{"id":"vidhyamitra:city-day:mathura:1909-12-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1909-12-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1909-12-05","date_display":"December 5, 1909 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":1909,"month":12,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2418645.770833,"kali_year":5011,"ahargana":1830180.2708,"sun":{"sidereal_longitude":229.4366,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":142.0864,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":272.6497,"elapsed_within_tithi_degrees":8.6497},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":142.0864,"elapsed_within_degrees":8.7531},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":11.523},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":1909,"month":12,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2418645.770833,"ahargana":1830180.2708,"kali_year":5011,"ayanamsa_lahiri":22.5947,"grahas":{"sun":{"sidereal_longitude":229.68590300000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":143.883303,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false,"latitude":4.4899},"mars":{"sidereal_longitude":343.771503,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":231.88230299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":168.72170299999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":278.18770300000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":355.127203,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":48.2418,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":228.2418,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":1909,"month":12,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2418645.770833,"kali_year":5011,"ahargana":1830180.2708,"sun":{"sidereal_longitude":229.4366,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":142.0864,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":272.6497,"elapsed_within_tithi_degrees":8.6497},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":142.0864,"elapsed_within_degrees":8.7531},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":11.523},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.49,"elongation":87.35},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.49,"opposition_distance":92.65}},"eclipse_window_40days":[{"offset_days":8,"type":"solar","occurs":true,"moon_latitude":-0.931,"elongation":2.139}]},"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":"06:56","sunsetLocal":"17:26","solarNoonLocal":"12:11","dayLengthHours":10.498112366442925,"dayLengthDisplay":"10 Hours 29 Mins 53 Secs","nightLengthDisplay":"13 Hours 30 Mins 07 Secs","moonriseLocal":"00:14","moonsetLocal":"12:41","rahuKala":{"name":"Rāhu Kāla","start":"16:07","end":"17:26","startHours":16.115955748415367,"endHours":17.42821979422073,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:11","end":"13:29","startHours":12.179163610999268,"endHours":13.491427656804635,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:48","end":"16:07","startHours":14.80369170261,"endHours":16.115955748415367,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:44","startHours":9.379666979947823,"endHours":9.729604058829253,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:39","startHours":7.367528776379595,"endHours":7.64747843948474,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:32","startHours":11.829226532117838,"endHours":12.529100689880698,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:32","end":"06:14","startHours":5.530359112252083,"endHours":6.230233270014945,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:03","end":"06:56","startHours":6.05526473057423,"endHours":6.9301074277778065,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:38","startHours":13.928849005406423,"endHours":14.628723163169285,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.22821979422073,"endHours":17.62821979422073,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.42821979422073,"endHours":17.86564114282252,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.17821979422073,"endHours":18.92821979422073,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:32","startHours":23.829226532117836,"endHours":24.5291006898807,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:56","end":"08:15","startHours":6.9301074277778065,"endHours":8.242371473583173,"quality":"inauspicious"},{"name":"Chala","start":"08:15","end":"09:33","startHours":8.242371473583173,"endHours":9.554635519388537,"quality":"neutral"},{"name":"Labha","start":"09:33","end":"10:52","startHours":9.554635519388537,"endHours":10.866899565193904,"quality":"auspicious"},{"name":"Amṛta","start":"10:52","end":"12:11","startHours":10.866899565193904,"endHours":12.179163610999268,"quality":"auspicious"},{"name":"Kāla","start":"12:11","end":"13:29","startHours":12.179163610999268,"endHours":13.491427656804635,"quality":"inauspicious"},{"name":"Śubha","start":"13:29","end":"14:48","startHours":13.491427656804635,"endHours":14.80369170261,"quality":"auspicious"},{"name":"Roga","start":"14:48","end":"16:07","startHours":14.80369170261,"endHours":16.115955748415367,"quality":"inauspicious"},{"name":"Udveg","start":"16:07","end":"17:26","startHours":16.115955748415367,"endHours":17.42821979422073,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:26","end":"19:07","startHours":17.42821979422073,"endHours":19.115955748415367,"quality":"auspicious"},{"name":"Roga","start":