{"id":"vidhyamitra:city-day:mathura:1902-09-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1902-09-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1902-09-29","date_display":"September 29, 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":9,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416021.770833,"kali_year":5004,"ahargana":1827556.2708,"sun":{"sidereal_longitude":161.9511,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":129.6545,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.7033,"elapsed_within_tithi_degrees":3.7033},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.6545,"elapsed_within_degrees":9.6545},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.6056},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":9,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2416021.770833,"ahargana":1827556.2708,"kali_year":5004,"ayanamsa_lahiri":22.4944,"grahas":{"sun":{"sidereal_longitude":162.460959,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":129.30665899999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-3.7992},"mars":{"sidereal_longitude":114.03905900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":189.61965899999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":286.34525899999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"venus":{"sidereal_longitude":148.376959,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":270.005859,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":187.274,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":7.274,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":9,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416021.770833,"kali_year":5004,"ahargana":1827556.2708,"sun":{"sidereal_longitude":161.9511,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":129.6545,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.7033,"elapsed_within_tithi_degrees":3.7033},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.6545,"elapsed_within_degrees":9.6545},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.6056},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.799,"elongation":32.297},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.799,"opposition_distance":147.703}},"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":"06:09","sunsetLocal":"18:08","solarNoonLocal":"12:09","dayLengthHours":11.988610922108684,"dayLengthDisplay":"11 Hours 59 Mins 19 Secs","nightLengthDisplay":"12 Hours 00 Mins 41 Secs","moonriseLocal":"03:31","moonsetLocal":"16:22","rahuKala":{"name":"Rāhu Kāla","start":"07:39","end":"09:09","startHours":7.65076496481244,"endHours":9.149341330076027,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:09","startHours":10.647917695339611,"endHours":12.146494060603196,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:39","end":"15:09","startHours":13.645070425866782,"endHours":15.143646791130369,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:21","startHours":8.949531148040881,"endHours":9.34915151211117,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"06:58","startHours":6.651714054636717,"endHours":6.971410345892949,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:33","startHours":11.746873696532907,"endHours":12.546114424673485,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:33","end":"05:21","startHours":4.553707143267697,"endHours":5.352947871408276,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:09","end":"06:09","startHours":5.153137689373131,"endHours":6.152188599548855,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:57","startHours":14.144595880954643,"endHours":14.943836609095221,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.94079952165754,"endHours":18.340799521657537,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:38","startHours":18.140799521657538,"endHours":18.6403249767454,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.890799521657538,"endHours":19.640799521657538,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:33","startHours":23.746873696532905,"endHours":24.546114424673487,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:09","end":"07:39","startHours":6.152188599548855,"endHours":7.65076496481244,"quality":"auspicious"},{"name":"Kāla","start":"07:39","end":"09:09","startHours":7.65076496481244,"endHours":9.149341330076027,"quality":"inauspicious"},{"name":"Śubha","start":"09:09","end":"10:39","startHours":9.149341330076027,"endHours":10.647917695339611,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:09","startHours":10.647917695339611,"endHours":12.146494060603196,"quality":"inauspicious"},{"name":"Udveg","start":"12:09","end":"13:39","startHours":12.146494060603196,"endHours":13.645070425866782,"quality":"inauspicious"},{"name":"Chala","start":"13:39","end":"15:09","startHours":13.645070425866782,"endHours":15.143646791130369,"quality":"neutral"},{"name":"Labha","start":"15:09","end":"16:39","startHours":15.143646791130369,"endHours":16.642223156393953,"quality":"auspicious"},{"name":"Amṛta","start":"16:39","end":"18:08","startHours":16.642223156393953,"endHours":18.140799521657538,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:08","end":"19:39","startHours":18.140799521657538,"endHours":19.642223156393953,"quality":"neutral"},{"name":"Labha","start":"19:39","end":"21:09","startHours":19.642223156393953,"endHours":21.143646791130365,"quality":"auspicious"},{"name":"Amṛta","start":"21:09","end":"22:39","startHours":21.143646791130365,"endHours":22.64507042586678,"quality":"auspicious"},{"name":"Kāla","start":"22:39","end":"00:09","startHours":22.64507042586678,"endHours":24.146494060603196,"quality":"inauspicious"},{"name":"Śubha","start":"00:09","end":"01:39","startHours":24.146494060603196,"endHours":25.64791769533961,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"03:09","startHours":25.64791769533961,"endHours":27.149341330076027,"quality":"inauspicious"},{"name":"Udveg","start":"03:09","end":"04:39","startHours":27.149341330076027,"endHours":28.65076496481244,"quality":"inauspicious"},{"name":"Chala","start":"04:39","end":"06:09","startHours":28.65076496481244,"endHours":30.152188599548854,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.152188599548855,"endHours":7.152188599548855,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.152188599548855,"endHours":8.152188599548854,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.152188599548854,"endHours":9.152188599548854,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.152188599548854,"endHours":10.152188599548854,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.152188599548854,"endHours":11.152188599548854,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.152188599548854,"endHours":12.152188599548854,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.152188599548854,"endHours":13.152188599548854,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.152188599548854,"endHours":14.152188599548854,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.152188599548854,"endHours":15.152188599548854,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.152188599548854,"endHours":16.152188599548854,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.152188599548854,"endHours":17.152188599548854,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.152188599548854,"endHours":18.152188599548854,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.152188599548854,"endHours":19.152188599548854,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.152188599548854,"endHours":20.152188599548854,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.152188599548854,"endHours":21.152188599548854,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.152188599548854,"endHours":22.152188599548854,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.152188599548854,"endHours":23.152188599548854,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.152188599548854,"endHours":24.152188599548854,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.152188599548854,"endHours":25.152188599548854,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.152188599548854,"endHours":26.152188599548854,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.152188599548854,"endHours":27.152188599548854,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.152188599548854,"endHours":28.152188599548854,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.152188599548854,"endHours":29.152188599548854,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.152188599548854,"endHours":30.152188599548854,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","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":-1.9688384096782683,"eotMinutes":10.515556363808276,"ayanamsa":22.4944}},"calendars":{"vikram_samvat":1959,"vikram_samvatsara":"Rākṣasa","saka_samvat":1824,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1309,"malayalam_era":1078,"nanakshahi_year":433,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Trayodaśī · Vikram 1959 Rākṣasa · Śaka 1824 Śubhakṛt"},"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":"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 September 29, 1902 CE · Mathurā · Vidhyamitra","description":"September 29, 1902 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 06:09, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1902-09-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1902-09-29","sa":"https://sa.vidhyamitra.com/city/mathura/1902-09-29","hi":"https://hi.vidhyamitra.com/city/mathura/1902-09-29","x-default":"https://vidhyamitra.com/city/mathura/1902-09-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:45:07.992Z","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":"2026-05-14T12:45:07.992Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:45:07.992Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}