{"id":"vidhyamitra:city-day:mathura:1981-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1981-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-12-13","date_display":"December 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":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444951.770833,"kali_year":5083,"ahargana":1856486.2708,"sun":{"sidereal_longitude":236.9856,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":79.4444,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":202.4588,"elapsed_within_tithi_degrees":10.4588},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":79.4444,"elapsed_within_degrees":12.7777},"yoga":{"number":24,"name":"Śukla","sum_longitude":316.43},"karana":{"half_tithi_index":33,"name":"Gara"},"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":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444951.770833,"ahargana":1856486.2708,"kali_year":5083,"ayanamsa_lahiri":23.6008,"grahas":{"sun":{"sidereal_longitude":237.34381999999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":81.00382000000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":-1.162},"mars":{"sidereal_longitude":155.21101999999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":238.92941999999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":189.80251999999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":279.3609200000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":176.29422,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":94.4233,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":274.4233,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":1981,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444951.770833,"kali_year":5083,"ahargana":1856486.2708,"sun":{"sidereal_longitude":236.9856,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":79.4444,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":202.4588,"elapsed_within_tithi_degrees":10.4588},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":79.4444,"elapsed_within_degrees":12.7777},"yoga":{"number":24,"name":"Śukla","sum_longitude":316.43},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.162,"elongation":157.541},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.162,"opposition_distance":22.459}},"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":"07:01","sunsetLocal":"17:27","solarNoonLocal":"12:14","dayLengthHours":10.427097218986013,"dayLengthDisplay":"10 Hours 25 Mins 38 Secs","nightLengthDisplay":"13 Hours 34 Mins 22 Secs","moonriseLocal":"18:56","moonsetLocal":"08:42","rahuKala":{"name":"Rāhu Kāla","start":"16:09","end":"17:27","startHours":16.147070619629453,"endHours":17.450457772002704,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:14","end":"13:32","startHours":12.236909162509697,"endHours":13.540296314882948,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:51","end":"16:09","startHours":14.8436834672562,"endHours":16.147070619629453,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.456349904113427,"endHours":9.80391981141296,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:44","startHours":7.457822937141108,"endHours":7.735878862980735,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.889339255210164,"endHours":12.58447906980923,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.6330809238185555,"endHours":6.328220738417623,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:01","startHours":6.154435784767856,"endHours":7.0233605530166905,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.974758699007367,"endHours":14.669898513606435,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.250457772002704,"endHours":17.650457772002703,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.450457772002704,"endHours":17.88492015612712,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.200457772002704,"endHours":18.950457772002704,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.889339255210164,"endHours":24.58447906980923,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:01","end":"08:20","startHours":7.0233605530166905,"endHours":8.326747705389941,"quality":"inauspicious"},{"name":"Chala","start":"08:20","end":"09:38","startHours":8.326747705389941,"endHours":9.630134857763194,"quality":"neutral"},{"name":"Labha","start":"09:38","end":"10:56","startHours":9.630134857763194,"endHours":10.933522010136446,"quality":"auspicious"},{"name":"Amṛta","start":"10:56","end":"12:14","startHours":10.933522010136446,"endHours":12.236909162509697,"quality":"auspicious"},{"name":"Kāla","start":"12:14","end":"13:32","startHours":12.236909162509697,"endHours":13.540296314882948,"quality":"inauspicious"},{"name":"Śubha","start":"13:32","end":"14:51","startHours":13.540296314882948,"endHours":14.8436834672562,"quality":"auspicious"},{"name":"Roga","start":"14:51","end":"16:09","startHours":14.8436834672562,"endHours":16.147070619629453,"quality":"inauspicious"},{"name":"Udveg","start":"16:09","end":"17:27","startHours":16.147070619629453,"endHours":17.450457772002704,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:27","end":"19:09","startHours":17.450457772002704,"endHours":19.147070619629453,"quality":"auspicious"},{"name":"Roga","start":"19:09","end":"20:51","startHours":19.147070619629453,"endHours":20.8436834672562,"quality":"inauspicious"},{"name":"Udveg","start":"20:51","end":"22:32","startHours":20.8436834672562,"endHours":22.540296314882948,"quality":"inauspicious"},{"name":"Chala","start":"22:32","end":"00:14","startHours":22.540296314882948,"endHours":24.236909162509697,"quality":"neutral"},{"name":"Labha","start":"00:14","end":"01:56","startHours":24.236909162509697,"endHours":25.933522010136446,"quality":"auspicious"},{"name":"Amṛta","start":"01:56","end":"03:38","startHours":25.933522010136446,"endHours":27.630134857763196,"quality":"auspicious"},{"name":"Kāla","start":"03:38","end":"05:20","startHours":27.630134857763196,"endHours":29.32674770538994,"quality":"inauspicious"},{"name":"Śubha","start":"05:20","end":"07:01","startHours":29.32674770538994,"endHours":31.02336055301669,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.0233605530166905,"endHours":8.02336055301669,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.02336055301669,"endHours":9.02336055301669,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.02336055301669,"endHours":10.02336055301669,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.02336055301669,"endHours":11.02336055301669,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.02336055301669,"endHours":12.02336055301669,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.02336055301669,"endHours":13.02336055301669,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.02336055301669,"endHours":14.02336055301669,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.02336055301669,"endHours":15.02336055301669,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.02336055301669,"endHours":16.02336055301669,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.02336055301669,"endHours":17.02336055301669,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.02336055301669,"endHours":18.02336055301669,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.02336055301669,"endHours":19.02336055301669,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.02336055301669,"endHours":20.02336055301669,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.02336055301669,"endHours":21.02336055301669,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.02336055301669,"endHours":22.02336055301669,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.02336055301669,"endHours":23.02336055301669,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.02336055301669,"endHours":24.02336055301669,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.02336055301669,"endHours":25.02336055301669,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.02336055301669,"endHours":26.02336055301669,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.02336055301669,"endHours":27.02336055301669,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.02336055301669,"endHours":28.02336055301669,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.02336055301669,"endHours":29.02336055301669,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.02336055301669,"endHours":30.02336055301669,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.02336055301669,"endHours":31.02336055301669,"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.12730302270558,"eotMinutes":5.090650249418121,"ayanamsa":23.6008}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Dvitīyā · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"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 December 13, 1981 CE · Mathurā · Vidhyamitra","description":"December 13, 1981 CE for Mathurā: Kṛṣṇa Dvitīyā, sūryodaya 07:01, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1981-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1981-12-13","sa":"https://sa.vidhyamitra.com/city/mathura/1981-12-13","hi":"https://hi.vidhyamitra.com/city/mathura/1981-12-13","x-default":"https://vidhyamitra.com/city/mathura/1981-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:30:52.295Z","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":"2026-05-14T16:30:52.295Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:30:52.295Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}