{"id":"vidhyamitra:city-day:varanasi:2091-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2091-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-12-04","date_display":"December 4, 2091 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":2091,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485119.770833,"kali_year":5193,"ahargana":1896654.2708,"sun":{"sidereal_longitude":226.2732,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":140.787,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":274.5138,"elapsed_within_tithi_degrees":10.5138},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.787,"elapsed_within_degrees":7.4537},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.0602},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2091,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485119.770833,"ahargana":1896654.2708,"kali_year":5193,"ayanamsa_lahiri":25.1371,"grahas":{"sun":{"sidereal_longitude":226.97900700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":138.09560699999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":1.1376},"mars":{"sidereal_longitude":257.36830699999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":205.29830700000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":266.67320700000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":259.071107,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":72.03830700000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":126.1294,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":306.1294,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2091,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485119.770833,"kali_year":5193,"ahargana":1896654.2708,"sun":{"sidereal_longitude":226.2732,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":140.787,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":274.5138,"elapsed_within_tithi_degrees":10.5138},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.787,"elapsed_within_degrees":7.4537},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.0602},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.138,"elongation":85.486},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.138,"opposition_distance":94.514}},"eclipse_window_40days":[]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:30","sunsetLocal":"17:09","solarNoonLocal":"11:49","dayLengthHours":10.647768677336117,"dayLengthDisplay":"10 Hours 38 Mins 52 Secs","nightLengthDisplay":"13 Hours 21 Mins 08 Secs","moonriseLocal":"23:38","moonsetLocal":"12:09","rahuKala":{"name":"Rāhu Kāla","start":"14:29","end":"15:49","startHours":14.48100176043231,"endHours":15.811972845099326,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:09","end":"10:29","startHours":9.157117421764251,"endHours":10.488088506431268,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:49","end":"13:09","startHours":11.81905959109828,"endHours":13.150030675765297,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:20","startHours":8.979654610475317,"endHours":9.334580233053188,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:56","end":"07:13","startHours":6.938832280652561,"endHours":7.222772778714858,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:10","startHours":11.464133968520411,"endHours":12.17398521367615,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:47","startHours":5.075472762118741,"endHours":5.785324007274482,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:36","end":"06:30","startHours":5.607861195985547,"endHours":6.495175252430223,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:36","end":"14:18","startHours":13.593687703987634,"endHours":14.303538949143375,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:57","end":"17:21","startHours":16.94294392976634,"endHours":17.34294392976634,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:09","end":"17:35","startHours":17.14294392976634,"endHours":17.58660095798868,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:54","end":"18:39","startHours":16.89294392976634,"endHours":18.64294392976634,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:10","startHours":23.46413396852041,"endHours":24.17398521367615,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:30","end":"07:50","startHours":6.495175252430223,"endHours":7.826146337097238,"quality":"inauspicious"},{"name":"Udveg","start":"07:50","end":"09:09","startHours":7.826146337097238,"endHours":9.157117421764251,"quality":"inauspicious"},{"name":"Chala","start":"09:09","end":"10:29","startHours":9.157117421764251,"endHours":10.488088506431268,"quality":"neutral"},{"name":"Labha","start":"10:29","end":"11:49","startHours":10.488088506431268,"endHours":11.81905959109828,"quality":"auspicious"},{"name":"Amṛta","start":"11:49","end":"13:09","startHours":11.81905959109828,"endHours":13.150030675765297,"quality":"auspicious"},{"name":"Kāla","start":"13:09","end":"14:29","startHours":13.150030675765297,"endHours":14.48100176043231,"quality":"inauspicious"},{"name":"Śubha","start":"14:29","end":"15:49","startHours":14.48100176043231,"endHours":15.811972845099326,"quality":"auspicious"},{"name":"Roga","start":"15:49","end":"17:09","startHours":15.811972845099326,"endHours":17.14294392976634,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:09","end":"18:49","startHours":17.14294392976634,"endHours":18.811972845099326,"quality":"inauspicious"},{"name":"Śubha","start":"18:49","end":"20:29","startHours":18.811972845099326,"endHours":20.48100176043231,"quality":"auspicious"},{"name":"Roga","start":"20:29","end":"22:09","startHours":20.48100176043231,"endHours":22.150030675765294,"quality":"inauspicious"},{"name":"Udveg","start":"22:09","end":"23:49","startHours":22.150030675765294,"endHours":23.81905959109828,"quality":"inauspicious"},{"name":"Chala","start":"23:49","end":"01:29","startHours":23.81905959109828,"endHours":25.488088506431268,"quality":"neutral"},{"name":"Labha","start":"01:29","end":"03:09","startHours":25.488088506431268,"endHours":27.15711742176425,"quality":"auspicious"},{"name":"Amṛta","start":"03:09","end":"04:50","startHours":27.15711742176425,"endHours":28.826146337097235,"quality":"auspicious"},{"name":"Kāla","start":"04:50","end":"06:30","startHours":28.826146337097235,"endHours":30.495175252430222,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.495175252430223,"endHours":7.495175252430223,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.495175252430223,"endHours":8.495175252430222,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.495175252430222,"endHours":9.495175252430222,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.495175252430222,"endHours":10.495175252430222,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.495175252430222,"endHours":11.495175252430222,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.495175252430222,"endHours":12.495175252430222,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.495175252430222,"endHours":13.495175252430222,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.495175252430222,"endHours":14.495175252430222,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.495175252430222,"endHours":15.495175252430222,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.495175252430222,"endHours":16.495175252430222,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.495175252430222,"endHours":17.495175252430222,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.495175252430222,"endHours":18.495175252430222,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.495175252430222,"endHours":19.495175252430222,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.495175252430222,"endHours":20.495175252430222,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.495175252430222,"endHours":21.495175252430222,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.495175252430222,"endHours":22.495175252430222,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.495175252430222,"endHours":23.495175252430222,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.495175252430222,"endHours":24.495175252430222,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.495175252430222,"endHours":25.495175252430222,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.495175252430222,"endHours":26.495175252430222,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.495175252430222,"endHours":27.495175252430222,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.495175252430222,"endHours":28.495175252430222,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.495175252430222,"endHours":29.495175252430222,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.495175252430222,"endHours":30.495175252430222,"planetary_lord":"Saturn"}],"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":"North","anandadiYoga":{"name":"Siddhi","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":-22.24168747349565,"eotMinutes":8.960824534103129,"ayanamsa":25.1371}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Aṣṭamī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[{"id":"kalabhairava-ashtami","name":"Kālabhairava Aṣṭamī","name_sanskrit":"कालभैरव अष्टमी","tradition":"Shaiva","associated_deity":"Kālabhairava (fierce Śiva)","significance":"Kālabhairava's manifestation; Kāśī-kṣetrapāla.","vrata":true,"detection":{"tithi_number":23,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"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":"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 4, 2091 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"December 4, 2091 CE for Vārāṇasī (Kāśī): Kṛṣṇa Aṣṭamī, sūryodaya 06:30, sūryāsta 17:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2091-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2091-12-04","sa":"https://sa.vidhyamitra.com/city/varanasi/2091-12-04","hi":"https://hi.vidhyamitra.com/city/varanasi/2091-12-04","x-default":"https://vidhyamitra.com/city/varanasi/2091-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:58:51.966Z","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":"2026-05-14T15:58:51.966Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:58:51.966Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}