{"id":"vidhyamitra:city-day:mathura:1981-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1981-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-09-13","date_display":"September 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":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444860.770833,"kali_year":5083,"ahargana":1856395.2708,"sun":{"sidereal_longitude":145.8959,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":311.0289,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":165.1331,"elapsed_within_tithi_degrees":9.1331},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":311.0289,"elapsed_within_degrees":4.3623},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":96.9248},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444860.770833,"ahargana":1856395.2708,"kali_year":5083,"ayanamsa_lahiri":23.5974,"grahas":{"sun":{"sidereal_longitude":146.57449699999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":312.351497,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":-2.3685},"mars":{"sidereal_longitude":103.57719700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":171.02979700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":170.833797,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":186.77119700000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":166.12749699999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":99.245,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":279.245,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444860.770833,"kali_year":5083,"ahargana":1856395.2708,"sun":{"sidereal_longitude":145.8959,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":311.0289,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":165.1331,"elapsed_within_tithi_degrees":9.1331},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":311.0289,"elapsed_within_degrees":4.3623},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":96.9248},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.368,"elongation":165.133},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.368,"opposition_distance":14.867}},"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":"06:03","sunsetLocal":"18:26","solarNoonLocal":"12:15","dayLengthHours":12.396193237774881,"dayLengthDisplay":"12 Hours 23 Mins 46 Secs","nightLengthDisplay":"11 Hours 36 Mins 14 Secs","moonriseLocal":"17:35","moonsetLocal":"05:01","rahuKala":{"name":"Rāhu Kāla","start":"16:53","end":"18:26","startHours":16.891094615334477,"endHours":18.44061877005634,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:15","end":"13:48","startHours":12.242522151168899,"endHours":13.792046305890757,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:20","end":"16:53","startHours":15.341570460612619,"endHours":16.891094615334477,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.936870621095597,"endHours":9.350077062354758,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:53","startHours":6.560933583855411,"endHours":6.891498736862741,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:39","startHours":11.829315709909736,"endHours":12.655728592428062,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:13","startHours":4.391599767244807,"endHours":5.218012649763132,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:01","end":"06:03","startHours":5.0114094291335505,"endHours":6.0444255322814575,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:08","startHours":14.308554357464711,"endHours":15.134967239983036,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.24061877005634,"endHours":18.64061877005634,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:57","startHours":18.44061877005634,"endHours":18.957126821630293,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.19061877005634,"endHours":19.94061877005634,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:39","startHours":23.829315709909736,"endHours":24.655728592428062,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:03","end":"07:36","startHours":6.0444255322814575,"endHours":7.593949687003318,"quality":"inauspicious"},{"name":"Chala","start":"07:36","end":"09:09","startHours":7.593949687003318,"endHours":9.143473841725179,"quality":"neutral"},{"name":"Labha","start":"09:09","end":"10:42","startHours":9.143473841725179,"endHours":10.692997996447037,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:15","startHours":10.692997996447037,"endHours":12.242522151168899,"quality":"auspicious"},{"name":"Kāla","start":"12:15","end":"13:48","startHours":12.242522151168899,"endHours":13.792046305890757,"quality":"inauspicious"},{"name":"Śubha","start":"13:48","end":"15:20","startHours":13.792046305890757,"endHours":15.341570460612619,"quality":"auspicious"},{"name":"Roga","start":"15:20","end":"16:53","startHours":15.341570460612619,"endHours":16.891094615334477,"quality":"inauspicious"},{"name":"Udveg","start":"16:53","end":"18:26","startHours":16.891094615334477,"endHours":18.44061877005634,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:26","end":"19:53","startHours":18.44061877005634,"endHours":19.89109461533448,"quality":"auspicious"},{"name":"Roga","start":"19:53","end":"21:20","startHours":19.89109461533448,"endHours":21.34157046061262,"quality":"inauspicious"},{"name":"Udveg","start":"21:20","end":"22:48","startHours":21.34157046061262,"endHours":22.792046305890757,"quality":"inauspicious"},{"name":"Chala","start":"22:48","end":"00:15","startHours":22.792046305890757,"endHours":24.2425221511689,"quality":"neutral"},{"name":"Labha","start":"00:15","end":"01:42","startHours":24.2425221511689,"endHours":25.69299799644704,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"03:09","startHours":25.69299799644704,"endHours":27.14347384172518,"quality":"auspicious"},{"name":"Kāla","start":"03:09","end":"04:36","startHours":27.14347384172518,"endHours":28.593949687003317,"quality":"inauspicious"},{"name":"Śubha","start":"04:36","end":"06:03","startHours":28.593949687003317,"endHours":30.04442553228146,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.0444255322814575,"endHours":7.0444255322814575,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.0444255322814575,"endHours":8.044425532281458,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.044425532281458,"endHours":9.044425532281458,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.044425532281458,"endHours":10.044425532281458,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.044425532281458,"endHours":11.044425532281458,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.044425532281458,"endHours":12.044425532281458,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.044425532281458,"endHours":13.044425532281458,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.044425532281458,"endHours":14.044425532281458,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.044425532281458,"endHours":15.044425532281458,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.044425532281458,"endHours":16.04442553228146,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.04442553228146,"endHours":17.04442553228146,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.04442553228146,"endHours":18.04442553228146,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.04442553228146,"endHours":19.04442553228146,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.04442553228146,"endHours":20.04442553228146,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.04442553228146,"endHours":21.04442553228146,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.04442553228146,"endHours":22.04442553228146,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.04442553228146,"endHours":23.04442553228146,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.04442553228146,"endHours":24.04442553228146,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.04442553228146,"endHours":25.04442553228146,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.04442553228146,"endHours":26.04442553228146,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.04442553228146,"endHours":27.04442553228146,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.04442553228146,"endHours":28.04442553228146,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.04442553228146,"endHours":29.04442553228146,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.04442553228146,"endHours":30.04442553228146,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":3.892808873060617,"eotMinutes":4.753870929866006,"ayanamsa":23.5974}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturdaśī · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 September 13, 1981 CE · Mathurā · Vidhyamitra","description":"September 13, 1981 CE for Mathurā: Śukla Caturdaśī, sūryodaya 06:03, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1981-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1981-09-13","sa":"https://sa.vidhyamitra.com/city/mathura/1981-09-13","hi":"https://hi.vidhyamitra.com/city/mathura/1981-09-13","x-default":"https://vidhyamitra.com/city/mathura/1981-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:37:27.557Z","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":"2026-05-14T11:37:27.557Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:37:27.557Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}