{"id":"vidhyamitra:city-day:mathura:2011-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2011-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-01-15","date_display":"January 15, 2011 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":2011,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455576.770833,"kali_year":5112,"ahargana":1867111.2708,"sun":{"sidereal_longitude":270.3731,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":30.3931,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":120.02,"elapsed_within_tithi_degrees":0.02},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.3931,"elapsed_within_degrees":3.7264},"yoga":{"number":23,"name":"Śubha","sum_longitude":300.7662},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2011,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455576.770833,"ahargana":1867111.2708,"kali_year":5112,"ayanamsa_lahiri":24.0072,"grahas":{"sun":{"sidereal_longitude":270.51446699999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":29.306466999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":2.9545},"mars":{"sidereal_longitude":275.144667,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":247.63046699999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":334.7075669999999,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":223.56126700000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":172.85706700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":251.4597,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":71.4597,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2011,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455576.770833,"kali_year":5112,"ahargana":1867111.2708,"sun":{"sidereal_longitude":270.3731,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":30.3931,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":120.02,"elapsed_within_tithi_degrees":0.02},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.3931,"elapsed_within_degrees":3.7264},"yoga":{"number":23,"name":"Śubha","sum_longitude":300.7662},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.954,"elongation":120.02},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.954,"opposition_distance":59.98}},"eclipse_window_40days":[{"offset_days":-11,"type":"solar","occurs":true,"moon_latitude":0.37,"elongation":2.307}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:11","sunsetLocal":"17:46","solarNoonLocal":"12:29","dayLengthHours":10.583028323640903,"dayLengthDisplay":"10 Hours 34 Mins 59 Secs","nightLengthDisplay":"13 Hours 25 Mins 01 Secs","moonriseLocal":"13:41","moonsetLocal":"03:07","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:09","startHours":9.831828743191995,"endHours":11.15470728364711,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:48","end":"15:07","startHours":13.800464364557335,"endHours":15.123342905012446,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:11","end":"08:31","startHours":7.18607166228177,"endHours":8.508950202736884,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.65544493779798,"endHours":10.00821254858601,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.627031175766808,"endHours":7.9092452643972315,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:50","startHours":12.12481821331419,"endHours":12.83035343489025,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.775001219129649,"endHours":6.48053644070571,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.304152635311695,"endHours":7.18607166228177,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:57","startHours":14.241423878042372,"endHours":14.946959099618432,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.569099985922673,"endHours":17.96909998592267,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:13","startHours":17.769099985922672,"endHours":18.21005949940771,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.519099985922672,"endHours":19.269099985922672,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:50","startHours":24.12481821331419,"endHours":24.830353434890252,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:11","end":"08:31","startHours":7.18607166228177,"endHours":8.508950202736884,"quality":"inauspicious"},{"name":"Śubha","start":"08:31","end":"09:50","startHours":8.508950202736884,"endHours":9.831828743191995,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:09","startHours":9.831828743191995,"endHours":11.15470728364711,"quality":"inauspicious"},{"name":"Udveg","start":"11:09","end":"12:29","startHours":11.15470728364711,"endHours":12.47758582410222,"quality":"inauspicious"},{"name":"Chala","start":"12:29","end":"13:48","startHours":12.47758582410222,"endHours":13.800464364557335,"quality":"neutral"},{"name":"Labha","start":"13:48","end":"15:07","startHours":13.800464364557335,"endHours":15.123342905012446,"quality":"auspicious"},{"name":"Amṛta","start":"15:07","end":"16:27","startHours":15.123342905012446,"endHours":16.44622144546756,"quality":"auspicious"},{"name":"Kāla","start":"16:27","end":"17:46","startHours":16.44622144546756,"endHours":17.769099985922672,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:46","end":"19:27","startHours":17.769099985922672,"endHours":19.446221445467557,"quality":"auspicious"},{"name":"Amṛta","start":"19:27","end":"21:07","startHours":19.446221445467557,"endHours":21.123342905012446,"quality":"auspicious"},{"name":"Kāla","start":"21:07","end":"22:48","startHours":21.123342905012446,"endHours":22.800464364557335,"quality":"inauspicious"},{"name":"Śubha","start":"22:48","end":"00:29","startHours":22.800464364557335,"endHours":24.47758582410222,"quality":"auspicious"},{"name":"Roga","start":"00:29","end":"02:09","startHours":24.47758582410222,"endHours":26.154707283647106,"quality":"inauspicious"},{"name":"Udveg","start":"02:09","end":"03:50","startHours":26.154707283647106,"endHours":27.831828743191995,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:31","startHours":27.831828743191995,"endHours":29.508950202736884,"quality":"neutral"},{"name":"Labha","start":"05:31","end":"07:11","startHours":29.508950202736884,"endHours":31.18607166228177,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.18607166228177,"endHours":8.186071662281769,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.186071662281769,"endHours":9.186071662281769,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.186071662281769,"endHours":10.186071662281769,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.186071662281769,"endHours":11.186071662281769,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.186071662281769,"endHours":12.186071662281769,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.186071662281769,"endHours":13.186071662281769,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.186071662281769,"endHours":14.186071662281769,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.186071662281769,"endHours":15.186071662281769,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.186071662281769,"endHours":16.18607166228177,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18607166228177,"endHours":17.18607166228177,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18607166228177,"endHours":18.18607166228177,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18607166228177,"endHours":19.18607166228177,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18607166228177,"endHours":20.18607166228177,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18607166228177,"endHours":21.18607166228177,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18607166228177,"endHours":22.18607166228177,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18607166228177,"endHours":23.18607166228177,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18607166228177,"endHours":24.18607166228177,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18607166228177,"endHours":25.18607166228177,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18607166228177,"endHours":26.18607166228177,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18607166228177,"endHours":27.18607166228177,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18607166228177,"endHours":28.18607166228177,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18607166228177,"endHours":29.18607166228177,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18607166228177,"endHours":30.18607166228177,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18607166228177,"endHours":31.18607166228177,"planetary_lord":"Mercury"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.21439140318844,"eotMinutes":-9.349949446133257,"ayanamsa":24.0072}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Ekādaśī · Vikram 2068 Krodhi · Śaka 1933 Khara"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"id":"jaya-ekadashi","name":"Jayā Ekādaśī","name_sanskrit":"जया एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Removes pretatva (ghost-state); grants victory.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 15, 2011 CE · Mathurā · Vidhyamitra","description":"January 15, 2011 CE for Mathurā: Śukla Ekādaśī, sūryodaya 07:11, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2011-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2011-01-15","sa":"https://sa.vidhyamitra.com/city/mathura/2011-01-15","hi":"https://hi.vidhyamitra.com/city/mathura/2011-01-15","x-default":"https://vidhyamitra.com/city/mathura/2011-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:24:50.398Z","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":"2026-05-14T16:24:50.398Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:24:50.398Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}