{"id":"vidhyamitra:city-day:mathura:2015-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2015-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-01-21","date_display":"January 21, 2015 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":2015,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457043.770833,"kali_year":5116,"ahargana":1868578.2708,"sun":{"sidereal_longitude":276.495,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":281.5451,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.0502,"elapsed_within_tithi_degrees":5.0502},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":281.5451,"elapsed_within_degrees":1.5451},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.0401},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2015,"month":1,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457043.770833,"ahargana":1868578.2708,"kali_year":5116,"ayanamsa_lahiri":24.0633,"grahas":{"sun":{"sidereal_longitude":276.59701700000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":283.4680169999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":4.2838},"mars":{"sidereal_longitude":312.4182169999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":292.8321169999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":114.93471699999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":297.52411699999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":218.38741700000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":173.731,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":353.731,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"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":2015,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457043.770833,"kali_year":5116,"ahargana":1868578.2708,"sun":{"sidereal_longitude":276.495,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":281.5451,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.0502,"elapsed_within_tithi_degrees":5.0502},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":281.5451,"elapsed_within_degrees":1.5451},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.0401},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.284,"elongation":5.05},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.284,"opposition_distance":174.95}},"eclipse_window_40days":[]},"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":"07:10","sunsetLocal":"17:51","solarNoonLocal":"12:31","dayLengthHours":10.679154384480153,"dayLengthDisplay":"10 Hours 40 Mins 45 Secs","nightLengthDisplay":"13 Hours 19 Mins 15 Secs","moonriseLocal":"07:35","moonsetLocal":"18:21","rahuKala":{"name":"Rāhu Kāla","start":"12:31","end":"13:51","startHours":12.5093488541522,"endHours":13.844243152212222,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"09:50","startHours":8.504665959972144,"endHours":9.839560258032163,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:10","end":"12:31","startHours":11.174454556092183,"endHours":12.5093488541522,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.66157435162416,"endHours":10.017546164440166,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.614736427932131,"endHours":7.899513878184935,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.153377041336197,"endHours":12.865320666968207,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:27","startHours":5.745884410648104,"endHours":6.457828036280115,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:10","startHours":6.2798421298721125,"endHours":7.169771661912125,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:00","startHours":14.289207918232226,"endHours":15.001151543864236,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.64892604639228,"endHours":18.04892604639228,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:18","startHours":17.84892604639228,"endHours":18.293890812412286,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.59892604639228,"endHours":19.34892604639228,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.153377041336196,"endHours":24.865320666968206,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:10","end":"08:30","startHours":7.169771661912125,"endHours":8.504665959972144,"quality":"auspicious"},{"name":"Amṛta","start":"08:30","end":"09:50","startHours":8.504665959972144,"endHours":9.839560258032163,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:10","startHours":9.839560258032163,"endHours":11.174454556092183,"quality":"inauspicious"},{"name":"Śubha","start":"11:10","end":"12:31","startHours":11.174454556092183,"endHours":12.5093488541522,"quality":"auspicious"},{"name":"Roga","start":"12:31","end":"13:51","startHours":12.5093488541522,"endHours":13.844243152212222,"quality":"inauspicious"},{"name":"Udveg","start":"13:51","end":"15:11","startHours":13.844243152212222,"endHours":15.17913745027224,"quality":"inauspicious"},{"name":"Chala","start":"15:11","end":"16:31","startHours":15.17913745027224,"endHours":16.514031748332258,"quality":"neutral"},{"name":"Labha","start":"16:31","end":"17:51","startHours":16.514031748332258,"endHours":17.84892604639228,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:51","end":"19:31","startHours":17.84892604639228,"endHours":19.51403174833226,"quality":"inauspicious"},{"name":"Chala","start":"19:31","end":"21:11","startHours":19.51403174833226,"endHours":21.17913745027224,"quality":"neutral"},{"name":"Labha","start":"21:11","end":"22:51","startHours":21.17913745027224,"endHours":22.844243152212222,"quality":"auspicious"},{"name":"Amṛta","start":"22:51","end":"00:31","startHours":22.844243152212222,"endHours":24.5093488541522,"quality":"auspicious"},{"name":"Kāla","start":"00:31","end":"02:10","startHours":24.5093488541522,"endHours":26.174454556092183,"quality":"inauspicious"},{"name":"Śubha","start":"02:10","end":"03:50","startHours":26.174454556092183,"endHours":27.839560258032165,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:30","startHours":27.839560258032165,"endHours":29.504665959972144,"quality":"inauspicious"},{"name":"Udveg","start":"05:30","end":"07:10","startHours":29.504665959972144,"endHours":31.169771661912126,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.169771661912125,"endHours":8.169771661912126,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.169771661912126,"endHours":9.169771661912126,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.169771661912126,"endHours":10.169771661912126,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.169771661912126,"endHours":11.169771661912126,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.169771661912126,"endHours":12.169771661912126,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.169771661912126,"endHours":13.169771661912126,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.169771661912126,"endHours":14.169771661912126,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.169771661912126,"endHours":15.169771661912126,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.169771661912126,"endHours":16.169771661912126,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.169771661912126,"endHours":17.169771661912126,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.169771661912126,"endHours":18.169771661912126,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.169771661912126,"endHours":19.169771661912126,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.169771661912126,"endHours":20.169771661912126,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.169771661912126,"endHours":21.169771661912126,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.169771661912126,"endHours":22.169771661912126,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.169771661912126,"endHours":23.169771661912126,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.169771661912126,"endHours":24.169771661912126,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.169771661912126,"endHours":25.169771661912126,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.169771661912126,"endHours":26.169771661912126,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.169771661912126,"endHours":27.169771661912126,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.169771661912126,"endHours":28.169771661912126,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.169771661912126,"endHours":29.169771661912126,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.169771661912126,"endHours":30.169771661912126,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.169771661912126,"endHours":31.169771661912126,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.00680311617436,"eotMinutes":-11.255731249132124,"ayanamsa":24.0633}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pratipada · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"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":"magha-gupta-navratri-start","name":"Māgha Gupta Navrātri Start","name_sanskrit":"माघ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Hidden (gupta) Navrātri for advanced sādhanā of 10 Mahāvidyās.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":3}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 21, 2015 CE · Mathurā · Vidhyamitra","description":"January 21, 2015 CE for Mathurā: Śukla Pratipada, sūryodaya 07:10, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2015-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2015-01-21","sa":"https://sa.vidhyamitra.com/city/mathura/2015-01-21","hi":"https://hi.vidhyamitra.com/city/mathura/2015-01-21","x-default":"https://vidhyamitra.com/city/mathura/2015-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:32:23.105Z","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":"2026-05-14T18:32:23.105Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:32:23.105Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}