{"id":"vidhyamitra:city-day:mathura:1946-10-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1946-10-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1946-10-07","date_display":"October 7, 1946 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":1946,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2432100.770833,"kali_year":5048,"ahargana":1843635.2708,"sun":{"sidereal_longitude":169.4492,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":301.5151,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.0659,"elapsed_within_tithi_degrees":0.0659},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":301.5151,"elapsed_within_degrees":8.1817},"yoga":{"number":9,"name":"Śūla","sum_longitude":110.9642},"karana":{"half_tithi_index":22,"name":"Bava"},"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":1946,"month":10,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2432100.770833,"ahargana":1843635.2708,"kali_year":5048,"ayanamsa_lahiri":23.1093,"grahas":{"sun":{"sidereal_longitude":170.06442300000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":301.300523,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-4.1161},"mars":{"sidereal_longitude":196.01422300000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":186.25622299999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":190.641523,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":212.839923,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":104.29082299999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":55.3312,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":235.3312,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":1946,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2432100.770833,"kali_year":5048,"ahargana":1843635.2708,"sun":{"sidereal_longitude":169.4492,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":301.5151,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.0659,"elapsed_within_tithi_degrees":0.0659},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":301.5151,"elapsed_within_degrees":8.1817},"yoga":{"number":9,"name":"Śūla","sum_longitude":110.9642},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.116,"elongation":132.066},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.116,"opposition_distance":47.934}},"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":"06:13","sunsetLocal":"17:59","solarNoonLocal":"12:06","dayLengthHours":11.763828095409377,"dayLengthDisplay":"11 Hours 45 Mins 50 Secs","nightLengthDisplay":"12 Hours 14 Mins 10 Secs","moonriseLocal":"15:17","moonsetLocal":"02:26","rahuKala":{"name":"Rāhu Kāla","start":"07:42","end":"09:10","startHours":7.694338627404488,"endHours":9.16481713933066,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"12:06","startHours":10.635295651256833,"endHours":12.105774163183003,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:35","end":"15:03","startHours":13.576252675109178,"endHours":15.046731187035348,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.968753337740504,"endHours":9.360880940920817,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:02","startHours":6.7140196194537065,"endHours":7.027721701997956,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:30","startHours":11.713646560002692,"endHours":12.497901766363318,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:26","startHours":4.655349702757066,"endHours":5.439604909117691,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:15","end":"06:13","startHours":5.243541107527535,"endHours":6.223860115478316,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:51","startHours":14.066412179084566,"endHours":14.85066738544519,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.787688210887694,"endHours":18.187688210887693,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:29","startHours":17.987688210887693,"endHours":18.477847714863085,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.737688210887693,"endHours":19.487688210887693,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:30","startHours":23.713646560002694,"endHours":24.49790176636332,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:13","end":"07:42","startHours":6.223860115478316,"endHours":7.694338627404488,"quality":"auspicious"},{"name":"Kāla","start":"07:42","end":"09:10","startHours":7.694338627404488,"endHours":9.16481713933066,"quality":"inauspicious"},{"name":"Śubha","start":"09:10","end":"10:38","startHours":9.16481713933066,"endHours":10.635295651256833,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"12:06","startHours":10.635295651256833,"endHours":12.105774163183003,"quality":"inauspicious"},{"name":"Udveg","start":"12:06","end":"13:35","startHours":12.105774163183003,"endHours":13.576252675109178,"quality":"inauspicious"},{"name":"Chala","start":"13:35","end":"15:03","startHours":13.576252675109178,"endHours":15.046731187035348,"quality":"neutral"},{"name":"Labha","start":"15:03","end":"16:31","startHours":15.046731187035348,"endHours":16.51720969896152,"quality":"auspicious"},{"name":"Amṛta","start":"16:31","end":"17:59","startHours":16.51720969896152,"endHours":17.987688210887693,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:59","end":"19:31","startHours":17.987688210887693,"endHours":19.517209698961523,"quality":"neutral"},{"name":"Labha","start":"