"19:07","end":"20:48","startHours":19.115955748415367,"endHours":20.80369170261,"quality":"inauspicious"},{"name":"Udveg","start":"20:48","end":"22:29","startHours":20.80369170261,"endHours":22.491427656804632,"quality":"inauspicious"},{"name":"Chala","start":"22:29","end":"00:11","startHours":22.491427656804632,"endHours":24.179163610999268,"quality":"neutral"},{"name":"Labha","start":"00:11","end":"01:52","startHours":24.179163610999268,"endHours":25.866899565193904,"quality":"auspicious"},{"name":"Amṛta","start":"01:52","end":"03:33","startHours":25.866899565193904,"endHours":27.554635519388537,"quality":"auspicious"},{"name":"Kāla","start":"03:33","end":"05:15","startHours":27.554635519388537,"endHours":29.24237147358317,"quality":"inauspicious"},{"name":"Śubha","start":"05:15","end":"06:56","startHours":29.24237147358317,"endHours":30.930107427777806,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:56","end":"07:56","startHours":6.9301074277778065,"endHours":7.9301074277778065,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:56","end":"08:56","startHours":7.9301074277778065,"endHours":8.930107427777806,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:56","end":"09:56","startHours":8.930107427777806,"endHours":9.930107427777806,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:56","end":"10:56","startHours":9.930107427777806,"endHours":10.930107427777806,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:56","end":"11:56","startHours":10.930107427777806,"endHours":11.930107427777806,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:56","end":"12:56","startHours":11.930107427777806,"endHours":12.930107427777806,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:56","end":"13:56","startHours":12.930107427777806,"endHours":13.930107427777806,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:56","end":"14:56","startHours":13.930107427777806,"endHours":14.930107427777806,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:56","end":"15:56","startHours":14.930107427777806,"endHours":15.930107427777806,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:56","end":"16:56","startHours":15.930107427777806,"endHours":16.930107427777806,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:56","end":"17:56","startHours":16.930107427777806,"endHours":17.930107427777806,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:56","end":"18:56","startHours":17.930107427777806,"endHours":18.930107427777806,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:56","end":"19:56","startHours":18.930107427777806,"endHours":19.930107427777806,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:56","end":"20:56","startHours":19.930107427777806,"endHours":20.930107427777806,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:56","end":"21:56","startHours":20.930107427777806,"endHours":21.930107427777806,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:56","end":"22:56","startHours":21.930107427777806,"endHours":22.930107427777806,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:56","end":"23:56","startHours":22.930107427777806,"endHours":23.930107427777806,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:56","end":"00:56","startHours":23.930107427777806,"endHours":24.930107427777806,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:56","end":"01:56","startHours":24.930107427777806,"endHours":25.930107427777806,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:56","end":"02:56","startHours":25.930107427777806,"endHours":26.930107427777806,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:56","end":"03:56","startHours":26.930107427777806,"endHours":27.930107427777806,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:56","end":"04:56","startHours":27.930107427777806,"endHours":28.930107427777806,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:56","end":"05:56","startHours":28.930107427777806,"endHours":29.930107427777806,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:56","end":"06:56","startHours":29.930107427777806,"endHours":30.930107427777806,"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","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":-22.263299034560262,"eotMinutes":8.555383340043877,"ayanamsa":22.5947}},"calendars":{"vikram_samvat":1966,"vikram_samvatsara":"Dundubhi","saka_samvat":1831,"saka_samvatsara":"Saumya","bengali_samvat":1316,"malayalam_era":1085,"nanakshahi_year":440,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Aṣṭamī · Vikram 1966 Dundubhi · Śaka 1831 Saumya"},"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":"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":[{"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":"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 5, 1909 CE · Mathurā · Vidhyamitra","description":"December 5, 1909 CE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 06:56, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1909-12-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1909-12-05","sa":"https://sa.vidhyamitra.com/city/mathura/1909-12-05","hi":"https://hi.vidhyamitra.com/city/mathura/1909-12-05","x-default":"https://vidhyamitra.com/city/mathura/1909-12-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:58:48.204Z","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":"2026-05-14T14:58:48.204Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:58:48.204Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}