{"id":"vidhyamitra:city-day:mathura:1908-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1908-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1908-09-13","date_display":"September 13, 1908 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":1908,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2418197.770833,"kali_year":5010,"ahargana":1829732.2708,"sun":{"sidereal_longitude":146.7597,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":0.8981,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":214.1384,"elapsed_within_tithi_degrees":10.1384},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.8981,"elapsed_within_degrees":0.8981},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.6577},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"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":1908,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2418197.770833,"ahargana":1829732.2708,"kali_year":5010,"ayanamsa_lahiri":22.5776,"grahas":{"sun":{"sidereal_longitude":147.26281999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":2.4081199999999967,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-4.2564},"mars":{"sidereal_longitude":141.34371999999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":166.94732,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":128.71831999999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":102.49011999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":346.72332,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":71.979,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":251.979,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":1908,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2418197.770833,"kali_year":5010,"ahargana":1829732.2708,"sun":{"sidereal_longitude":146.7597,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":0.8981,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":214.1384,"elapsed_within_tithi_degrees":10.1384},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.8981,"elapsed_within_degrees":0.8981},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.6577},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.256,"elongation":145.862},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.256,"opposition_distance":34.138}},"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":"06:02","sunsetLocal":"18:27","solarNoonLocal":"12:15","dayLengthHours":12.40529929610736,"dayLengthDisplay":"12 Hours 24 Mins 19 Secs","nightLengthDisplay":"11 Hours 35 Mins 41 Secs","moonriseLocal":"20:12","moonsetLocal":"08:58","rahuKala":{"name":"Rāhu Kāla","start":"16:54","end":"18:27","startHours":16.89450938720916,"endHours":18.445171799222578,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:15","end":"13:48","startHours":12.242522151168899,"endHours":13.793184563182319,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:21","end":"16:54","startHours":15.343846975195738,"endHours":16.89450938720916,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.934442338873602,"endHours":9.347952315410513,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:53","startHours":6.556759973786358,"endHours":6.8875679550158875,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:39","startHours":11.829012174631988,"endHours":12.65603212770581,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:13","startHours":4.385832596967569,"endHours":5.212852550041394,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:00","end":"06:02","startHours":5.006097561772938,"endHours":6.039872503115218,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:08","startHours":14.310072033853459,"endHours":15.137091986927283,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.24517179922258,"endHours":18.645171799222577,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"18:58","startHours":18.445171799222578,"endHours":18.962059269893718,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.195171799222578,"endHours":19.945171799222578,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:39","startHours":23.829012174631988,"endHours":24.65603212770581,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:02","end":"07:35","startHours":6.039872503115218,"endHours":7.590534915128638,"quality":"inauspicious"},{"name":"Chala","start":"07:35","end":"09:08","startHours":7.590534915128638,"endHours":9.141197327142057,"quality":"neutral"},{"name":"Labha","start":"09:08","end":"10:42","startHours":9.141197327142057,"endHours":10.691859739155479,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:15","startHours":10.691859739155479,"endHours":12.242522151168899,"quality":"auspicious"},{"name":"Kāla","start":"12:15","end":"13:48","startHours":12.242522151168899,"endHours":13.793184563182319,"quality":"inauspicious"},{"name":"Śubha","start":"13:48","end":"15:21","startHours":13.793184563182319,"endHours":15.343846975195738,"quality":"auspicious"},{"name":"Roga","start":"15:21","end":"16:54","startHours":15.343846975195738,"endHours":16.89450938720916,"quality":"inauspicious"},{"name":"Udveg","start":"16:54","end":"18:27","startHours":16.89450938720916,"endHours":18.445171799222578,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:27","end":"19:54","startHours":18.445171799222578,"endHours":19.89450938720916,"quality":"auspicious"},{"name