{"id":"vidhyamitra:city-day:mathura:1981-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1981-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-01-13","date_display":"January 13, 1981 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":1981,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444617.770833,"kali_year":5082,"ahargana":1856152.2708,"sun":{"sidereal_longitude":269.1023,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":354.5831,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":85.4807,"elapsed_within_tithi_degrees":1.4807},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":354.5831,"elapsed_within_degrees":7.9164},"yoga":{"number":20,"name":"Śiva","sum_longitude":263.6854},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1981,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444617.770833,"ahargana":1856152.2708,"kali_year":5082,"ayanamsa_lahiri":23.5881,"grahas":{"sun":{"sidereal_longitude":269.18438100000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":354.117681,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":-3.9893},"mars":{"sidereal_longitude":287.036781,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":277.37348099999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":166.62898100000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":248.882381,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":165.93158100000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":112.1203,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":292.1203,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":1981,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444617.770833,"kali_year":5082,"ahargana":1856152.2708,"sun":{"sidereal_longitude":269.1023,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":354.5831,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":85.4807,"elapsed_within_tithi_degrees":1.4807},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":354.5831,"elapsed_within_degrees":7.9164},"yoga":{"number":20,"name":"Śiva","sum_longitude":263.6854},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.989,"elongation":85.481},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.989,"opposition_distance":94.519}},"eclipse_window_40days":[{"offset_days":7,"type":"lunar","occurs":true,"moon_latitude":-1.332,"opposition_distance":1.776}]},"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":"17:45","solarNoonLocal":"12:28","dayLengthHours":10.558911093560944,"dayLengthDisplay":"10 Hours 33 Mins 32 Secs","nightLengthDisplay":"13 Hours 26 Mins 28 Secs","moonriseLocal":"11:50","moonsetLocal":"00:25","rahuKala":{"name":"Rāhu Kāla","start":"15:06","end":"16:26","startHours":15.105413298246463,"endHours":16.42527718494158,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:09","startHours":9.82595775146599,"endHours":11.14582163816111,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:28","end":"13:47","startHours":12.465685524856227,"endHours":13.785549411551344,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.649975899906641,"endHours":10.00193960302534,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:54","startHours":7.626184606974127,"endHours":7.907755569469086,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.113721821737528,"endHours":12.817649227974925,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.778375165600962,"endHours":6.482302571838359,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.306320720279009,"endHours":7.186229978075755,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:56","startHours":14.225504040449717,"endHours":14.929431446687113,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.5451410716367,"endHours":17.945141071636698,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:11","startHours":17.7451410716367,"endHours":18.185095700535072,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.4951410716367,"endHours":19.2451410716367,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.113721821737528,"endHours":24.817649227974925,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:11","end":"08:30","startHours":7.186229978075755,"endHours":8.506093864770872,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:50","startHours":8.506093864770872,"endHours":9.82595775146599,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:09","startHours":9.82595775146599,"endHours":11.14582163816111,"quality":"neutral"},{"name":"Labha","start":"11:09","end":"12:28","startHours":11.14582163816111,"endHours":12.465685524856227,"quality":"auspicious"},{"name":"Amṛta","start":"12:28","end":"13:47","startHours":12.465685524856227,"endHours":13.785549411551344,"quality":"auspicious"},{"name":"Kāla","start":"13:47","end":"15:06","startHours":13.785549411551344,"endHours":15.105413298246463,"quality":"inauspicious"},{"name":"Śubha","start":"15:06","end":"16:26","startHours":15.105413298246463,"endHours":16.42527718494158,"quality":"auspicious"},{"name":"Roga","start":"16:26","end":"17:45","startHours":16.42527718494158,"endHours":17.7451410716367,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:45","end":"19:26","startHours":17.7451410716367,"endHours":19.42527718494158,"quality":"inauspicious"},{"name":"Śubha","start":"19:26","end":"21:06","startHours":19.42527718494158,"endHours":21.10541329824646,"quality":"auspicious"},{"name":"Roga","start":"21:06","end":"22:47","startHours":21.10541329824646,"endHours":22.785549411551344,"quality":"inauspicious"},{"name":"Udveg","start":"22:47","end":"00:28","startHours":22.785549411551344,"endHours":24.465685524856227,"quality":"inauspicious"},{"name":"Chala","start":"00:28","end":"02:09","startHours":24.465685524856227,"endHours":26.14582163816111,"quality":"neutral"},{"name":"Labha","start":"02:09","end":"03:50","startHours":26.14582163816111,"endHours":27.825957751465992,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:30","startHours":27.825957751465992,"endHours":29.50609386477087,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:11","startHours":29.50609386477087,"endHours":31.186229978075755,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.186229978075755,"endHours":8.186229978075755,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.186229978075755,"endHours":9.186229978075755,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.186229978075755,"endHours":10.186229978075755,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.186229978075755,"endHours":11.186229978075755,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.186229978075755,"endHours":12.186229978075755,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.186229978075755,"endHours":13.186229978075755,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.186229978075755,"endHours":14.186229978075755,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.186229978075755,"endHours":15.186229978075755,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.186229978075755,"endHours":16.186229978075755,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.186229978075755,"endHours":17.186229978075755,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.186229978075755,"endHours":18.186229978075755,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.186229978075755,"endHours":19.186229978075755,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.186229978075755,"endHours":20.186229978075755,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.186229978075755,"endHours":21.186229978075755,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.186229978075755,"endHours":22.186229978075755,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.186229978075755,"endHours":23.186229978075755,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.186229978075755,"endHours":24.186229978075755,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.186229978075755,"endHours":25.186229978075755,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.186229978075755,"endHours":26.186229978075755,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.186229978075755,"endHours":27.186229978075755,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.186229978075755,"endHours":28.186229978075755,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.186229978075755,"endHours":29.186229978075755,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.186229978075755,"endHours":30.186229978075755,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.186229978075755,"endHours":31.186229978075755,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.51402002668385,"eotMinutes":-8.635931491373626,"ayanamsa":23.5881}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Aṣṭamī · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","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 13, 1981 CE · Mathurā · Vidhyamitra","description":"January 13, 1981 CE for Mathurā: Śukla Aṣṭamī, sūryodaya 07:11, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1981-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1981-01-13","sa":"https://sa.vidhyamitra.com/city/mathura/1981-01-13","hi":"https://hi.vidhyamitra.com/city/mathura/1981-01-13","x-default":"https://vidhyamitra.com/city/mathura/1981-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:20:05.126Z","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":"2026-05-14T17:20:05.126Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:20:05.126Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}