{"id":"vidhyamitra:city-day:mathura:2091-03-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2091-03-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-03-03","date_display":"March 3, 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":3,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484843.770833,"kali_year":5192,"ahargana":1896378.2708,"sun":{"sidereal_longitude":317.521,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":102.3027,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.7817,"elapsed_within_tithi_degrees":0.7817},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":102.3027,"elapsed_within_degrees":8.9694},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.8237},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":3,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484843.770833,"ahargana":1896378.2708,"kali_year":5192,"ayanamsa_lahiri":25.1266,"grahas":{"sun":{"sidereal_longitude":317.577052,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":101.68445200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":-2.7965},"mars":{"sidereal_longitude":141.518552,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":334.2344519999999,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":260.04195200000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":280.039852,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":52.792651999999975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":140.7532,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.7532,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"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":3,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484843.770833,"kali_year":5192,"ahargana":1896378.2708,"sun":{"sidereal_longitude":317.521,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":102.3027,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.7817,"elapsed_within_tithi_degrees":0.7817},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":102.3027,"elapsed_within_degrees":8.9694},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.8237},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.797,"elongation":144.782},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.797,"opposition_distance":35.218}},"eclipse_window_40days":[{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":-1.141,"elongation":0.03}]},"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":"06:42","sunsetLocal":"18:22","solarNoonLocal":"12:32","dayLengthHours":11.652529915896654,"dayLengthDisplay":"11 Hours 39 Mins 09 Secs","nightLengthDisplay":"12 Hours 20 Mins 51 Secs","moonriseLocal":"15:25","moonsetLocal":"04:51","rahuKala":{"name":"Rāhu Kāla","start":"09:37","end":"11:05","startHours":9.619530520961845,"endHours":11.076096760448927,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:59","end":"15:27","startHours":13.98922923942309,"endHours":15.445795478910174,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:42","end":"08:10","startHours":6.706398041987682,"endHours":8.162964281474764,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:26","end":"09:49","startHours":9.425321689030234,"endHours":9.813739352893457,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:30","startHours":7.191920121816709,"endHours":7.502654252907287,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:55","startHours":12.144245336072787,"endHours":12.921080663799232,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:09","end":"05:56","startHours":5.152727386534795,"endHours":5.929562714261238,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:44","end":"06:42","startHours":5.735353882329627,"endHours":6.706398041987682,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:15","startHours":14.474751319252118,"endHours":15.251586646978561,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:10","end":"18:34","startHours":18.158927957884337,"endHours":18.558927957884336,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:22","end":"18:51","startHours":18.358927957884337,"endHours":18.844450037713365,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:07","end":"19:52","startHours":18.108927957884337,"endHours":19.858927957884337,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:55","startHours":24.144245336072785,"endHours":24.92108066379923,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:42","end":"08:10","startHours":6.706398041987682,"endHours":8.162964281474764,"quality":"inauspicious"},{"name":"Śubha","start":"08:10","end":"09:37","startHours":8.162964281474764,"endHours":9.619530520961845,"quality":"auspicious"},{"name":"Roga","start":"09:37","end":"11:05","startHours":9.619530520961845,"endHours":11.076096760448927,"quality":"inauspicious"},{"name":"Udveg","start":"11:05","end":"12:32","startHours":11.076096760448927,"endHours":12.532662999936008,"quality":"inauspicious"},{"name":"Chala","start":"12:32","end":"13:59","startHours":12.532662999936008,"endHours":13.98922923942309,"quality":"neutral"},{"name":"Labha","start":"13:59","end":"15:27","startHours":13.98922923942309,"endHours":15.445795478910174,"quality":"auspicious"},{"name":"Amṛta","start":"15:27","end":"16:54","startHours":15.445795478910174,"endHours":16.902361718397255,"quality":"auspicious"},{"name":"Kāla","start":"16:54","end":"18:22","startHours":16.902361718397255,"endHours":18.358927957884337,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:22","end":"19:54","startHours":18.358927957884337,"endHours":19.902361718397255,"quality":"auspicious"},{"name":"Amṛta","start":"19:54","end":"21:27","startHours":19.902361718397255,"endHours":21.445795478910174,"quality":"auspicious"},{"name":"Kāla","start":"21:27","end":"22:59","startHours":21.445795478910174,"endHours":22.98922923942309,"quality":"inauspicious"},{"name":"Śubha","start":"22:59","end":"00:32","startHours":22.98922923942309,"endHours":24.532662999936008,"quality":"auspicious"},{"name":"Roga","start":"00:32","end":"02:05","startHours":24.532662999936008,"endHours":26.076096760448927,"quality":"inauspicious"},{"name":"Udveg","start":"02:05","end":"03:37","startHours":26.076096760448927,"endHours":27.619530520961845,"quality":"inauspicious"},{"name":"Chala","start":"03:37","end":"05:10","startHours":27.619530520961845,"endHours":29.162964281474764,"quality":"neutral"},{"name":"Labha","start":"05:10","end":"06:42","startHours":29.162964281474764,"endHours":30.706398041987683,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.706398041987682,"endHours":7.706398041987682,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.706398041987682,"endHours":8.706398041987683,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.706398041987683,"endHours":9.706398041987683,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.706398041987683,"endHours":10.706398041987683,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.706398041987683,"endHours":11.706398041987683,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.706398041987683,"endHours":12.706398041987683,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.706398041987683,"endHours":13.706398041987683,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.706398041987683,"endHours":14.706398041987683,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.706398041987683,"endHours":15.706398041987683,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.706398041987683,"endHours":16.706398041987683,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.706398041987683,"endHours":17.706398041987683,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.706398041987683,"endHours":18.706398041987683,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.706398041987683,"endHours":19.706398041987683,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.706398041987683,"endHours":20.706398041987683,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.706398041987683,"endHours":21.706398041987683,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.706398041987683,"endHours":22.706398041987683,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.706398041987683,"endHours":23.706398041987683,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.706398041987683,"endHours":24.706398041987683,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.706398041987683,"endHours":25.706398041987683,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.706398041987683,"endHours":26.706398041987683,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.706398041987683,"endHours":27.706398041987683,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.706398041987683,"endHours":28.706398041987683,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.706398041987683,"endHours":29.706398041987683,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.706398041987683,"endHours":30.706398041987683,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-6.7911987069695,"eotMinutes":-12.654579996160596,"ayanamsa":25.1266}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Trayodaśī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 March 3, 2091 CE · Mathurā · Vidhyamitra","description":"March 3, 2091 CE for Mathurā: Śukla Trayodaśī, sūryodaya 06:42, sūryāsta 18:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2091-03-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2091-03-03","sa":"https://sa.vidhyamitra.com/city/mathura/2091-03-03","hi":"https://hi.vidhyamitra.com/city/mathura/2091-03-03","x-default":"https://vidhyamitra.com/city/mathura/2091-03-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:11:29.513Z","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":"2026-05-14T12:11:29.513Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:11:29.513Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}