{"id":"vidhyamitra:city-day:rishikesh:2131-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2131-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2131-12-20","date_display":"December 20, 2131 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":2131,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499744.770833,"kali_year":5233,"ahargana":1911279.2708,"sun":{"sidereal_longitude":241.2809,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":245.5781,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":4.2972,"elapsed_within_tithi_degrees":4.2972},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":245.5781,"elapsed_within_degrees":5.5781},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":126.859},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2131,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2499744.770833,"ahargana":1911279.2708,"kali_year":5233,"ayanamsa_lahiri":25.6965,"grahas":{"sun":{"sidereal_longitude":241.95782499999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":245.73792500000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":0.4425},"mars":{"sidereal_longitude":6.977725000000021,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":229.69532500000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":58.24202500000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":279.06922499999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":205.96692499999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":71.2265,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":251.2265,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"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":2131,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499744.770833,"kali_year":5233,"ahargana":1911279.2708,"sun":{"sidereal_longitude":241.2809,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":245.5781,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":4.2972,"elapsed_within_tithi_degrees":4.2972},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":245.5781,"elapsed_within_degrees":5.5781},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":126.859},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.442,"elongation":4.297},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.442,"opposition_distance":175.703}},"eclipse_window_40days":[{"offset_days":14,"type":"lunar","occurs":true,"moon_latitude":0.546,"opposition_distance":1.791}]},"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":"07:09","sunsetLocal":"17:21","solarNoonLocal":"12:15","dayLengthHours":10.206670049455681,"dayLengthDisplay":"10 Hours 12 Mins 24 Secs","nightLengthDisplay":"13 Hours 47 Mins 36 Secs","moonriseLocal":"07:25","moonsetLocal":"17:35","rahuKala":{"name":"Rāhu Kāla","start":"13:32","end":"14:48","startHours":13.527128464140816,"endHours":14.802962220322776,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:09","end":"08:25","startHours":7.147959683231014,"endHours":8.423793439412975,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:42","end":"10:59","startHours":9.699627195594935,"endHours":10.975460951776896,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:52","startHours":9.529516028104005,"endHours":9.869738363085862,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.5732376019583345,"endHours":7.845415469943819,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:35","startHours":11.911072372977,"endHours":12.591517042940712,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.78707034330359,"endHours":6.4675150132673025,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:09","startHours":6.297403845776374,"endHours":7.147959683231014,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:38","startHours":13.952406382868135,"endHours":14.632851052831848,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.154629732686697,"endHours":17.554629732686696,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:47","startHours":17.354629732686696,"endHours":17.779907651414018,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.104629732686696,"endHours":18.854629732686696,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:35","startHours":23.911072372977,"endHours":24.591517042940712,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:09","end":"08:25","startHours":7.147959683231014,"endHours":8.423793439412975,"quality":"auspicious"},{"name":"Roga","start":"08:25","end":"09:42","startHours":8.423793439412975,"endHours":9.699627195594935,"quality":"inauspicious"},{"name":"Udveg","start":"09:42","end":"10:59","startHours":9.699627195594935,"endHours":10.975460951776896,"quality":"inauspicious"},{"name":"Chala","start":"10:59","end":"12:15","startHours":10.975460951776896,"endHours":12.251294707958856,"quality":"neutral"},{"name":"Labha","start":"12:15","end":"13:32","startHours":12.251294707958856,"endHours":13.527128464140816,"quality":"auspicious"},{"name":"Amṛta","start":"13:32","end":"14:48","startHours":13.527128464140816,"endHours":14.802962220322776,"quality":"auspicious"},{"name":"Kāla","start":"14:48","end":"16:05","startHours":14.802962220322776,"endHours":16.078795976504736,"quality":"inauspicious"},{"name":"Śubha","start":"16:05","end":"17:21","startHours":16.078795976504736,"endHours":17.354629732686696,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:21","end":"19:05","startHours":17.354629732686696,"endHours":19.078795976504736,"quality":"auspicious"},{"name":"Kāla","start":"19:05","end":"20:48","startHours":19.078795976504736,"endHours":20.802962220322776,"quality":"inauspicious"},{"name":"Śubha","start":"20:48","end":"22:32","startHours":20.802962220322776,"endHours":22.527128464140816,"quality":"auspicious"},{"name":"Roga","start":"22:32","end":"00:15","startHours":22.527128464140816,"endHours":24.251294707958856,"quality":"inauspicious"},{"name":"Udveg","start":"00:15","end":"01:59","startHours":24.251294707958856,"endHours":25.975460951776896,"quality":"inauspicious"},{"name":"Chala","start":"01:59","end":"03:42","startHours":25.975460951776896,"endHours":27.699627195594935,"quality":"neutral"},{"name":"Labha","start":"03:42","end":"05:25","startHours":27.699627195594935,"endHours":29.423793439412975,"quality":"auspicious"},{"name":"Amṛta","start":"05:25","end":"07:09","startHours":29.423793439412975,"endHours":31.147959683231015,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.147959683231014,"endHours":8.147959683231015,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.147959683231015,"endHours":9.147959683231015,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.147959683231015,"endHours":10.147959683231015,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.147959683231015,"endHours":11.147959683231015,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.147959683231015,"endHours":12.147959683231015,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.147959683231015,"endHours":13.147959683231015,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.147959683231015,"endHours":14.147959683231015,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.147959683231015,"endHours":15.147959683231015,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.147959683231015,"endHours":16.147959683231015,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.147959683231015,"endHours":17.147959683231015,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.147959683231015,"endHours":18.147959683231015,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.147959683231015,"endHours":19.147959683231015,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.147959683231015,"endHours":20.147959683231015,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.147959683231015,"endHours":21.147959683231015,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.147959683231015,"endHours":22.147959683231015,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.147959683231015,"endHours":23.147959683231015,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.147959683231015,"endHours":24.147959683231015,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.147959683231015,"endHours":25.147959683231015,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.147959683231015,"endHours":26.147959683231015,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.147959683231015,"endHours":27.147959683231015,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.147959683231015,"endHours":28.147959683231015,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.147959683231015,"endHours":29.147959683231015,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.147959683231015,"endHours":30.147959683231015,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.147959683231015,"endHours":31.147959683231015,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.41568998006043,"eotMinutes":1.851917522468745,"ayanamsa":25.6965}},"calendars":{"vikram_samvat":2188,"vikram_samvatsara":"Krodhi","saka_samvat":2053,"saka_samvatsara":"Khara","bengali_samvat":1538,"malayalam_era":1307,"nanakshahi_year":662,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pratipada · Vikram 2188 Krodhi · Śaka 2053 Khara"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 20, 2131 CE · Ṛṣikeśa · Vidhyamitra","description":"December 20, 2131 CE for Ṛṣikeśa: Śukla Pratipada, sūryodaya 07:09, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2131-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2131-12-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2131-12-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2131-12-20","x-default":"https://vidhyamitra.com/city/rishikesh/2131-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T14:17:33.437Z","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":"2026-05-24T14:17:33.437Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T14:17:33.437Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}