{"id":"vidhyamitra:city-day:mathura:2100-10-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2100-10-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2100-10-07","date_display":"October 7, 2100 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":2100,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488348.770833,"kali_year":5202,"ahargana":1899883.2708,"sun":{"sidereal_longitude":167.6253,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":210.8984,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.2731,"elapsed_within_tithi_degrees":7.2731},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":210.8984,"elapsed_within_degrees":10.8984},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.5236},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2100,"month":10,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488348.770833,"ahargana":1899883.2708,"kali_year":5202,"ayanamsa_lahiri":25.2606,"grahas":{"sun":{"sidereal_longitude":168.61463600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":214.86033599999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":-4.3633},"mars":{"sidereal_longitude":168.59723600000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":172.28433599999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":182.985236,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":132.61733600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":181.095636,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":315.0414,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":135.0414,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2100,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488348.770833,"kali_year":5202,"ahargana":1899883.2708,"sun":{"sidereal_longitude":167.6253,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":210.8984,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.2731,"elapsed_within_tithi_degrees":7.2731},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":210.8984,"elapsed_within_degrees":10.8984},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.5236},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.363,"elongation":43.273},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.363,"opposition_distance":136.727}},"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":"06:14","sunsetLocal":"17:59","solarNoonLocal":"12:06","dayLengthHours":11.74480426122501,"dayLengthDisplay":"11 Hours 44 Mins 41 Secs","nightLengthDisplay":"12 Hours 15 Mins 19 Secs","moonriseLocal":"09:53","moonsetLocal":"20:30","rahuKala":{"name":"Rāhu Kāla","start":"13:34","end":"15:03","startHours":13.573874695836132,"endHours":15.041975228489257,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:14","end":"07:42","startHours":6.233372032570499,"endHours":7.701472565223625,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:10","end":"10:38","startHours":9.169573097876752,"endHours":10.637673630529878,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.973826360189669,"endHours":9.365319835563835,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:02","startHours":6.722738876788208,"endHours":7.035933657087542,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:30","startHours":11.714280687808838,"endHours":12.497267638557172,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:40","end":"05:27","startHours":4.667398131073831,"endHours":5.450385081822166,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:15","end":"06:14","startHours":5.254638344135082,"endHours":6.233372032570499,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:51","startHours":14.06324154005384,"endHours":14.846228490802174,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.77817629379551,"endHours":18.17817629379551,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:28","startHours":17.97817629379551,"endHours":18.46754313801322,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.72817629379551,"endHours":19.47817629379551,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:30","startHours":23.71428068780884,"endHours":24.497267638557172,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:14","end":"07:42","startHours":6.233372032570499,"endHours":7.701472565223625,"quality":"auspicious"},{"name":"Roga","start":"07:42","end":"09:10","startHours":7.701472565223625,"endHours":9.169573097876752,"quality":"inauspicious"},{"name":"Udveg","start":"09:10","end":"10:38","startHours":9.169573097876752,"endHours":10.637673630529878,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:06","startHours":10.637673630529878,"endHours":12.105774163183003,"quality":"neutral"},{"name":"Labha","start":"12:06","end":"13:34","startHours":12.105774163183003,"endHours":13.573874695836132,"quality":"auspicious"},{"name":"Amṛta","start":"13:34","end":"15:03","startHours":13.573874695836132,"endHours":15.041975228489257,"quality":"auspicious"},{"name":"Kāla","start":"15:03","end":"16:31","startHours":15.041975228489257,"endHours":16.51007576114238,"quality":"inauspicious"},{"name":"Śubha","start":"16:31","end":"17:59","startHours":16.51007576114238,"endHours":17.97817629379551,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:59","end":"19:31","startHours":17.97817629