,"endHours":29.07995638988617,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.07995638988617,"endHours":30.07995638988617,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.07995638988617,"endHours":31.07995638988617,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.114064985306836,"eotMinutes":5.090650249418121,"ayanamsa":25.6264}},"calendars":{"vikram_samvat":2183,"vikram_samvatsara":"Vikāri","saka_samvat":2048,"saka_samvatsara":"Vyaya","bengali_samvat":1533,"malayalam_era":1302,"nanakshahi_year":657,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Caturdaśī · Vikram 2183 Vikāri · Śaka 2048 Vyaya"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[]},"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 13, 2126 CE · Ṛṣikeśa · Vidhyamitra","description":"December 13, 2126 CE for Ṛṣikeśa: Kṛṣṇa Caturdaśī, sūryodaya 07:05, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2126-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2126-12-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2126-12-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2126-12-13","x-default":"https://vidhyamitra.com/city/rishikesh/2126-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-23T05:47:02.262Z","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":"2026-05-23T05:47:02.262Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-23T05:47:02.262Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}