{"id":"vidhyamitra:city-day:mathura:1902-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1902-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1902-01-07","date_display":"January 7, 1902 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":1902,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415756.770833,"kali_year":5003,"ahargana":1827291.2708,"sun":{"sidereal_longitude":263.3911,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":230.3,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.909,"elapsed_within_tithi_degrees":2.909},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":230.3,"elapsed_within_degrees":3.6334},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":133.6911},"karana":{"half_tithi_index":54,"name":"Gara"},"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":1902,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2415756.770833,"ahargana":1827291.2708,"kali_year":5003,"ayanamsa_lahiri":22.4842,"grahas":{"sun":{"sidereal_longitude":263.335384,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":231.58788400000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":2.1789},"mars":{"sidereal_longitude":282.84358399999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":267.660484,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":271.798084,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":306.380984,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":267.1562839999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":201.3149,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":21.3149,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"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":1902,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415756.770833,"kali_year":5003,"ahargana":1827291.2708,"sun":{"sidereal_longitude":263.3911,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":230.3,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.909,"elapsed_within_tithi_degrees":2.909},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":230.3,"elapsed_within_degrees":3.6334},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":133.6911},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.179,"elongation":33.091},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.179,"opposition_distance":146.909}},"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":"07:11","sunsetLocal":"17:40","solarNoonLocal":"12:26","dayLengthHours":10.478833002128262,"dayLengthDisplay":"10 Hours 28 Mins 44 Secs","nightLengthDisplay":"13 Hours 31 Mins 16 Secs","moonriseLocal":"05:05","moonsetLocal":"15:32","rahuKala":{"name":"Rāhu Kāla","start":"15:03","end":"16:21","startHours":15.046329488989059,"endHours":16.356183614255094,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:48","end":"11:07","startHours":9.806912987924928,"endHours":11.116767113190962,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:26","end":"13:44","startHours":12.426621238456995,"endHours":13.736475363723027,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.63226577122279,"endHours":9.981560204627067,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.623822779148208,"endHours":7.9032583258716285,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.07732680505272,"endHours":12.77591567186127,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.790027003775762,"endHours":6.488615870584312,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.313968653882175,"endHours":7.187204737392864,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:52","startHours":14.173093405478372,"endHours":14.871682272286924,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.466037739521127,"endHours":17.866037739521126,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:06","startHours":17.666037739521126,"endHours":18.10265578127647,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.416037739521126,"endHours":19.166037739521126,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.07732680505272,"endHours":24.77591567186127,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:11","end":"08:30","startHours":7.187204737392864,"endHours":8.497058862658896,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:48","startHours":8.497058862658896,"endHours":9.806912987924928,"quality":"inauspicious"},{"name":"Chala","start":"09:48","end":"11:07","startHours":9.806912987924928,"endHours":11.116767113190962,"quality":"neutral"},{"name":"Labha","start":"11:07","end":"12:26","startHours":11.116767113190962,"endHours":12.426621238456995,"quality":"auspicious"},{"name":"Amṛta","start":"12:26","end":"13:44","startHours":12.426621238456995,"endHours":13.736475363723027,"quality":"auspicious"},{"name":"Kāla","start":"13:44","end":"15:03","startHours":13.736475363723027,"endHours":15.046329488989059,"quality":"inauspicious"},{"name":"Śubha","start":"15:03","end":"16:21","startHours":15.046329488989059,"endHours":16.356183614255094,"quality":"auspicious"},{"name":"Roga","start":"16:21","end":"17:40","startHours":16.356183614255094,"endHours":17.666037739521126,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:40","end":"19:21","startHours":17.666037739521126,"endHours":19.356183614255094,"quality":"inauspicious"},{"name":"Śubha","start":"19:21","end":"21:03","startHours":19.356183614255094,"endHours":21.04632948898906,"quality":"auspicious"},{"name":"Roga","start":"21:03","end":"22:44","startHours":21.04632948898906,"endHours":22.736475363723027,"quality":"inauspicious"},{"name":"Udveg","start":"22:44","end":"00:26","startHours":22.736475363723027,"endHours":24.426621238456995,"quality":"inauspicious"},{"name":"Chala","start":"00:26","end":"02:07","startHours":24.426621238456995,"endHours":26.116767113190964,"quality":"neutral"},{"name":"Labha","start":"02:07","end":"03:48","startHours":26.116767113190964,"endHours":27.80691298792493,"quality":"auspicious"},{"name":"Amṛta","start":"03:48","end":"05:30","startHours":27.80691298792493,"endHours":29.497058862658896,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:11","startHours":29.497058862658896,"endHours":31.187204737392864,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.187204737392864,"endHours":8.187204737392864,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.187204737392864,"endHours":9.187204737392864,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.187204737392864,"endHours":10.187204737392864,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.187204737392864,"endHours":11.187204737392864,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.187204737392864,"endHours":12.187204737392864,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.187204737392864,"endHours":13.187204737392864,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.187204737392864,"endHours":14.187204737392864,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.187204737392864,"endHours":15.187204737392864,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.187204737392864,"endHours":16.187204737392864,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.187204737392864,"endHours":17.187204737392864,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.187204737392864,"endHours":18.187204737392864,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.187204737392864,"endHours":19.187204737392864,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.187204737392864,"endHours":20.187204737392864,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.187204737392864,"endHours":21.187204737392864,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.187204737392864,"endHours":22.187204737392864,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.187204737392864,"endHours":23.187204737392864,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.187204737392864,"endHours":24.187204737392864,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.187204737392864,"endHours":25.187204737392864,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.187204737392864,"endHours":26.187204737392864,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.187204737392864,"endHours":27.187204737392864,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.187204737392864,"endHours":28.187204737392864,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.187204737392864,"endHours":29.187204737392864,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.187204737392864,"endHours":30.187204737392864,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.187204737392864,"endHours":31.187204737392864,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.49906109358612,"eotMinutes":-6.292074307419696,"ayanamsa":22.4842}},"calendars":{"vikram_samvat":1959,"vikram_samvatsara":"Rākṣasa","saka_samvat":1824,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1309,"malayalam_era":1078,"nanakshahi_year":433,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Trayodaśī · Vikram 1959 Rākṣasa · Śaka 1824 Śubhakṛt"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"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":"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 January 7, 1902 CE · Mathurā · Vidhyamitra","description":"January 7, 1902 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 07:11, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1902-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1902-01-07","sa":"https://sa.vidhyamitra.com/city/mathura/1902-01-07","hi":"https://hi.vidhyamitra.com/city/mathura/1902-01-07","x-default":"https://vidhyamitra.com/city/mathura/1902-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:35:27.178Z","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":"2026-05-14T11:35:27.178Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:35:27.178Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}