19:31","end":"21:03","startHours":19.517209698961523,"endHours":21.04673118703535,"quality":"auspicious"},{"name":"Amṛta","start":"21:03","end":"22:35","startHours":21.04673118703535,"endHours":22.576252675109178,"quality":"auspicious"},{"name":"Kāla","start":"22:35","end":"00:06","startHours":22.576252675109178,"endHours":24.105774163183007,"quality":"inauspicious"},{"name":"Śubha","start":"00:06","end":"01:38","startHours":24.105774163183007,"endHours":25.635295651256833,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"03:10","startHours":25.635295651256833,"endHours":27.164817139330662,"quality":"inauspicious"},{"name":"Udveg","start":"03:10","end":"04:42","startHours":27.164817139330662,"endHours":28.69433862740449,"quality":"inauspicious"},{"name":"Chala","start":"04:42","end":"06:13","startHours":28.69433862740449,"endHours":30.223860115478317,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:13","end":"07:13","startHours":6.223860115478316,"endHours":7.223860115478316,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:13","end":"08:13","startHours":7.223860115478316,"endHours":8.223860115478317,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:13","end":"09:13","startHours":8.223860115478317,"endHours":9.223860115478317,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:13","end":"10:13","startHours":9.223860115478317,"endHours":10.223860115478317,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:13","end":"11:13","startHours":10.223860115478317,"endHours":11.223860115478317,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:13","end":"12:13","startHours":11.223860115478317,"endHours":12.223860115478317,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:13","end":"13:13","startHours":12.223860115478317,"endHours":13.223860115478317,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:13","end":"14:13","startHours":13.223860115478317,"endHours":14.223860115478317,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:13","end":"15:13","startHours":14.223860115478317,"endHours":15.223860115478317,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:13","end":"16:13","startHours":15.223860115478317,"endHours":16.223860115478317,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:13","end":"17:13","startHours":16.223860115478317,"endHours":17.223860115478317,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:13","end":"18:13","startHours":17.223860115478317,"endHours":18.223860115478317,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:13","end":"19:13","startHours":18.223860115478317,"endHours":19.223860115478317,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:13","end":"20:13","startHours":19.223860115478317,"endHours":20.223860115478317,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:13","end":"21:13","startHours":20.223860115478317,"endHours":21.223860115478317,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:13","end":"22:13","startHours":21.223860115478317,"endHours":22.223860115478317,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:13","end":"23:13","startHours":22.223860115478317,"endHours":23.223860115478317,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:13","end":"00:13","startHours":23.223860115478317,"endHours":24.223860115478317,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:13","end":"01:13","startHours":24.223860115478317,"endHours":25.223860115478317,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:13","end":"02:13","startHours":25.223860115478317,"endHours":26.223860115478317,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:13","end":"03:13","startHours":26.223860115478317,"endHours":27.223860115478317,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:13","end":"04:13","startHours":27.223860115478317,"endHours":28.223860115478317,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:13","end":"05:13","startHours":28.223860115478317,"endHours":29.223860115478317,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:13","end":"06:13","startHours":29.223860115478317,"endHours":30.223860115478317,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","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":-5.200711973348749,"eotMinutes":12.958750209019716,"ayanamsa":23.1093}},"calendars":{"vikram_samvat":2003,"vikram_samvatsara":"Vikāri","saka_samvat":1868,"saka_samvatsara":"Vyaya","bengali_samvat":1353,"malayalam_era":1122,"nanakshahi_year":477,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Dvādaśī · Vikram 2003 Vikāri · Śaka 1868 Vyaya"},"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}],"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 October 7, 1946 CE · Mathurā · Vidhyamitra","description":"October 7, 1946 CE for Mathurā: Śukla Dvādaśī, sūryodaya 06:13, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1946-10-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1946-10-07","sa":"https://sa.vidhyamitra.com/city/mathura/1946-10-07","hi":"https://hi.vidhyamitra.com/city/mathura/1946-10-07","x-default":"https://vidhyamitra.com/city/mathura/1946-10-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:36:20.566Z","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":"2026-05-14T13:36:20.566Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:36:20.566Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}