{"id":"vidhyamitra:city-day:mathura:2020-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2020-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-01-15","date_display":"January 15, 2020 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2020,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458863.770833,"kali_year":5121,"ahargana":1870398.2708,"sun":{"sidereal_longitude":270.0354,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":144.4994,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.464,"elapsed_within_tithi_degrees":6.464},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.4994,"elapsed_within_degrees":11.1661},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.5349},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":2020,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458863.770833,"ahargana":1870398.2708,"kali_year":5121,"ayanamsa_lahiri":24.1329,"grahas":{"sun":{"sidereal_longitude":270.20017899999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":147.047979,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":4.1478},"mars":{"sidereal_longitude":223.46657900000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":272.750079,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":255.77587900000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":307.115579,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":268.8725790000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":77.2986,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":257.2986,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2020,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458863.770833,"kali_year":5121,"ahargana":1870398.2708,"sun":{"sidereal_longitude":270.0354,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":144.4994,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.464,"elapsed_within_tithi_degrees":6.464},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.4994,"elapsed_within_degrees":11.1661},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.5349},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.148,"elongation":125.536},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.148,"opposition_distance":54.464}},"eclipse_window_40days":[{"offset_days":-20,"type":"solar","occurs":true,"moon_latitude":0.726,"elongation":0.409},{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":0.783,"opposition_distance":1.611}]},"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":10.58035521306715,"dayLengthDisplay":"10 Hours 34 Mins 49 Secs","nightLengthDisplay":"13 Hours 25 Mins 11 Secs","moonriseLocal":"22:06","moonsetLocal":"10:26","rahuKala":{"name":"Rāhu Kāla","start":"12:29","end":"13:48","startHours":12.47758582410222,"endHours":13.800130225735614,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:31","end":"09:50","startHours":8.50995261920204,"endHours":9.832497020835433,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:09","end":"12:29","startHours":11.155041422468827,"endHours":12.47758582410222,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.656157767284313,"endHours":10.008836274386551,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.628256351446442,"endHours":7.910399157128233,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:50","startHours":12.124907316999982,"endHours":12.830264331204459,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7766941891596915,"endHours":6.4820512033641675,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.305711949813048,"endHours":7.1874082175686445,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:57","startHours":14.240978359613411,"endHours":14.946335373817888,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.567763430635797,"endHours":17.967763430635795,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:13","startHours":17.767763430635796,"endHours":18.208611564513593,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.517763430635796,"endHours":19.267763430635796,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:50","startHours":24.124907316999984,"endHours":24.830264331204457,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:31","startHours":7.1874082175686445,"endHours":8.50995261920204,"quality":"auspicious"},{"name":"Amṛta","start":"08:31","end":"09:50","startHours":8.50995261920204,"endHours":9.832497020835433,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:09","startHours":9.832497020835433,"endHours":11.155041422468827,"quality":"inauspicious"},{"name":"Śubha","start":"11:09","end":"12:29","startHours":11.155041422468827,"endHours":12.47758582410222,"quality":"auspicious"},{"name":"Roga","start":"12:29","end":"13:48","startHours":12.47758582410222,"endHours":13.800130225735614,"quality":"inauspicious"},{"name":"Udveg","start":"13:48","end":"15:07","startHours":13.800130225735614,"endHours":15.122674627369008,"quality":"inauspicious"},{"name":"Chala","start":"15:07","end":"16:27","startHours":15.122674627369008,"endHours":16.445219029002402,"quality":"neutral"},{"name":"Labha","start":"16:27","end":"17:46","startHours":16.445219029002402,"endHours":17.767763430635796,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:46","end":"19:27","startHours":17.767763430635796,"endHours":19.445219029002402,"quality":"inauspicious"},{"name":"Chala","start":"19:27","end":"21:07","startHours":19.445219029002402,"endHours":21.12267462736901,"quality":"neutral"},{"name":"Labha","start":"21:07","end":"22:48","startHours":21.12267462736901,"endHours":22.800130225735614,"quality":"auspicious"},{"name":"Amṛta","start":"22:48","end":"00:29","startHours":22.800130225735614,"endHours":24.47758582410222,"quality":"auspicious"},{"name":"Kāla","start":"00:29","end":"02:09","startHours":24.47758582410222,"endHours":26.155041422468827,"quality":"inauspicious"},{"name":"Śubha","start":"02:09","end":"03:50","startHours":26.155041422468827,"endHours":27.832497020835433,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:31","startHours":27.832497020835433,"endHours":29.50995261920204,"quality":"inauspicious"},{"name":"Udveg","start":"05:31","end":"07:11","startHours":29.50995261920204,"endHours":31.187408217568645,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1874082175686445,"endHours":8.187408217568645,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.187408217568645,"endHours":9.187408217568645,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.187408217568645,"endHours":10.187408217568645,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.187408217568645,"endHours":11.187408217568645,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.187408217568645,"endHours":12.187408217568645,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.187408217568645,"endHours":13.187408217568645,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.187408217568645,"endHours":14.187408217568645,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.187408217568645,"endHours":15.187408217568645,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.187408217568645,"endHours":16.187408217568645,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.187408217568645,"endHours":17.187408217568645,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.187408217568645,"endHours":18.187408217568645,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.187408217568645,"endHours":19.187408217568645,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.187408217568645,"endHours":20.187408217568645,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.187408217568645,"endHours":21.187408217568645,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.187408217568645,"endHours":22.187408217568645,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.187408217568645,"endHours":23.187408217568645,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.187408217568645,"endHours":24.187408217568645,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.187408217568645,"endHours":25.187408217568645,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.187408217568645,"endHours":26.187408217568645,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.187408217568645,"endHours":27.187408217568645,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.187408217568645,"endHours":28.187408217568645,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.187408217568645,"endHours":29.187408217568645,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.187408217568645,"endHours":30.187408217568645,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.187408217568645,"endHours":31.187408217568645,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.24766857360989,"eotMinutes":-9.349949446133257,"ayanamsa":24.1329}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pañcamī · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"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_ingress":"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_ingress":"Makara"},"precedence":2}],"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":"Dedicated festival walk for Makara Saṅkrānti (Uttarāyaṇa) · Pongal / Thai Pongal is not live yet; 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 15, 2020 CE · Mathurā · Vidhyamitra","description":"January 15, 2020 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 07:11, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2020-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2020-01-15","sa":"https://sa.vidhyamitra.com/city/mathura/2020-01-15","hi":"https://hi.vidhyamitra.com/city/mathura/2020-01-15","x-default":"https://vidhyamitra.com/city/mathura/2020-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-24T22:16:30.750Z","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":"2026-08-24T22:16:30.750Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-24T22:16:30.750Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}