":"Roga","start":"19:54","end":"21:21","startHours":19.89450938720916,"endHours":21.34384697519574,"quality":"inauspicious"},{"name":"Udveg","start":"21:21","end":"22:48","startHours":21.34384697519574,"endHours":22.79318456318232,"quality":"inauspicious"},{"name":"Chala","start":"22:48","end":"00:15","startHours":22.79318456318232,"endHours":24.2425221511689,"quality":"neutral"},{"name":"Labha","start":"00:15","end":"01:42","startHours":24.2425221511689,"endHours":25.69185973915548,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"03:08","startHours":25.69185973915548,"endHours":27.14119732714206,"quality":"auspicious"},{"name":"Kāla","start":"03:08","end":"04:35","startHours":27.14119732714206,"endHours":28.590534915128636,"quality":"inauspicious"},{"name":"Śubha","start":"04:35","end":"06:02","startHours":28.590534915128636,"endHours":30.03987250311522,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:02","end":"07:02","startHours":6.039872503115218,"endHours":7.039872503115218,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:02","end":"08:02","startHours":7.039872503115218,"endHours":8.039872503115218,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:02","end":"09:02","startHours":8.039872503115218,"endHours":9.039872503115218,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:02","end":"10:02","startHours":9.039872503115218,"endHours":10.039872503115218,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:02","end":"11:02","startHours":10.039872503115218,"endHours":11.039872503115218,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:02","end":"12:02","startHours":11.039872503115218,"endHours":12.039872503115218,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:02","end":"13:02","startHours":12.039872503115218,"endHours":13.039872503115218,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:02","end":"14:02","startHours":13.039872503115218,"endHours":14.039872503115218,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:02","end":"15:02","startHours":14.039872503115218,"endHours":15.039872503115218,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:02","end":"16:02","startHours":15.039872503115218,"endHours":16.03987250311522,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:02","end":"17:02","startHours":16.03987250311522,"endHours":17.03987250311522,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:02","end":"18:02","startHours":17.03987250311522,"endHours":18.03987250311522,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:02","end":"19:02","startHours":18.03987250311522,"endHours":19.03987250311522,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:02","end":"20:02","startHours":19.03987250311522,"endHours":20.03987250311522,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:02","end":"21:02","startHours":20.03987250311522,"endHours":21.03987250311522,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:02","end":"22:02","startHours":21.03987250311522,"endHours":22.03987250311522,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:02","end":"23:02","startHours":22.03987250311522,"endHours":23.03987250311522,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:02","end":"00:02","startHours":23.03987250311522,"endHours":24.03987250311522,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:02","end":"01:02","startHours":24.03987250311522,"endHours":25.03987250311522,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:02","end":"02:02","startHours":25.03987250311522,"endHours":26.03987250311522,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:02","end":"03:02","startHours":26.03987250311522,"endHours":27.03987250311522,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:02","end":"04:02","startHours":27.03987250311522,"endHours":28.03987250311522,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:02","end":"05:02","startHours":28.03987250311522,"endHours":29.03987250311522,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:02","end":"06:02","startHours":29.03987250311522,"endHours":30.03987250311522,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":4.0229578075993695,"eotMinutes":4.753870929866006,"ayanamsa":22.5776}},"calendars":{"vikram_samvat":1965,"vikram_samvatsara":"Durmati","saka_samvat":1830,"saka_samvatsara":"Kīlaka","bengali_samvat":1315,"malayalam_era":1084,"nanakshahi_year":439,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Tṛtīyā · Vikram 1965 Durmati · Śaka 1830 Kīlaka"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"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":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 September 13, 1908 CE · Mathurā · Vidhyamitra","description":"September 13, 1908 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 06:02, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1908-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1908-09-13","sa":"https://sa.vidhyamitra.com/city/mathura/1908-09-13","hi":"https://hi.vidhyamitra.com/city/mathura/1908-09-13","x-default":"https://vidhyamitra.com/city/mathura/1908-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:56:56.807Z","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":"2026-05-14T11:56:56.807Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:56:56.807Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}