379551,"endHours":19.510075761142385,"quality":"auspicious"},{"name":"Kāla","start":"19:31","end":"21:03","startHours":19.510075761142385,"endHours":21.041975228489257,"quality":"inauspicious"},{"name":"Śubha","start":"21:03","end":"22:34","startHours":21.041975228489257,"endHours":22.573874695836132,"quality":"auspicious"},{"name":"Roga","start":"22:34","end":"00:06","startHours":22.573874695836132,"endHours":24.105774163183007,"quality":"inauspicious"},{"name":"Udveg","start":"00:06","end":"01:38","startHours":24.105774163183007,"endHours":25.63767363052988,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:10","startHours":25.63767363052988,"endHours":27.169573097876754,"quality":"neutral"},{"name":"Labha","start":"03:10","end":"04:42","startHours":27.169573097876754,"endHours":28.701472565223625,"quality":"auspicious"},{"name":"Amṛta","start":"04:42","end":"06:14","startHours":28.701472565223625,"endHours":30.2333720325705,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:14","end":"07:14","startHours":6.233372032570499,"endHours":7.233372032570499,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:14","end":"08:14","startHours":7.233372032570499,"endHours":8.2333720325705,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:14","end":"09:14","startHours":8.2333720325705,"endHours":9.2333720325705,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:14","end":"10:14","startHours":9.2333720325705,"endHours":10.2333720325705,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:14","end":"11:14","startHours":10.2333720325705,"endHours":11.2333720325705,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:14","end":"12:14","startHours":11.2333720325705,"endHours":12.2333720325705,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:14","end":"13:14","startHours":12.2333720325705,"endHours":13.2333720325705,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:14","end":"14:14","startHours":13.2333720325705,"endHours":14.2333720325705,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:14","end":"15:14","startHours":14.2333720325705,"endHours":15.2333720325705,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:14","end":"16:14","startHours":15.2333720325705,"endHours":16.2333720325705,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:14","end":"17:14","startHours":16.2333720325705,"endHours":17.2333720325705,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:14","end":"18:14","startHours":17.2333720325705,"endHours":18.2333720325705,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:14","end":"19:14","startHours":18.2333720325705,"endHours":19.2333720325705,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:14","end":"20:14","startHours":19.2333720325705,"endHours":20.2333720325705,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:14","end":"21:14","startHours":20.2333720325705,"endHours":21.2333720325705,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:14","end":"22:14","startHours":21.2333720325705,"endHours":22.2333720325705,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:14","end":"23:14","startHours":22.2333720325705,"endHours":23.2333720325705,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:14","end":"00:14","startHours":23.2333720325705,"endHours":24.2333720325705,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:14","end":"01:14","startHours":24.2333720325705,"endHours":25.2333720325705,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:14","end":"02:14","startHours":25.2333720325705,"endHours":26.2333720325705,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:14","end":"03:14","startHours":26.2333720325705,"endHours":27.2333720325705,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:14","end":"04:14","startHours":27.2333720325705,"endHours":28.2333720325705,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:14","end":"05:14","startHours":28.2333720325705,"endHours":29.2333720325705,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:14","end":"06:14","startHours":29.2333720325705,"endHours":30.2333720325705,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-5.473169099370712,"eotMinutes":12.958750209019716,"ayanamsa":25.2606}},"calendars":{"vikram_samvat":2157,"vikram_samvatsara":"Śrīmukha","saka_samvat":2022,"saka_samvatsara":"Raudra","bengali_samvat":1507,"malayalam_era":1276,"nanakshahi_year":631,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturthī · Vikram 2157 Śrīmukha · Śaka 2022 Raudra"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 October 7, 2100 CE · Mathurā · Vidhyamitra","description":"October 7, 2100 CE for Mathurā: Śukla Caturthī, sūryodaya 06:14, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2100-10-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2100-10-07","sa":"https://sa.vidhyamitra.com/city/mathura/2100-10-07","hi":"https://hi.vidhyamitra.com/city/mathura/2100-10-07","x-default":"https://vidhyamitra.com/city/mathura/2100-10-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:48:58.880Z","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":"2026-05-14T14:48:58.880Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:48:58.880Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}