{"id":"vidhyamitra:city-day:rishikesh:2057-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2057-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2057-12-13","date_display":"December 13, 2057 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":2057,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472710.770833,"kali_year":5159,"ahargana":1884245.2708,"sun":{"sidereal_longitude":236.3032,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":80.8497,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":204.5465,"elapsed_within_tithi_degrees":0.5465},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":80.8497,"elapsed_within_degrees":0.8497},"yoga":{"number":24,"name":"Śukla","sum_longitude":317.1529},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2057,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2472710.770833,"ahargana":1884245.2708,"kali_year":5159,"ayanamsa_lahiri":24.6625,"grahas":{"sun":{"sidereal_longitude":236.84702199999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":78.56202200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":1.3318},"mars":{"sidereal_longitude":246.37822200000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":219.46502199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":314.848122,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":232.60472200000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":4.192722000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":63.6179,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":243.6179,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2057,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472710.770833,"kali_year":5159,"ahargana":1884245.2708,"sun":{"sidereal_longitude":236.3032,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":80.8497,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":204.5465,"elapsed_within_tithi_degrees":0.5465},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":80.8497,"elapsed_within_degrees":0.8497},"yoga":{"number":24,"name":"Śukla","sum_longitude":317.1529},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.332,"elongation":155.454},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.332,"opposition_distance":24.546}},"eclipse_window_40days":[{"offset_days":-2,"type":"lunar","occurs":true,"moon_latitude":-0.629,"opposition_distance":1.432},{"offset_days":13,"type":"solar","occurs":true,"moon_latitude":-0.461,"elongation":0.834}]},"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":10.230032491795697,"dayLengthDisplay":"10 Hours 13 Mins 48 Secs","nightLengthDisplay":"13 Hours 46 Mins 12 Secs","moonriseLocal":"18:39","moonsetLocal":"08:38","rahuKala":{"name":"Rāhu Kāla","start":"13:29","end":"14:45","startHours":13.476069890650827,"endHours":14.754823952125289,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:05","end":"08:22","startHours":7.082299583278515,"endHours":8.361053644752978,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:38","end":"10:55","startHours":9.63980770622744,"endHours":10.918561767701902,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:49","startHours":9.469307164697511,"endHours":9.810308247757368,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:47","startHours":7.508550937103336,"endHours":7.781351803551221,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:32","startHours":11.856314746116508,"endHours":12.53831691223622,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:24","startHours":5.718295251039089,"endHours":6.400297417158802,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:05","startHours":6.229796875628874,"endHours":7.082299583278515,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.902321244475647,"endHours":14.58432341059536,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.112332075074214,"endHours":17.512332075074212,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:44","startHours":17.312332075074213,"endHours":17.738583428899034,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.062332075074213,"endHours":18.812332075074213,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:32","startHours":23.856314746116507,"endHours":24.538316912236223,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:05","end":"08:22","startHours":7.082299583278515,"endHours":8.361053644752978,"quality":"auspicious"},{"name":"Roga","start":"08:22","end":"09:38","startHours":8.361053644752978,"endHours":9.63980770622744,"quality":"inauspicious"},{"name":"Udveg","start":"09:38","end":"10:55","startHours":9.63980770622744,"endHours":10.918561767701902,"quality":"inauspicious"},{"name":"Chala","start":"10:55","end":"12:12","startHours":10.918561767701902,"endHours":12.197315829176365,"quality":"neutral"},{"name":"Labha","start":"12:12","end":"13:29","startHours":12.197315829176365,"endHours":13.476069890650827,"quality":"auspicious"},{"name":"Amṛta","start":"13:29","end":"14:45","startHours":13.476069890650827,"endHours":14.754823952125289,"quality":"auspicious"},{"name":"Kāla","start":"14:45","end":"16:02","startHours":14.754823952125289,"endHours":16.03357801359975,"quality":"inauspicious"},{"name":"Śubha","start":"16:02","end":"17:19","startHours":16.03357801359975,"endHours":17.312332075074213,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:19","end":"19:02","startHours":17.312332075074213,"endHours":19.03357801359975,"quality":"auspicious"},{"name":"Kāla","start":"19:02","end":"20:45","startHours":19.03357801359975,"endHours":20.75482395212529,"quality":"inauspicious"},{"name":"Śubha","start":"20:45","end":"22:29","startHours":20.75482395212529,"endHours":22.476069890650827,"quality":"auspicious"},{"name":"Roga","start":"22:29","end":"00:12","startHours":22.476069890650827,"endHours":24.197315829176365,"quality":"inauspicious"},{"name":"Udveg","start":"00:12","end":"01:55","startHours":24.197315829176365,"endHours":25.918561767701902,"quality":"inauspicious"},{"name":"Chala","start":"01:55","end":"03:38","startHours":25.918561767701902,"endHours":27.63980770622744,"quality":"neutral"},{"name":"Labha","start":"03:38","end":"05:22","startHours":27.63980770622744,"endHours":29.361053644752978,"quality":"auspicious"},{"name":"Amṛta","start":"05:22","end":"07:05","startHours":29.361053644752978,"endHours":31.082299583278516,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.082299583278515,"endHours":8.082299583278516,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.082299583278516,"endHours":9.082299583278516,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.082299583278516,"endHours":10.082299583278516,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.082299583278516,"endHours":11.082299583278516,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.082299583278516,"endHours":12.082299583278516,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.082299583278516,"endHours":13.082299583278516,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.082299583278516,"endHours":14.082299583278516,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.082299583278516,"endHours":15.082299583278516,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.082299583278516,"endHours":16.082299583278516,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.082299583278516,"endHours":17.082299583278516,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.082299583278516,"endHours":18.082299583278516,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.082299583278516,"endHours":19.082299583278516,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.082299583278516,"endHours":20.082299583278516,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.082299583278516,"endHours":21.082299583278516,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.082299583278516,"endHours":22.082299583278516,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.082299583278516,"endHours":23.082299583278516,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.082299583278516,"endHours":24.082299583278516,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.082299583278516,"endHours":25.082299583278516,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.082299583278516,"endHours":26.082299583278516,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.082299583278516,"endHours":27.082299583278516,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.082299583278516,"endHours":28.082299583278516,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.082299583278516,"endHours":29.082299583278516,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.082299583278516,"endHours":30.082299583278516,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.082299583278516,"endHours":31.082299583278516,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","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":-23.164570603260373,"eotMinutes":5.090650249418121,"ayanamsa":24.6625}},"calendars":{"vikram_samvat":2114,"vikram_samvatsara":"Vikṛti","saka_samvat":1979,"saka_samvatsara":"Īśvara","bengali_samvat":1464,"malayalam_era":1233,"nanakshahi_year":588,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Tṛtīyā · Vikram 2114 Vikṛti · Śaka 1979 Īśvara"},"festivals":[],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 13, 2057 CE · Ṛṣikeśa · Vidhyamitra","description":"December 13, 2057 CE for Ṛṣikeśa: Kṛṣṇa Tṛtīyā, sūryodaya 07:05, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2057-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2057-12-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2057-12-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2057-12-13","x-default":"https://vidhyamitra.com/city/rishikesh/2057-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:14:29.477Z","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":"2026-05-31T21:14:29.477Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:14:29.477Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}