{"id":"vidhyamitra:city-day:mathura:1964-12-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1964-12-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-12-06","date_display":"December 6, 1964 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":1964,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438735.770833,"kali_year":5066,"ahargana":1850270.2708,"sun":{"sidereal_longitude":230.2229,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":254.4646,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.2416,"elapsed_within_tithi_degrees":0.2416},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":254.4646,"elapsed_within_degrees":1.1312},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":124.6875},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":1964,"month":12,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438735.770833,"ahargana":1850270.2708,"kali_year":5066,"ayanamsa_lahiri":23.3631,"grahas":{"sun":{"sidereal_longitude":230.596717,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":252.10551699999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":-0.8337},"mars":{"sidereal_longitude":141.502617,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":251.35561700000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":25.475517000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":200.70281699999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":306.67041700000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":63.7769,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":243.7769,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":"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":1964,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438735.770833,"kali_year":5066,"ahargana":1850270.2708,"sun":{"sidereal_longitude":230.2229,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":254.4646,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.2416,"elapsed_within_tithi_degrees":0.2416},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":254.4646,"elapsed_within_degrees":1.1312},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":124.6875},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.834,"elongation":24.242},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.834,"opposition_distance":155.758}},"eclipse_window_40days":[{"offset_days":-2,"type":"solar","occurs":true,"moon_latitude":1.133,"elongation":1.103},{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":-0.087,"opposition_distance":1.579}]},"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":"06:57","sunsetLocal":"17:26","solarNoonLocal":"12:11","dayLengthHours":10.480967835646858,"dayLengthDisplay":"10 Hours 28 Mins 51 Secs","nightLengthDisplay":"13 Hours 31 Mins 09 Secs","moonriseLocal":"08:26","moonsetLocal":"18:48","rahuKala":{"name":"Rāhu Kāla","start":"16:07","end":"17:26","startHours":16.11640161378838,"endHours":17.426522593244236,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:11","end":"13:30","startHours":12.186038675420807,"endHours":13.496159654876664,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:48","end":"16:07","startHours":14.80628063433252,"endHours":16.11640161378838,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:44","startHours":9.391113919248312,"endHours":9.740479513769873,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.38226175074933,"endHours":7.66175422636658,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:32","startHours":11.836673080899246,"endHours":12.535404269942369,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:33","end":"06:15","startHours":5.54809237951113,"endHours":6.2468235685542535,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:04","end":"06:57","startHours":6.072140771293473,"endHours":6.945554757597377,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:38","startHours":13.932866648028616,"endHours":14.631597837071741,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.226522593244237,"endHours":17.626522593244236,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.426522593244236,"endHours":17.863229586396187,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.176522593244236,"endHours":18.926522593244236,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:32","startHours":23.836673080899246,"endHours":24.53540426994237,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:57","end":"08:15","startHours":6.945554757597377,"endHours":8.255675737053235,"quality":"inauspicious"},{"name":"Chala","start":"08:15","end":"09:34","startHours":8.255675737053235,"endHours":9.565796716509091,"quality":"neutral"},{"name":"Labha","start":"09:34","end":"10:53","startHours":9.565796716509091,"endHours":10.875917695964949,"quality":"auspicious"},{"name":"Amṛta","start":"10:53","end":"12:11","startHours":10.875917695964949,"endHours":12.186038675420807,"quality":"auspicious"},{"name":"Kāla","start":"12:11","end":"13:30","startHours":12.186038675420807,"endHours":13.496159654876664,"quality":"inauspicious"},{"name":"Śubha","start":"13:30","end":"14:48","startHours":13.496159654876664,"endHours":14.80628063433252,"quality":"auspicious"},{"name":"Roga","start":"14:48","end":"16:07","startHours":14.80628063433252,"endHours":16.11640161378838,"quality":"inauspicious"},{"name":"Udveg","start":"16:07","end":"17:26","startHours":16.11640161378838,"endHours":17.426522593244236,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:26","end":"19:07","startHours":17.426522593244236,"endHours":19.11640161378838,"quality":"auspicious"},{"name":"Roga","start":"19:07","end":"20:48","startHours":19.11640161378838,"endHours":20.806280634332524,"quality":"inauspicious"},{"name":"Udveg","start":"20:48","end":"22:30","startHours":20.806280634332524,"endHours":22.496159654876664,"quality":"inauspicious"},{"name":"Chala","start":"22:30","end":"00:11","startHours":22.496159654876664,"endHours":24.186038675420807,"quality":"neutral"},{"name":"Labha","start":"00:11","end":"01:53","startHours":24.186038675420807,"endHours":25.87591769596495,"quality":"auspicious"},{"name":"Amṛta","start":"01:53","end":"03:34","startHours":25.87591769596495,"endHours":27.56579671650909,"quality":"auspicious"},{"name":"Kāla","start":"03:34","end":"05:15","startHours":27.56579671650909,"endHours":29.255675737053235,"quality":"inauspicious"},{"name":"Śubha","start":"05:15","end":"06:57","startHours":29.255675737053235,"endHours":30.945554757597378,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.945554757597377,"endHours":7.945554757597377,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.945554757597377,"endHours":8.945554757597378,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.945554757597378,"endHours":9.945554757597378,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.945554757597378,"endHours":10.945554757597378,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.945554757597378,"endHours":11.945554757597378,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.945554757597378,"endHours":12.945554757597378,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.945554757597378,"endHours":13.945554757597378,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.945554757597378,"endHours":14.945554757597378,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.945554757597378,"endHours":15.945554757597378,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.945554757597378,"endHours":16.945554757597378,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.945554757597378,"endHours":17.945554757597378,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.945554757597378,"endHours":18.945554757597378,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.945554757597378,"endHours":19.945554757597378,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.945554757597378,"endHours":20.945554757597378,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.945554757597378,"endHours":21.945554757597378,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.945554757597378,"endHours":22.945554757597378,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.945554757597378,"endHours":23.945554757597378,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.945554757597378,"endHours":24.945554757597378,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.945554757597378,"endHours":25.945554757597378,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.945554757597378,"endHours":26.945554757597378,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.945554757597378,"endHours":27.945554757597378,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.945554757597378,"endHours":28.945554757597378,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.945554757597378,"endHours":29.945554757597378,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.945554757597378,"endHours":30.945554757597378,"planetary_lord":"Jupiter"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"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":-22.472998631959847,"eotMinutes":8.142879474751563,"ayanamsa":23.3631}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Tṛtīyā · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"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 6, 1964 CE · Mathurā · Vidhyamitra","description":"December 6, 1964 CE for Mathurā: Śukla Tṛtīyā, sūryodaya 06:57, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1964-12-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1964-12-06","sa":"https://sa.vidhyamitra.com/city/mathura/1964-12-06","hi":"https://hi.vidhyamitra.com/city/mathura/1964-12-06","x-default":"https://vidhyamitra.com/city/mathura/1964-12-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:52:06.046Z","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":"2026-05-14T14:52:06.046Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:52:06.046Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}